{"id":8800,"date":"2026-09-15T23:28:27","date_gmt":"2026-09-15T16:28:27","guid":{"rendered":"https:\/\/docx247.com\/?post_type=product&p=8800"},"modified":"2026-09-16T11:16:26","modified_gmt":"2026-09-16T04:16:26","slug":"toan-cao-cap-a1-va-a2-dap-an-trac-nghiem-dai-hoc-quoc-gia-ha-noi","status":"publish","type":"product","link":"https:\/\/docx247.com\/en\/tai-lieu\/toan-cao-cap-a1-va-a2-dap-an-trac-nghiem-dai-hoc-quoc-gia-ha-noi\/","title":{"rendered":"To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU \u2013 \u0110\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i (File DOCX)"},"content":{"rendered":"

\ud83d\udcd8 TO\u00c1N CAO C\u1ea4P A1 V\u00c0 A2 VNU \u2013 \u0110\u00c1P \u00c1N TR\u1eaeC NGHI\u1ec6M \u0110\u1ea0I H\u1eccC QU\u1ed0C GIA H\u00c0 N\u1ed8I<\/strong><\/p>\n

\ud83d\udc41 XEM TR\u01af\u1edaC 20\u201330% N\u1ed8I DUNG<\/strong><\/p>\n

Ng\u01b0\u1eddi d\u00f9ng c\u00f3 th\u1ec3 xem tr\u01b0\u1edbc kho\u1ea3ng 20\u201330% n\u1ed9i dung c\u1ee7a t\u00e0i li\u1ec7u 296 trang tr\u01b0\u1edbc khi quy\u1ebft \u0111\u1ecbnh t\u1ea3i b\u1ea3n \u0111\u1ea7y \u0111\u1ee7.<\/p>\n

Ph\u1ea7n xem tr\u01b0\u1edbc gi\u00fap ki\u1ec3m tra:<\/p>\n

C\u1ea5u tr\u00fac t\u00e0i li\u1ec7u.<\/p>\n

C\u00e1ch tr\u00ecnh b\u00e0y.<\/p>\n

D\u1ea1ng c\u00e2u h\u1ecfi.<\/p>\n

C\u00e1ch b\u1ed1 tr\u00ed \u0111\u00e1p \u00e1n.<\/p>\n

M\u1ed9t ph\u1ea7n n\u1ed9i dung th\u1ef1c t\u1ebf c\u1ee7a t\u00e0i li\u1ec7u.<\/p>\n

\ud83d\udce5 NH\u1eacN FILE DOCX \u0110\u1ea6Y \u0110\u1ee6<\/strong><\/p>\n

Sau khi thanh to\u00e1n th\u00e0nh c\u00f4ng, ng\u01b0\u1eddi d\u00f9ng c\u00f3 th\u1ec3 t\u1ea3i file DOCX \u0111\u1ea7y \u0111\u1ee7 296 trang v\u1ec1 m\u00e1y \u0111\u1ec3 s\u1eed d\u1ee5ng trong qu\u00e1 tr\u00ecnh h\u1ecdc t\u1eadp, luy\u1ec7n t\u1eadp v\u00e0 \u00f4n thi.<\/p>\n

\ud83d\udcb3 THANH TO\u00c1N QUA VNPAY<\/strong><\/p>\n

Thanh to\u00e1n nhanh ch\u00f3ng, thu\u1eadn ti\u1ec7n qua VNPAY. Sau khi giao d\u1ecbch th\u00e0nh c\u00f4ng, h\u1ec7 th\u1ed1ng cung c\u1ea5p t\u00e0i li\u1ec7u \u0111\u1ec3 ng\u01b0\u1eddi d\u00f9ng t\u1ea3i xu\u1ed1ng.<\/p>\n

\ud83c\udfaf \u00d4N \u0110\u00daNG TR\u1eccNG T\u00c2M \u2013 TRA C\u1ee8U NHANH \u2013 TI\u1ebeT KI\u1ec6M TH\u1edcI GIAN<\/strong><\/p>\n

T\u00e0i li\u1ec7u \u0110\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU \u2013 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i g\u1ed3m 296 trang, \u0111\u01b0\u1ee3c chu\u1ea9n b\u1ecb nh\u1eb1m h\u1ed7 tr\u1ee3 sinh vi\u00ean luy\u1ec7n t\u1eadp c\u00e2u h\u1ecfi, ki\u1ec3m tra \u0111\u00e1p \u00e1n, c\u1ee7ng c\u1ed1 c\u00e1c ki\u1ebfn th\u1ee9c to\u00e1n h\u1ecdc n\u1ec1n t\u1ea3ng \u1edf b\u1eadc \u0111\u1ea1i h\u1ecdc v\u00e0 h\u1ed7 tr\u1ee3 \u00f4n t\u1eadp, \u00f4n thi hi\u1ec7u qu\u1ea3.<\/p>\n

To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 th\u01b0\u1eddng bao g\u1ed3m c\u00e1c nh\u00f3m ki\u1ebfn th\u1ee9c quan tr\u1ecdng nh\u01b0 t\u1eadp h\u1ee3p v\u00e0 h\u00e0m s\u1ed1, gi\u1edbi h\u1ea1n, \u0111\u1ea1o h\u00e0m, vi ph\u00e2n, t\u00edch ph\u00e2n, chu\u1ed7i, h\u00e0m nhi\u1ec1u bi\u1ebfn, \u0111\u1ea1o h\u00e0m ri\u00eang, c\u1ef1c tr\u1ecb, t\u00edch ph\u00e2n nhi\u1ec1u l\u1edbp, ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n, ma tr\u1eadn, \u0111\u1ecbnh th\u1ee9c, h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh tuy\u1ebfn t\u00ednh, kh\u00f4ng gian vect\u01a1, \u00e1nh x\u1ea1 tuy\u1ebfn t\u00ednh v\u00e0 c\u00e1c n\u1ed9i dung to\u00e1n h\u1ecdc li\u00ean quan.<\/p>\n

Trong qu\u00e1 tr\u00ecnh luy\u1ec7n t\u1eadp, sinh vi\u00ean c\u1ea7n ch\u00fa \u00fd \u0111\u1ebfn \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh, c\u00f4ng th\u1ee9c, t\u00ednh ch\u1ea5t, ph\u01b0\u01a1ng ph\u00e1p bi\u1ebfn \u0111\u1ed5i, quy t\u1eafc t\u00ednh to\u00e1n v\u00e0 c\u00e1ch l\u1ef1a ch\u1ecdn ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i ph\u00f9 h\u1ee3p cho t\u1eebng d\u1ea1ng b\u00e0i.<\/p>\n

T\u00e0i li\u1ec7u c\u00f3 dung l\u01b0\u1ee3ng 296 trang, ph\u00f9 h\u1ee3p \u0111\u1ec3 sinh vi\u00ean luy\u1ec7n t\u1eadp theo t\u1eebng nh\u00f3m ki\u1ebfn th\u1ee9c, \u0111\u1ed1i chi\u1ebfu \u0111\u00e1p \u00e1n, h\u1ec7 th\u1ed1ng h\u00f3a c\u00f4ng th\u1ee9c v\u00e0 c\u1ee7ng c\u1ed1 nh\u1eefng n\u1ed9i dung c\u00f2n ch\u01b0a ch\u1eafc ch\u1eafn tr\u01b0\u1edbc c\u00e1c k\u1ef3 ki\u1ec3m tra ho\u1eb7c thi k\u1ebft th\u00fac h\u1ecdc ph\u1ea7n.<\/p>\n

\u2705 T\u00c0I LI\u1ec6U H\u1ed6 TR\u1ee2:<\/strong><\/p>\n

Luy\u1ec7n t\u1eadp c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2.<\/p>\n

Ki\u1ec3m tra v\u00e0 \u0111\u1ed1i chi\u1ebfu \u0111\u00e1p \u00e1n nhanh ch\u00f3ng.<\/p>\n

C\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c v\u1ec1 t\u1eadp h\u1ee3p v\u00e0 h\u00e0m s\u1ed1.<\/p>\n

\u00d4n t\u1eadp gi\u1edbi h\u1ea1n.<\/p>\n

C\u1ee7ng c\u1ed1 t\u00ednh li\u00ean t\u1ee5c.<\/p>\n

\u00d4n t\u1eadp \u0111\u1ea1o h\u00e0m.<\/p>\n

C\u1ee7ng c\u1ed1 vi ph\u00e2n.<\/p>\n

\u00d4n t\u1eadp \u1ee9ng d\u1ee5ng c\u1ee7a \u0111\u1ea1o h\u00e0m.<\/p>\n

C\u1ee7ng c\u1ed1 b\u00e0i to\u00e1n c\u1ef1c tr\u1ecb.<\/p>\n

\u00d4n t\u1eadp nguy\u00ean h\u00e0m.<\/p>\n

C\u1ee7ng c\u1ed1 t\u00edch ph\u00e2n x\u00e1c \u0111\u1ecbnh.<\/p>\n

\u00d4n t\u1eadp t\u00edch ph\u00e2n suy r\u1ed9ng.<\/p>\n

C\u1ee7ng c\u1ed1 chu\u1ed7i s\u1ed1.<\/p>\n

\u00d4n t\u1eadp chu\u1ed7i l\u0169y th\u1eeba.<\/p>\n

C\u1ee7ng c\u1ed1 h\u00e0m nhi\u1ec1u bi\u1ebfn.<\/p>\n

\u00d4n t\u1eadp \u0111\u1ea1o h\u00e0m ri\u00eang.<\/p>\n

C\u1ee7ng c\u1ed1 vi ph\u00e2n to\u00e0n ph\u1ea7n.<\/p>\n

\u00d4n t\u1eadp c\u1ef1c tr\u1ecb h\u00e0m nhi\u1ec1u bi\u1ebfn.<\/p>\n

C\u1ee7ng c\u1ed1 t\u00edch ph\u00e2n k\u00e9p v\u00e0 t\u00edch ph\u00e2n b\u1ed9i.<\/p>\n

\u00d4n t\u1eadp ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n.<\/p>\n

C\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c v\u1ec1 ma tr\u1eadn.<\/p>\n

\u00d4n t\u1eadp \u0111\u1ecbnh th\u1ee9c.<\/p>\n

C\u1ee7ng c\u1ed1 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh tuy\u1ebfn t\u00ednh.<\/p>\n

\u00d4n t\u1eadp kh\u00f4ng gian vect\u01a1.<\/p>\n

C\u1ee7ng c\u1ed1 \u00e1nh x\u1ea1 tuy\u1ebfn t\u00ednh.<\/p>\n

\u00d4n t\u1eadp gi\u00e1 tr\u1ecb ri\u00eang v\u00e0 vect\u01a1 ri\u00eang.<\/p>\n

Nh\u1eadn di\u1ec7n nh\u1eefng d\u1ea1ng b\u00e0i d\u1ec5 nh\u1ea7m l\u1eabn.<\/p>\n

Ti\u1ebft ki\u1ec7m th\u1eddi gian t\u1ef1 t\u1ed5ng h\u1ee3p c\u00e2u h\u1ecfi v\u00e0 \u0111\u00e1p \u00e1n.<\/p>\n

H\u1ed7 tr\u1ee3 \u00f4n t\u1eadp, \u00f4n thi hi\u1ec7u qu\u1ea3.<\/p>\n

\ud83d\udcc4 FILE DOCX 296 TRANG THU\u1eacN TI\u1ec6N S\u1eec D\u1ee4NG<\/strong><\/p>\n

T\u00e0i li\u1ec7u \u0111\u01b0\u1ee3c cung c\u1ea5p d\u01b0\u1edbi \u0111\u1ecbnh d\u1ea1ng DOCX g\u1ed3m 296 trang, thu\u1eadn ti\u1ec7n \u0111\u1ec3:<\/p>\n

T\u1ea3i v\u00e0 l\u01b0u tr\u1eef tr\u00ean m\u00e1y t\u00ednh.<\/p>\n

T\u00ecm ki\u1ebfm nhanh t\u1eeb kh\u00f3a.<\/p>\n

Tra c\u1ee9u c\u00e2u h\u1ecfi v\u00e0 \u0111\u00e1p \u00e1n.<\/p>\n

\u0110\u00e1nh d\u1ea5u nh\u1eefng c\u00e2u th\u01b0\u1eddng tr\u1ea3 l\u1eddi sai.<\/p>\n

Ghi ch\u00fa c\u00e1c c\u00f4ng th\u1ee9c c\u1ea7n \u00f4n l\u1ea1i.<\/p>\n

Chia n\u1ed9i dung th\u00e0nh t\u1eebng nh\u00f3m ki\u1ebfn th\u1ee9c \u0111\u1ec3 luy\u1ec7n t\u1eadp.<\/p>\n

S\u1eed d\u1ee5ng b\u1eb1ng Microsoft Word ho\u1eb7c ph\u1ea7n m\u1ec1m h\u1ed7 tr\u1ee3 DOCX.<\/p>\n

\u00d4n t\u1eadp nhi\u1ec1u l\u1ea7n khi c\u1ea7n.<\/p>\n

\ud83c\udf93 T\u00c0I LI\u1ec6U PH\u00d9 H\u1ee2P V\u1edaI:<\/strong><\/p>\n

Sinh vi\u00ean \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i h\u1ecdc m\u00f4n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2.<\/p>\n

Sinh vi\u00ean c\u1ea7n c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c to\u00e1n h\u1ecdc \u0111\u1ea1i c\u01b0\u01a1ng \u1edf b\u1eadc \u0111\u1ea1i h\u1ecdc.<\/p>\n

Sinh vi\u00ean c\u1ea7n luy\u1ec7n t\u1eadp c\u00e2u h\u1ecfi tr\u1eafc nghi\u1ec7m.<\/p>\n

Sinh vi\u00ean c\u1ea7n ki\u1ec3m tra v\u00e0 \u0111\u1ed1i chi\u1ebfu \u0111\u00e1p \u00e1n.<\/p>\n

Sinh vi\u00ean c\u1ea7n h\u1ec7 th\u1ed1ng c\u00f4ng th\u1ee9c v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i.<\/p>\n

Sinh vi\u00ean c\u1ea7n luy\u1ec7n t\u1eadp c\u00e1c d\u1ea1ng b\u00e0i gi\u1ea3i t\u00edch v\u00e0 \u0111\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh.<\/p>\n

Sinh vi\u00ean chu\u1ea9n b\u1ecb ki\u1ec3m tra gi\u1eefa k\u1ef3.<\/p>\n

Sinh vi\u00ean chu\u1ea9n b\u1ecb thi k\u1ebft th\u00fac h\u1ecdc ph\u1ea7n.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n t\u00e0i li\u1ec7u h\u1ed7 tr\u1ee3 \u00f4n t\u1eadp, \u00f4n thi hi\u1ec7u qu\u1ea3.<\/p>\n

\ud83d\udd0e T\u1eea KH\u00d3A LI\u00caN QUAN:<\/strong><\/p>\n

VNU<\/strong><\/p>\n

\u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n

To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU<\/p>\n

To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU \u0111\u00e1p \u00e1n<\/p>\n

m\u00f4n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU<\/p>\n

\u0111\u00e1p \u00e1n m\u00f4n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU<\/p>\n

\u0111\u00e1p \u00e1n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU<\/p>\n

tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU<\/p>\n

\u0111\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU<\/p>\n

tr\u1eafc nghi\u1ec7m m\u00f4n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU<\/p>\n

To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n

To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i \u0111\u00e1p \u00e1n<\/p>\n

m\u00f4n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n

\u0111\u00e1p \u00e1n m\u00f4n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n

\u0111\u00e1p \u00e1n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n

tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n

\u0111\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n

tr\u1eafc nghi\u1ec7m m\u00f4n To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i<\/p>\n","protected":false},"excerpt":{"rendered":"

\ud83d\udcd8 \u0110\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU \u2013 \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i (File DOCX 296 trang).<\/p>\n

\u2705 H\u1ed7 tr\u1ee3 luy\u1ec7n t\u1eadp c\u00e2u h\u1ecfi, ki\u1ec3m tra \u0111\u00e1p \u00e1n, c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c gi\u1ea3i t\u00edch, \u0111\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh, c\u00f4ng th\u1ee9c v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i, h\u1ed7 tr\u1ee3 \u00f4n t\u1eadp, \u00f4n thi hi\u1ec7u qu\u1ea3.<\/p>\n

\ud83d\udc41 Xem tr\u01b0\u1edbc kho\u1ea3ng 20\u201330% n\u1ed9i dung c\u1ee7a to\u00e0n b\u1ed9 t\u00e0i li\u1ec7u.<\/p>\n

\ud83d\udcb3 Thanh to\u00e1n thu\u1eadn ti\u1ec7n qua VNPAY.<\/p>\n

\ud83d\udce5 Nh\u1eadn file DOCX \u0111\u1ea7y \u0111\u1ee7 sau khi thanh to\u00e1n th\u00e0nh c\u00f4ng.<\/p>\n","protected":false},"featured_media":8482,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false},"product_brand":[314],"product_cat":[29,121,125,129,134],"product_tag":[6952,6963,6953,6964,6954,6965,6955,6966,6956,6967,6957,6958,6959,6960,4642,6961,5431,6962],"class_list":["post-8800","product","type-product","status-publish","has-post-thumbnail","product_brand-docx247-com","product_cat-khoa-hoc-giao-duc","product_cat-giao-trinh-tai-lieu-tong-hop","product_cat-de-cuong-on-tap-de-thi","product_cat-dap-an-trac-nghiem","product_cat-dai-hoc-quoc-gia-ha-noi","product_tag-toan-cao-cap-a1-va-a2-vnu","product_tag-dap-an-mon-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi","product_tag-toan-cao-cap-a1-va-a2-vnu-dap-an","product_tag-dap-an-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi","product_tag-mon-toan-cao-cap-a1-va-a2-vnu","product_tag-trac-nghiem-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi","product_tag-dap-an-mon-toan-cao-cap-a1-va-a2-vnu","product_tag-dap-an-trac-nghiem-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi","product_tag-dap-an-toan-cao-cap-a1-va-a2-vnu","product_tag-trac-nghiem-mon-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi","product_tag-trac-nghiem-toan-cao-cap-a1-va-a2-vnu","product_tag-dap-an-trac-nghiem-toan-cao-cap-a1-va-a2-vnu","product_tag-trac-nghiem-mon-toan-cao-cap-a1-va-a2-vnu","product_tag-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi","product_tag-vnu","product_tag-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi-dap-an","product_tag-dai-hoc-quoc-gia-ha-noi","product_tag-mon-toan-cao-cap-a1-va-a2-dai-hoc-quoc-gia-ha-noi","first","instock","downloadable","virtual","purchasable","product-type-simple"],"acf":{"document_info":{"filetype":"docx","page_count":"296","other_info":[{"title":"Lo\u1ea1i t\u00e0i li\u1ec7u","description":"\u0110\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m"},{"title":"D\u00e0nh cho","description":"Sinh vi\u00ean \u0110\u1ea1i h\u1ecdc Qu\u1ed1c gia H\u00e0 N\u1ed9i (VNU)"},{"title":"M\u00e3 h\u1ecdc ph\u1ea7n","description":"[L\u1ea4Y M\u00c3 H\u1eccC PH\u1ea6N TH\u1ef0C T\u1ebe]"},{"title":"S\u1ed1 t\u00edn ch\u1ec9","description":"[L\u1ea4Y S\u1ed0 T\u00cdN CH\u1ec8 TH\u1ef0C T\u1ebe]"},{"title":"\u0110\u1ecbnh d\u1ea1ng t\u00e0i li\u1ec7u","description":"DOCX"},{"title":"S\u1ed1 trang","description":"296 trang"},{"title":"Xem tr\u01b0\u1edbc","description":"Kho\u1ea3ng 20\u201330% n\u1ed9i dung c\u1ee7a to\u00e0n b\u1ed9 t\u00e0i li\u1ec7u"},{"title":"Thanh to\u00e1n","description":"VNPAY"},{"title":"Ngu\u1ed3n","description":"DOCX247.COM"}]},"document_demo":8801,"additional_content":"

To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU \u2013 N\u1ed9i dung tr\u1ecdng t\u00e2m<\/h2>\n

To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 cung c\u1ea5p n\u1ec1n t\u1ea3ng to\u00e1n h\u1ecdc ph\u1ee5c v\u1ee5 vi\u1ec7c h\u1ecdc t\u1eadp c\u00e1c m\u00f4n chuy\u00ean ng\u00e0nh \u1edf b\u1eadc \u0111\u1ea1i h\u1ecdc, \u0111\u1eb7c bi\u1ec7t l\u00e0 c\u00e1c n\u1ed9i dung v\u1ec1 gi\u1ea3i t\u00edch, \u0111\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh v\u00e0 c\u00e1c c\u00f4ng c\u1ee5 to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n.<\/p>\n

T\u00e0i li\u1ec7u \u0110\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m To\u00e1n cao c\u1ea5p A1 v\u00e0 A2 VNU g\u1ed3m 296 trang, h\u1ed7 tr\u1ee3 sinh vi\u00ean luy\u1ec7n t\u1eadp c\u00e2u h\u1ecfi, ki\u1ec3m tra ki\u1ebfn th\u1ee9c, \u0111\u1ed1i chi\u1ebfu \u0111\u00e1p \u00e1n, h\u1ec7 th\u1ed1ng h\u00f3a c\u00f4ng th\u1ee9c v\u00e0 h\u1ed7 tr\u1ee3 \u00f4n t\u1eadp, \u00f4n thi hi\u1ec7u qu\u1ea3.<\/p>\n

T\u1eadp h\u1ee3p<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd:<\/p>\n

Kh\u00e1i ni\u1ec7m t\u1eadp h\u1ee3p.<\/p>\n

Ph\u1ea7n t\u1eed.<\/p>\n

T\u1eadp con.<\/p>\n

T\u1eadp r\u1ed7ng.<\/p>\n

H\u1ee3p.<\/p>\n

Giao.<\/p>\n

Hi\u1ec7u.<\/p>\n

Ph\u1ea7n b\u00f9.<\/p>\n

2. C\u00e1c t\u1eadp h\u1ee3p s\u1ed1<\/h3>\n

C\u00e1c t\u1eadp h\u1ee3p th\u01b0\u1eddng g\u1eb7p:<\/p>\n

S\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n

S\u1ed1 nguy\u00ean.<\/p>\n

S\u1ed1 h\u1eefu t\u1ec9.<\/p>\n

S\u1ed1 th\u1ef1c.<\/p>\n

S\u1ed1 ph\u1ee9c.<\/p>\n

C\u1ea7n hi\u1ec3u quan h\u1ec7 bao h\u00e0m gi\u1eefa c\u00e1c t\u1eadp h\u1ee3p s\u1ed1.<\/p>\n

3. Kho\u1ea3ng v\u00e0 \u0111o\u1ea1n<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ph\u00e2n bi\u1ec7t:<\/p>\n

Kho\u1ea3ng m\u1edf.<\/p>\n

Kho\u1ea3ng \u0111\u00f3ng.<\/p>\n

N\u1eeda kho\u1ea3ng.<\/p>\n

\u0110o\u1ea1n.<\/p>\n

Kho\u1ea3ng v\u00f4 h\u1ea1n.<\/p>\n

4. H\u00e0m s\u1ed1<\/h3>\n

C\u00e1c n\u1ed9i dung c\u01a1 b\u1ea3n:<\/p>\n

T\u1eadp x\u00e1c \u0111\u1ecbnh.<\/p>\n

T\u1eadp gi\u00e1 tr\u1ecb.<\/p>\n

\u0110\u1ed3 th\u1ecb.<\/p>\n

H\u00e0m ch\u1eb5n.<\/p>\n

H\u00e0m l\u1ebb.<\/p>\n

H\u00e0m \u0111\u01a1n \u0111i\u1ec7u.<\/p>\n

H\u00e0m tu\u1ea7n ho\u00e0n.<\/p>\n

5. H\u00e0m h\u1ee3p<\/h3>\n

H\u00e0m h\u1ee3p \u0111\u01b0\u1ee3c x\u00e2y d\u1ef1ng t\u1eeb hai ho\u1eb7c nhi\u1ec1u h\u00e0m.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh.<\/p>\n

Th\u1ee9 t\u1ef1 th\u1ef1c hi\u1ec7n.<\/p>\n

Mi\u1ec1n x\u00e1c \u0111\u1ecbnh c\u1ee7a h\u00e0m h\u1ee3p.<\/p>\n

6. H\u00e0m ng\u01b0\u1ee3c<\/h3>\n

\u0110\u1ec3 h\u00e0m c\u00f3 h\u00e0m ng\u01b0\u1ee3c tr\u00ean mi\u1ec1n x\u00e9t, c\u1ea7n ch\u00fa \u00fd \u0111\u1ebfn t\u00ednh m\u1ed9t-m\u1ed9t v\u00e0 \u0111i\u1ec1u ki\u1ec7n t\u01b0\u01a1ng \u1ee9ng.<\/p>\n

7. H\u00e0m s\u01a1 c\u1ea5p<\/h3>\n

M\u1ed9t s\u1ed1 nh\u00f3m h\u00e0m:<\/p>\n

H\u00e0m \u0111a th\u1ee9c.<\/p>\n

H\u00e0m h\u1eefu t\u1ec9.<\/p>\n

H\u00e0m l\u0169y th\u1eeba.<\/p>\n

H\u00e0m m\u0169.<\/p>\n

H\u00e0m logarit.<\/p>\n

H\u00e0m l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n

8. Gi\u1edbi h\u1ea1n c\u1ee7a d\u00e3y s\u1ed1<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n hi\u1ec3u:<\/p>\n

Kh\u00e1i ni\u1ec7m gi\u1edbi h\u1ea1n.<\/p>\n

D\u00e3y h\u1ed9i t\u1ee5.<\/p>\n

D\u00e3y ph\u00e2n k\u1ef3.<\/p>\n

C\u00e1c quy t\u1eafc t\u00ednh gi\u1edbi h\u1ea1n.<\/p>\n

9. Gi\u1edbi h\u1ea1n h\u00e0m s\u1ed1<\/h3>\n

C\u00e1c d\u1ea1ng c\u00f3 th\u1ec3 g\u1ed3m:<\/p>\n

Gi\u1edbi h\u1ea1n t\u1ea1i m\u1ed9t \u0111i\u1ec3m.<\/p>\n

Gi\u1edbi h\u1ea1n m\u1ed9t ph\u00eda.<\/p>\n

Gi\u1edbi h\u1ea1n t\u1ea1i v\u00f4 c\u1ef1c.<\/p>\n

Gi\u1edbi h\u1ea1n v\u00f4 c\u1ef1c.<\/p>\n

10. C\u00e1c gi\u1edbi h\u1ea1n c\u01a1 b\u1ea3n<\/h3>\n

Khi l\u00e0m b\u00e0i c\u1ea7n:<\/p>\n

Nh\u1eadn di\u1ec7n d\u1ea1ng gi\u1edbi h\u1ea1n.<\/p>\n

\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c.<\/p>\n

Bi\u1ebfn \u0111\u1ed5i bi\u1ec3u th\u1ee9c.<\/p>\n

R\u00fat g\u1ecdn tr\u01b0\u1edbc khi t\u00ednh khi c\u1ea7n.<\/p>\n

11. D\u1ea1ng v\u00f4 \u0111\u1ecbnh<\/h3>\n

M\u1ed9t s\u1ed1 d\u1ea1ng th\u01b0\u1eddng g\u1eb7p:<\/p>\n

0\/0.<\/p>\n

\u221e\/\u221e.<\/p>\n

0\u00d7\u221e.<\/p>\n

\u221e\u2212\u221e.<\/p>\n

C\u00e1c d\u1ea1ng l\u0169y th\u1eeba v\u00f4 \u0111\u1ecbnh.<\/p>\n

12. Quy t\u1eafc L'H\u00f4pital<\/h3>\n

Quy t\u1eafc c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng cho m\u1ed9t s\u1ed1 d\u1ea1ng gi\u1edbi h\u1ea1n ph\u00f9 h\u1ee3p.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n tr\u01b0\u1edbc khi s\u1eed d\u1ee5ng.<\/p>\n

13. H\u00e0m li\u00ean t\u1ee5c<\/h3>\n

C\u00e1c n\u1ed9i dung:<\/p>\n

Li\u00ean t\u1ee5c t\u1ea1i m\u1ed9t \u0111i\u1ec3m.<\/p>\n

Li\u00ean t\u1ee5c tr\u00ean kho\u1ea3ng.<\/p>\n

Li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n.<\/p>\n

\u0110i\u1ec3m gi\u00e1n \u0111o\u1ea1n.<\/p>\n

14. T\u00ednh ch\u1ea5t c\u1ee7a h\u00e0m li\u00ean t\u1ee5c<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd c\u00e1c t\u00ednh ch\u1ea5t li\u00ean quan \u0111\u1ebfn:<\/p>\n

T\u1ed5ng.<\/p>\n

Hi\u1ec7u.<\/p>\n

T\u00edch.<\/p>\n

Th\u01b0\u01a1ng.<\/p>\n

H\u00e0m h\u1ee3p.<\/p>\n

15. \u0110\u1ea1o h\u00e0m<\/h3>\n

\u0110\u1ea1o h\u00e0m ph\u1ea3n \u00e1nh t\u1ed1c \u0111\u1ed9 bi\u1ebfn thi\u00ean c\u1ee7a h\u00e0m s\u1ed1.<\/p>\n

C\u1ea7n n\u1eafm:<\/p>\n

\u0110\u1ecbnh ngh\u0129a.<\/p>\n

\u00dd ngh\u0129a h\u00ecnh h\u1ecdc.<\/p>\n

\u00dd ngh\u0129a \u1ee9ng d\u1ee5ng.<\/p>\n

C\u00e1c quy t\u1eafc t\u00ednh.<\/p>\n

16. \u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m s\u01a1 c\u1ea5p<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ghi nh\u1edb \u0111\u1ea1o h\u00e0m c\u1ee7a:<\/p>\n

H\u00e0m h\u1eb1ng.<\/p>\n

H\u00e0m l\u0169y th\u1eeba.<\/p>\n

H\u00e0m m\u0169.<\/p>\n

H\u00e0m logarit.<\/p>\n

H\u00e0m l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n

17. Quy t\u1eafc \u0111\u1ea1o h\u00e0m<\/h3>\n

C\u00e1c quy t\u1eafc:<\/p>\n

\u0110\u1ea1o h\u00e0m t\u1ed5ng.<\/p>\n

\u0110\u1ea1o h\u00e0m hi\u1ec7u.<\/p>\n

\u0110\u1ea1o h\u00e0m t\u00edch.<\/p>\n

\u0110\u1ea1o h\u00e0m th\u01b0\u01a1ng.<\/p>\n

\u0110\u1ea1o h\u00e0m h\u00e0m h\u1ee3p.<\/p>\n

18. \u0110\u1ea1o h\u00e0m c\u1ea5p cao<\/h3>\n

C\u00f3 th\u1ec3 x\u00e9t:<\/p>\n

\u0110\u1ea1o h\u00e0m c\u1ea5p hai.<\/p>\n

\u0110\u1ea1o h\u00e0m c\u1ea5p ba.<\/p>\n

\u0110\u1ea1o h\u00e0m c\u1ea5p n.<\/p>\n

19. Vi ph\u00e2n<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n hi\u1ec3u:<\/p>\n

Kh\u00e1i ni\u1ec7m vi ph\u00e2n.<\/p>\n

Li\u00ean h\u1ec7 gi\u1eefa \u0111\u1ea1o h\u00e0m v\u00e0 vi ph\u00e2n.<\/p>\n

\u1ee8ng d\u1ee5ng trong x\u1ea5p x\u1ec9.<\/p>\n

20. \u1ee8ng d\u1ee5ng \u0111\u1ea1o h\u00e0m<\/h3>\n

\u0110\u1ea1o h\u00e0m c\u00f3 th\u1ec3 d\u00f9ng \u0111\u1ec3:<\/p>\n

X\u00e9t t\u00ednh \u0111\u01a1n \u0111i\u1ec7u.<\/p>\n

T\u00ecm c\u1ef1c tr\u1ecb.<\/p>\n

Kh\u1ea3o s\u00e1t h\u00e0m.<\/p>\n

T\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t.<\/p>\n

21. H\u00e0m t\u0103ng v\u00e0 h\u00e0m gi\u1ea3m<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n:<\/p>\n

T\u00ednh \u0111\u1ea1o h\u00e0m.<\/p>\n

X\u00e9t d\u1ea5u \u0111\u1ea1o h\u00e0m.<\/p>\n

L\u1eadp b\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n

K\u1ebft lu\u1eadn kho\u1ea3ng \u0111\u01a1n \u0111i\u1ec7u.<\/p>\n

22. \u0110i\u1ec3m c\u1ef1c tr\u1ecb<\/h3>\n

C\u00e1c kh\u00e1i ni\u1ec7m:<\/p>\n

C\u1ef1c \u0111\u1ea1i.<\/p>\n

C\u1ef1c ti\u1ec3u.<\/p>\n

\u0110i\u1ec3m t\u1edbi h\u1ea1n.<\/p>\n

\u0110i\u1ec1u ki\u1ec7n c\u1ea7n.<\/p>\n

\u0110i\u1ec1u ki\u1ec7n \u0111\u1ee7.<\/p>\n

23. Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t v\u00e0 nh\u1ecf nh\u1ea5t<\/h3>\n

C\u1ea7n ph\u00e2n bi\u1ec7t:<\/p>\n

C\u1ef1c tr\u1ecb \u0111\u1ecba ph\u01b0\u01a1ng.<\/p>\n

Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t.<\/p>\n

Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t.<\/p>\n

Mi\u1ec1n x\u00e9t.<\/p>\n

24. \u0110\u1ed9 cong v\u00e0 \u0111i\u1ec3m u\u1ed1n<\/h3>\n

\u0110\u1ea1o h\u00e0m c\u1ea5p hai c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3:<\/p>\n

X\u00e9t \u0111\u1ed9 cong.<\/p>\n

X\u00e1c \u0111\u1ecbnh \u0111i\u1ec3m u\u1ed1n.<\/p>\n

H\u1ed7 tr\u1ee3 kh\u1ea3o s\u00e1t \u0111\u1ed3 th\u1ecb.<\/p>\n

25. Ti\u1ec7m c\u1eadn<\/h3>\n

C\u00e1c d\u1ea1ng:<\/p>\n

Ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n

Ti\u1ec7m c\u1eadn ngang.<\/p>\n

Ti\u1ec7m c\u1eadn xi\u00ean.<\/p>\n

26. Kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1<\/h3>\n

Quy tr\u00ecnh c\u00f3 th\u1ec3 g\u1ed3m:<\/p>\n

T\u1eadp x\u00e1c \u0111\u1ecbnh.<\/p>\n

\u0110\u1ea1o h\u00e0m.<\/p>\n

C\u1ef1c tr\u1ecb.<\/p>\n

Gi\u1edbi h\u1ea1n.<\/p>\n

Ti\u1ec7m c\u1eadn.<\/p>\n

B\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n

\u0110\u1ed3 th\u1ecb.<\/p>\n

27. Nguy\u00ean h\u00e0m<\/h3>\n

Nguy\u00ean h\u00e0m l\u00e0 ph\u00e9p to\u00e1n ng\u01b0\u1ee3c c\u1ee7a \u0111\u1ea1o h\u00e0m trong nh\u1eefng \u0111i\u1ec1u ki\u1ec7n ph\u00f9 h\u1ee3p.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n n\u1eafm:<\/p>\n

\u0110\u1ecbnh ngh\u0129a.<\/p>\n

H\u1ecd nguy\u00ean h\u00e0m.<\/p>\n

H\u1eb1ng s\u1ed1 t\u00edch ph\u00e2n.<\/p>\n

28. C\u00e1c nguy\u00ean h\u00e0m c\u01a1 b\u1ea3n<\/h3>\n

C\u1ea7n ghi nh\u1edb c\u00e1c c\u00f4ng th\u1ee9c nguy\u00ean h\u00e0m c\u1ee7a:<\/p>\n

H\u00e0m l\u0169y th\u1eeba.<\/p>\n

H\u00e0m m\u0169.<\/p>\n

H\u00e0m l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n

M\u1ed9t s\u1ed1 h\u00e0m ph\u00e2n th\u1ee9c c\u01a1 b\u1ea3n.<\/p>\n

29. Ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ed5i bi\u1ebfn<\/h3>\n

\u0110\u1ed5i bi\u1ebfn gi\u00fap \u0111\u01b0a t\u00edch ph\u00e2n v\u1ec1 d\u1ea1ng quen thu\u1ed9c.<\/p>\n

C\u1ea7n ch\u00fa \u00fd:<\/p>\n

L\u1ef1a ch\u1ecdn bi\u1ebfn m\u1edbi.<\/p>\n

Thay vi ph\u00e2n.<\/p>\n

\u0110\u1ed5i c\u1eadn khi c\u1ea7n.<\/p>\n

30. T\u00edch ph\u00e2n t\u1eebng ph\u1ea7n<\/h3>\n

C\u00f4ng th\u1ee9c t\u00edch ph\u00e2n t\u1eebng ph\u1ea7n th\u01b0\u1eddng ph\u00f9 h\u1ee3p v\u1edbi t\u00edch c\u1ee7a c\u00e1c nh\u00f3m h\u00e0m nh\u1ea5t \u0111\u1ecbnh.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n l\u1ef1a ch\u1ecdn th\u00e0nh ph\u1ea7n ph\u00f9 h\u1ee3p \u0111\u1ec3 \u0111\u01a1n gi\u1ea3n h\u00f3a ph\u00e9p t\u00ednh.<\/p>\n

31. T\u00edch ph\u00e2n x\u00e1c \u0111\u1ecbnh<\/h3>\n

C\u00e1c n\u1ed9i dung:<\/p>\n

C\u1eadn d\u01b0\u1edbi.<\/p>\n

C\u1eadn tr\u00ean.<\/p>\n

T\u00ednh ch\u1ea5t c\u1ee7a t\u00edch ph\u00e2n.<\/p>\n

C\u00f4ng th\u1ee9c Newton\u2013Leibniz.<\/p>\n

32. T\u00ednh ch\u1ea5t t\u00edch ph\u00e2n x\u00e1c \u0111\u1ecbnh<\/h3>\n

C\u1ea7n ch\u00fa \u00fd:<\/p>\n

T\u00ednh tuy\u1ebfn t\u00ednh.<\/p>\n

\u0110\u1ed5i c\u1eadn.<\/p>\n

Chia kho\u1ea3ng.<\/p>\n

So s\u00e1nh.<\/p>\n

T\u00ednh ch\u1ea5t \u0111\u1ed1i x\u1ee9ng.<\/p>\n

33. \u1ee8ng d\u1ee5ng t\u00edch ph\u00e2n<\/h3>\n

T\u00edch ph\u00e2n c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3:<\/p>\n

T\u00ednh di\u1ec7n t\u00edch.<\/p>\n

T\u00ednh th\u1ec3 t\u00edch.<\/p>\n

T\u00ednh c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng t\u00edch l\u0169y.<\/p>\n

34. T\u00edch ph\u00e2n suy r\u1ed9ng<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd \u0111\u1ebfn:<\/p>\n

C\u1eadn v\u00f4 h\u1ea1n.<\/p>\n

H\u00e0m kh\u00f4ng b\u1ecb ch\u1eb7n.<\/p>\n

\u0110i\u1ec1u ki\u1ec7n h\u1ed9i t\u1ee5.<\/p>\n

\u0110i\u1ec1u ki\u1ec7n ph\u00e2n k\u1ef3.<\/p>\n

35. Chu\u1ed7i s\u1ed1<\/h3>\n

Chu\u1ed7i s\u1ed1 \u0111\u01b0\u1ee3c h\u00ecnh th\u00e0nh t\u1eeb t\u1ed5ng c\u00e1c s\u1ed1 h\u1ea1ng c\u1ee7a m\u1ed9t d\u00e3y.<\/p>\n

C\u00e1c n\u1ed9i dung:<\/p>\n

T\u1ed5ng ri\u00eang.<\/p>\n

H\u1ed9i t\u1ee5.<\/p>\n

Ph\u00e2n k\u1ef3.<\/p>\n

36. \u0110i\u1ec1u ki\u1ec7n h\u1ed9i t\u1ee5 c\u1ee7a chu\u1ed7i<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u00f3 th\u1ec3 c\u1ea7n s\u1eed d\u1ee5ng:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n c\u1ea7n.<\/p>\n

C\u00e1c ti\u00eau chu\u1ea9n so s\u00e1nh.<\/p>\n

Ti\u00eau chu\u1ea9n t\u1ec9 s\u1ed1.<\/p>\n

Ti\u00eau chu\u1ea9n c\u0103n.<\/p>\n

37. Chu\u1ed7i d\u01b0\u01a1ng<\/h3>\n

\u0110\u1ed1i v\u1edbi chu\u1ed7i c\u00f3 s\u1ed1 h\u1ea1ng kh\u00f4ng \u00e2m, c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng m\u1ed9t s\u1ed1 ti\u00eau chu\u1ea9n h\u1ed9i t\u1ee5 ph\u00f9 h\u1ee3p.<\/p>\n

38. Chu\u1ed7i \u0111an d\u1ea5u<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd:<\/p>\n

D\u1ea5u xen k\u1ebd.<\/p>\n

\u0110\u1ed9 l\u1edbn s\u1ed1 h\u1ea1ng.<\/p>\n

\u0110i\u1ec1u ki\u1ec7n h\u1ed9i t\u1ee5.<\/p>\n

39. H\u1ed9i t\u1ee5 tuy\u1ec7t \u0111\u1ed1i v\u00e0 h\u1ed9i t\u1ee5 c\u00f3 \u0111i\u1ec1u ki\u1ec7n<\/h3>\n

C\u1ea7n ph\u00e2n bi\u1ec7t:<\/p>\n

H\u1ed9i t\u1ee5 tuy\u1ec7t \u0111\u1ed1i.<\/p>\n

H\u1ed9i t\u1ee5 c\u00f3 \u0111i\u1ec1u ki\u1ec7n.<\/p>\n

Chu\u1ed7i ph\u00e2n k\u1ef3.<\/p>\n

40. Chu\u1ed7i l\u0169y th\u1eeba<\/h3>\n

C\u00e1c n\u1ed9i dung:<\/p>\n

T\u00e2m c\u1ee7a chu\u1ed7i.<\/p>\n

B\u00e1n k\u00ednh h\u1ed9i t\u1ee5.<\/p>\n

Kho\u1ea3ng h\u1ed9i t\u1ee5.<\/p>\n

Ki\u1ec3m tra t\u1ea1i bi\u00ean.<\/p>\n

41. Khai tri\u1ec3n Taylor<\/h3>\n

Taylor gi\u00fap bi\u1ec3u di\u1ec5n h\u00e0m d\u01b0\u1edbi d\u1ea1ng chu\u1ed7i quanh m\u1ed9t \u0111i\u1ec3m.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd:<\/p>\n

\u0110\u1ea1o h\u00e0m c\u00e1c c\u1ea5p.<\/p>\n

\u0110i\u1ec3m khai tri\u1ec3n.<\/p>\n

H\u1ec7 s\u1ed1.<\/p>\n

42. Khai tri\u1ec3n Maclaurin<\/h3>\n

Maclaurin l\u00e0 tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t c\u1ee7a Taylor khi khai tri\u1ec3n quanh \u0111i\u1ec3m 0.<\/p>\n

43. H\u00e0m nhi\u1ec1u bi\u1ebfn<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n hi\u1ec3u:<\/p>\n

Mi\u1ec1n x\u00e1c \u0111\u1ecbnh.<\/p>\n

Gi\u00e1 tr\u1ecb h\u00e0m.<\/p>\n

\u0110\u1ed3 th\u1ecb ho\u1eb7c m\u1eb7t m\u1ee9c.<\/p>\n

S\u1ef1 ph\u1ee5 thu\u1ed9c v\u00e0o nhi\u1ec1u bi\u1ebfn.<\/p>\n

44. Gi\u1edbi h\u1ea1n h\u00e0m nhi\u1ec1u bi\u1ebfn<\/h3>\n

Khi x\u00e9t gi\u1edbi h\u1ea1n c\u1ea7n ch\u00fa \u00fd:<\/p>\n

\u0110\u01b0\u1eddng ti\u1ebfn t\u1edbi \u0111i\u1ec3m.<\/p>\n

\u0110i\u1ec1u ki\u1ec7n t\u1ed3n t\u1ea1i.<\/p>\n

T\u00ednh duy nh\u1ea5t c\u1ee7a gi\u1edbi h\u1ea1n.<\/p>\n

45. T\u00ednh li\u00ean t\u1ee5c c\u1ee7a h\u00e0m nhi\u1ec1u bi\u1ebfn<\/h3>\n

T\u01b0\u01a1ng t\u1ef1 h\u00e0m m\u1ed9t bi\u1ebfn, c\u1ea7n x\u00e9t:<\/p>\n

Gi\u00e1 tr\u1ecb h\u00e0m.<\/p>\n

Gi\u1edbi h\u1ea1n.<\/p>\n

Quan h\u1ec7 gi\u1eefa gi\u1edbi h\u1ea1n v\u00e0 gi\u00e1 tr\u1ecb t\u1ea1i \u0111i\u1ec3m.<\/p>\n

46. \u0110\u1ea1o h\u00e0m ri\u00eang<\/h3>\n

\u0110\u1ea1o h\u00e0m ri\u00eang \u0111\u01b0\u1ee3c t\u00ednh theo t\u1eebng bi\u1ebfn trong khi gi\u1eef c\u00e1c bi\u1ebfn c\u00f2n l\u1ea1i c\u1ed1 \u0111\u1ecbnh.<\/p>\n

47. \u0110\u1ea1o h\u00e0m ri\u00eang c\u1ea5p cao<\/h3>\n

C\u00f3 th\u1ec3 g\u1ed3m:<\/p>\n

\u0110\u1ea1o h\u00e0m ri\u00eang c\u1ea5p hai.<\/p>\n

\u0110\u1ea1o h\u00e0m h\u1ed7n h\u1ee3p.<\/p>\n

C\u00e1c \u0111\u1ea1o h\u00e0m ri\u00eang b\u1eadc cao h\u01a1n.<\/p>\n

48. Vi ph\u00e2n to\u00e0n ph\u1ea7n<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd:<\/p>\n

C\u00e1c \u0111\u1ea1o h\u00e0m ri\u00eang.<\/p>\n

Gia s\u1ed1 bi\u1ebfn.<\/p>\n

X\u1ea5p x\u1ec9 tuy\u1ebfn t\u00ednh.<\/p>\n

49. Gradient<\/h3>\n

Gradient l\u00e0 vect\u01a1 g\u1ed3m c\u00e1c \u0111\u1ea1o h\u00e0m ri\u00eang c\u1ee7a h\u00e0m.<\/p>\n

N\u1ed9i dung n\u00e0y c\u00f3 th\u1ec3 li\u00ean quan \u0111\u1ebfn:<\/p>\n

H\u01b0\u1edbng t\u0103ng nhanh nh\u1ea5t.<\/p>\n

\u0110\u1ea1o h\u00e0m theo h\u01b0\u1edbng.<\/p>\n

C\u1ef1c tr\u1ecb.<\/p>\n

50. \u0110\u1ea1o h\u00e0m theo h\u01b0\u1edbng<\/h3>\n

\u0110\u1ea1o h\u00e0m theo h\u01b0\u1edbng m\u00f4 t\u1ea3 t\u1ed1c \u0111\u1ed9 bi\u1ebfn thi\u00ean c\u1ee7a h\u00e0m theo m\u1ed9t h\u01b0\u1edbng x\u00e1c \u0111\u1ecbnh.<\/p>\n

51. C\u1ef1c tr\u1ecb h\u00e0m nhi\u1ec1u bi\u1ebfn<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n:<\/p>\n

T\u00ecm \u0111i\u1ec3m d\u1eebng.<\/p>\n

X\u00e9t \u0111\u1ea1o h\u00e0m ri\u00eang.<\/p>\n

Ph\u00e2n lo\u1ea1i \u0111i\u1ec3m c\u1ef1c tr\u1ecb.<\/p>\n

Ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n.<\/p>\n

52. C\u1ef1c tr\u1ecb c\u00f3 \u0111i\u1ec1u ki\u1ec7n<\/h3>\n

M\u1ed9t s\u1ed1 b\u00e0i to\u00e1n c\u1ef1c tr\u1ecb c\u00f3 r\u00e0ng bu\u1ed9c c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p nh\u00e2n t\u1eed Lagrange.<\/p>\n

53. T\u00edch ph\u00e2n k\u00e9p<\/h3>\n

T\u00edch ph\u00e2n k\u00e9p c\u00f3 th\u1ec3 d\u00f9ng \u0111\u1ec3:<\/p>\n

T\u00ednh th\u1ec3 t\u00edch.<\/p>\n

T\u00ednh di\u1ec7n t\u00edch.<\/p>\n

T\u00ednh c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng ph\u00e2n b\u1ed1 tr\u00ean mi\u1ec1n ph\u1eb3ng.<\/p>\n

54. \u0110\u1ed5i th\u1ee9 t\u1ef1 t\u00edch ph\u00e2n<\/h3>\n

Khi \u0111\u1ed5i th\u1ee9 t\u1ef1 t\u00edch ph\u00e2n c\u1ea7n:<\/p>\n

X\u00e1c \u0111\u1ecbnh mi\u1ec1n.<\/p>\n

V\u1ebd mi\u1ec1n khi c\u1ea7n.<\/p>\n

Vi\u1ebft l\u1ea1i c\u1eadn ph\u00f9 h\u1ee3p.<\/p>\n

55. \u0110\u1ed5i bi\u1ebfn trong t\u00edch ph\u00e2n k\u00e9p<\/h3>\n

M\u1ed9t s\u1ed1 ph\u00e9p \u0111\u1ed5i bi\u1ebfn c\u00f3 th\u1ec3 gi\u00fap \u0111\u01a1n gi\u1ea3n h\u00f3a mi\u1ec1n v\u00e0 bi\u1ec3u th\u1ee9c t\u00edch ph\u00e2n.<\/p>\n

56. T\u1ecda \u0111\u1ed9 c\u1ef1c<\/h3>\n

T\u1ecda \u0111\u1ed9 c\u1ef1c th\u01b0\u1eddng h\u1eefu \u00edch v\u1edbi mi\u1ec1n c\u00f3 t\u00ednh \u0111\u1ed1i x\u1ee9ng tr\u00f2n.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd:<\/p>\n

Quan h\u1ec7 gi\u1eefa t\u1ecda \u0111\u1ed9 Descartes v\u00e0 t\u1ecda \u0111\u1ed9 c\u1ef1c.<\/p>\n

Ph\u1ea7n t\u1eed di\u1ec7n t\u00edch.<\/p>\n

57. T\u00edch ph\u00e2n ba l\u1edbp<\/h3>\n

T\u00edch ph\u00e2n ba l\u1edbp c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng tr\u00ean mi\u1ec1n kh\u00f4ng gian ba chi\u1ec1u.<\/p>\n

58. Ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n<\/h3>\n

Ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n ch\u1ee9a:<\/p>\n

H\u00e0m ch\u01b0a bi\u1ebft.<\/p>\n

\u0110\u1ea1o h\u00e0m c\u1ee7a h\u00e0m.<\/p>\n

Bi\u1ebfn \u0111\u1ed9c l\u1eadp.<\/p>\n

59. Ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n c\u1ea5p m\u1ed9t<\/h3>\n

M\u1ed9t s\u1ed1 d\u1ea1ng:<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh t\u00e1ch bi\u1ebfn.<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh tuy\u1ebfn t\u00ednh.<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh thu\u1ea7n nh\u1ea5t trong nh\u1eefng tr\u01b0\u1eddng h\u1ee3p ph\u00f9 h\u1ee3p.<\/p>\n

60. Ph\u01b0\u01a1ng tr\u00ecnh t\u00e1ch bi\u1ebfn<\/h3>\n

Ph\u01b0\u01a1ng ph\u00e1p th\u01b0\u1eddng g\u1ed3m:<\/p>\n

T\u00e1ch bi\u1ebfn.<\/p>\n

T\u00edch ph\u00e2n hai v\u1ebf.<\/p>\n

X\u00e1c \u0111\u1ecbnh h\u1eb1ng s\u1ed1.<\/p>\n

61. Ph\u01b0\u01a1ng tr\u00ecnh tuy\u1ebfn t\u00ednh c\u1ea5p m\u1ed9t<\/h3>\n

D\u1ea1ng t\u1ed5ng qu\u00e1t th\u01b0\u1eddng \u0111\u01b0\u1ee3c gi\u1ea3i b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p h\u1ec7 s\u1ed1 t\u00edch ph\u00e2n.<\/p>\n

62. Ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n c\u1ea5p hai<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u00f3 th\u1ec3 g\u1eb7p:<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh tuy\u1ebfn t\u00ednh.<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh h\u1ec7 s\u1ed1 h\u1eb1ng.<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh thu\u1ea7n nh\u1ea5t.<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh kh\u00f4ng thu\u1ea7n nh\u1ea5t.<\/p>\n

63. Ma tr\u1eadn<\/h3>\n

C\u00e1c n\u1ed9i dung c\u01a1 b\u1ea3n:<\/p>\n

Ma tr\u1eadn h\u00e0ng.<\/p>\n

Ma tr\u1eadn c\u1ed9t.<\/p>\n

Ma tr\u1eadn vu\u00f4ng.<\/p>\n

Ma tr\u1eadn kh\u00f4ng.<\/p>\n

Ma tr\u1eadn \u0111\u01a1n v\u1ecb.<\/p>\n

64. Ph\u00e9p to\u00e1n ma tr\u1eadn<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n n\u1eafm:<\/p>\n

C\u1ed9ng ma tr\u1eadn.<\/p>\n

Nh\u00e2n v\u1edbi s\u1ed1.<\/p>\n

Nh\u00e2n hai ma tr\u1eadn.<\/p>\n

Ma tr\u1eadn chuy\u1ec3n v\u1ecb.<\/p>\n

65. Nh\u00e2n ma tr\u1eadn<\/h3>\n

C\u1ea7n ch\u00fa \u00fd:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n v\u1ec1 k\u00edch th\u01b0\u1edbc.<\/p>\n

Th\u1ee9 t\u1ef1 nh\u00e2n.<\/p>\n

Ph\u00e9p nh\u00e2n ma tr\u1eadn n\u00f3i chung kh\u00f4ng c\u00f3 t\u00ednh giao ho\u00e1n.<\/p>\n

66. Ma tr\u1eadn chuy\u1ec3n v\u1ecb<\/h3>\n

Transpose \u0111\u01b0\u1ee3c t\u1ea1o b\u1eb1ng c\u00e1ch \u0111\u1ed5i h\u00e0ng th\u00e0nh c\u1ed9t.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n bi\u1ebft c\u00e1c t\u00ednh ch\u1ea5t c\u01a1 b\u1ea3n c\u1ee7a ph\u00e9p chuy\u1ec3n v\u1ecb.<\/p>\n

67. \u0110\u1ecbnh th\u1ee9c<\/h3>\n

\u0110\u1ecbnh th\u1ee9c \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh cho ma tr\u1eadn vu\u00f4ng.<\/p>\n

N\u1ed9i dung c\u1ea7n ch\u00fa \u00fd:<\/p>\n

C\u00e1ch t\u00ednh.<\/p>\n

T\u00ednh ch\u1ea5t.<\/p>\n

\u00dd ngh\u0129a \u0111\u1ed1i v\u1edbi kh\u1ea3 ngh\u1ecbch.<\/p>\n

68. T\u00ednh ch\u1ea5t c\u1ee7a \u0111\u1ecbnh th\u1ee9c<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd t\u00e1c \u0111\u1ed9ng c\u1ee7a:<\/p>\n

\u0110\u1ed5i hai h\u00e0ng.<\/p>\n

Nh\u00e2n m\u1ed9t h\u00e0ng v\u1edbi h\u1eb1ng s\u1ed1.<\/p>\n

C\u1ed9ng b\u1ed9i c\u1ee7a m\u1ed9t h\u00e0ng v\u00e0o h\u00e0ng kh\u00e1c.<\/p>\n

69. Ma tr\u1eadn ngh\u1ecbch \u0111\u1ea3o<\/h3>\n

Ma tr\u1eadn ngh\u1ecbch \u0111\u1ea3o t\u1ed3n t\u1ea1i khi ma tr\u1eadn vu\u00f4ng kh\u1ea3 ngh\u1ecbch.<\/p>\n

C\u1ea7n ch\u00fa \u00fd:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n t\u1ed3n t\u1ea1i.<\/p>\n

Ph\u01b0\u01a1ng ph\u00e1p t\u00ednh.<\/p>\n

Quan h\u1ec7 v\u1edbi \u0111\u1ecbnh th\u1ee9c.<\/p>\n

70. H\u1ea1ng c\u1ee7a ma tr\u1eadn<\/h3>\n

Rank ph\u1ea3n \u00e1nh s\u1ed1 l\u01b0\u1ee3ng h\u00e0ng ho\u1eb7c c\u1ed9t \u0111\u1ed9c l\u1eadp tuy\u1ebfn t\u00ednh.<\/p>\n

C\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh th\u00f4ng qua c\u00e1c ph\u00e9p bi\u1ebfn \u0111\u1ed5i s\u01a1 c\u1ea5p.<\/p>\n

71. Bi\u1ebfn \u0111\u1ed5i s\u01a1 c\u1ea5p<\/h3>\n

C\u00e1c ph\u00e9p bi\u1ebfn \u0111\u1ed5i h\u00e0ng s\u01a1 c\u1ea5p:<\/p>\n

\u0110\u1ed5i v\u1ecb tr\u00ed hai h\u00e0ng.<\/p>\n

Nh\u00e2n m\u1ed9t h\u00e0ng v\u1edbi s\u1ed1 kh\u00e1c 0.<\/p>\n

C\u1ed9ng b\u1ed9i c\u1ee7a m\u1ed9t h\u00e0ng v\u00e0o h\u00e0ng kh\u00e1c.<\/p>\n

72. H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh tuy\u1ebfn t\u00ednh<\/h3>\n

H\u1ec7 c\u00f3 th\u1ec3:<\/p>\n

C\u00f3 nghi\u1ec7m duy nh\u1ea5t.<\/p>\n

C\u00f3 v\u00f4 s\u1ed1 nghi\u1ec7m.<\/p>\n

V\u00f4 nghi\u1ec7m.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n d\u1ef1a v\u00e0o c\u1ea5u tr\u00fac v\u00e0 h\u1ea1ng c\u1ee7a h\u1ec7.<\/p>\n

73. Ph\u01b0\u01a1ng ph\u00e1p Gauss<\/h3>\n

C\u00e1c b\u01b0\u1edbc:<\/p>\n

L\u1eadp ma tr\u1eadn m\u1edf r\u1ed9ng.<\/p>\n

Bi\u1ebfn \u0111\u1ed5i s\u01a1 c\u1ea5p.<\/p>\n

\u0110\u01b0a v\u1ec1 d\u1ea1ng b\u1eadc thang.<\/p>\n

Suy ra nghi\u1ec7m.<\/p>\n

74. Quy t\u1eafc Cramer<\/h3>\n

Cramer c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng v\u1edbi h\u1ec7 vu\u00f4ng trong nh\u1eefng \u0111i\u1ec1u ki\u1ec7n ph\u00f9 h\u1ee3p v\u1ec1 \u0111\u1ecbnh th\u1ee9c.<\/p>\n

75. Kh\u00f4ng gian vect\u01a1<\/h3>\n

C\u00e1c kh\u00e1i ni\u1ec7m:<\/p>\n

Vect\u01a1.<\/p>\n

Ph\u00e9p c\u1ed9ng.<\/p>\n

Nh\u00e2n v\u1edbi v\u00f4 h\u01b0\u1edbng.<\/p>\n

Kh\u00f4ng gian con.<\/p>\n

76. T\u1ed5 h\u1ee3p tuy\u1ebfn t\u00ednh<\/h3>\n

M\u1ed9t vect\u01a1 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng t\u1ed5 h\u1ee3p tuy\u1ebfn t\u00ednh c\u1ee7a c\u00e1c vect\u01a1 kh\u00e1c.<\/p>\n

77. \u0110\u1ed9c l\u1eadp tuy\u1ebfn t\u00ednh<\/h3>\n

M\u1ed9t h\u1ec7 vect\u01a1 \u0111\u1ed9c l\u1eadp tuy\u1ebfn t\u00ednh khi ch\u1ec9 c\u00f3 t\u1ed5 h\u1ee3p tuy\u1ebfn t\u00ednh t\u1ea7m th\u01b0\u1eddng b\u1eb1ng vect\u01a1 kh\u00f4ng.<\/p>\n

78. Ph\u1ee5 thu\u1ed9c tuy\u1ebfn t\u00ednh<\/h3>\n

N\u1ebfu t\u1ed3n t\u1ea1i t\u1ed5 h\u1ee3p tuy\u1ebfn t\u00ednh kh\u00f4ng t\u1ea7m th\u01b0\u1eddng b\u1eb1ng vect\u01a1 kh\u00f4ng th\u00ec h\u1ec7 vect\u01a1 ph\u1ee5 thu\u1ed9c tuy\u1ebfn t\u00ednh.<\/p>\n

79. C\u01a1 s\u1edf<\/h3>\n

C\u01a1 s\u1edf l\u00e0 m\u1ed9t h\u1ec7 vect\u01a1:<\/p>\n

\u0110\u1ed9c l\u1eadp tuy\u1ebfn t\u00ednh.<\/p>\n

Sinh ra to\u00e0n b\u1ed9 kh\u00f4ng gian.<\/p>\n

80. S\u1ed1 chi\u1ec1u<\/h3>\n

Dimension l\u00e0 s\u1ed1 vect\u01a1 trong m\u1ed9t c\u01a1 s\u1edf c\u1ee7a kh\u00f4ng gian h\u1eefu h\u1ea1n chi\u1ec1u.<\/p>\n

81. T\u1ecda \u0111\u1ed9 c\u1ee7a vect\u01a1<\/h3>\n

T\u1ecda \u0111\u1ed9 ph\u1ee5 thu\u1ed9c v\u00e0o c\u01a1 s\u1edf \u0111\u01b0\u1ee3c ch\u1ecdn.<\/p>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n bi\u1ebft c\u00e1ch bi\u1ec3u di\u1ec5n vect\u01a1 theo c\u01a1 s\u1edf.<\/p>\n

82. Kh\u00f4ng gian con<\/h3>\n

M\u1ed9t t\u1eadp con l\u00e0 kh\u00f4ng gian con khi th\u1ecfa m\u00e3n c\u00e1c \u0111i\u1ec1u ki\u1ec7n \u0111\u00f3ng ph\u00f9 h\u1ee3p \u0111\u1ed1i v\u1edbi ph\u00e9p c\u1ed9ng v\u00e0 nh\u00e2n v\u00f4 h\u01b0\u1edbng.<\/p>\n

83. \u00c1nh x\u1ea1 tuy\u1ebfn t\u00ednh<\/h3>\n

\u00c1nh x\u1ea1 tuy\u1ebfn t\u00ednh b\u1ea3o to\u00e0n:<\/p>\n

Ph\u00e9p c\u1ed9ng vect\u01a1.<\/p>\n

Ph\u00e9p nh\u00e2n v\u1edbi v\u00f4 h\u01b0\u1edbng.<\/p>\n

84. Ma tr\u1eadn c\u1ee7a \u00e1nh x\u1ea1 tuy\u1ebfn t\u00ednh<\/h3>\n

Khi ch\u1ecdn c\u01a1 s\u1edf, \u00e1nh x\u1ea1 tuy\u1ebfn t\u00ednh c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi m\u1ed9t ma tr\u1eadn.<\/p>\n

85. Nh\u00e2n v\u00e0 \u1ea3nh c\u1ee7a \u00e1nh x\u1ea1 tuy\u1ebfn t\u00ednh<\/h3>\n

C\u00e1c kh\u00e1i ni\u1ec7m:<\/p>\n

Kernel.<\/p>\n

Image.<\/p>\n

Rank.<\/p>\n

Nullity.<\/p>\n

86. Gi\u00e1 tr\u1ecb ri\u00eang<\/h3>\n

Gi\u00e1 tr\u1ecb ri\u00eang \u03bb th\u1ecfa m\u00e3n quan h\u1ec7 v\u1edbi m\u1ed9t vect\u01a1 ri\u00eang kh\u00e1c vect\u01a1 kh\u00f4ng.<\/p>\n

87. Vect\u01a1 ri\u00eang<\/h3>\n

Vect\u01a1 ri\u00eang l\u00e0 vect\u01a1 kh\u00e1c 0 ch\u1ec9 thay \u0111\u1ed5i theo h\u1ec7 s\u1ed1 t\u1ec9 l\u1ec7 d\u01b0\u1edbi t\u00e1c \u0111\u1ed9ng c\u1ee7a ph\u00e9p bi\u1ebfn \u0111\u1ed5i tuy\u1ebfn t\u00ednh.<\/p>\n

88. Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1eb7c tr\u01b0ng<\/h3>\n

Gi\u00e1 tr\u1ecb ri\u00eang th\u01b0\u1eddng \u0111\u01b0\u1ee3c t\u00ecm th\u00f4ng qua ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1eb7c tr\u01b0ng c\u1ee7a ma tr\u1eadn.<\/p>\n

89. Ch\u00e9o h\u00f3a ma tr\u1eadn<\/h3>\n

Ch\u00e9o h\u00f3a gi\u00fap \u0111\u01b0a ma tr\u1eadn v\u1ec1 d\u1ea1ng \u0111\u01a1n gi\u1ea3n h\u01a1n khi c\u00f3 \u0111\u1ee7 vect\u01a1 ri\u00eang \u0111\u1ed9c l\u1eadp tuy\u1ebfn t\u00ednh.<\/p>\n

90. D\u1ea1ng to\u00e0n ph\u01b0\u01a1ng<\/h3>\n

M\u1ed9t s\u1ed1 n\u1ed9i dung c\u00f3 th\u1ec3 li\u00ean quan \u0111\u1ebfn:<\/p>\n

Ma tr\u1eadn \u0111\u1ed1i x\u1ee9ng.<\/p>\n

Bi\u1ec3u th\u1ee9c to\u00e0n ph\u01b0\u01a1ng.<\/p>\n

X\u00e1c \u0111\u1ecbnh d\u1ea5u.<\/p>\n

91. S\u1ed1 ph\u1ee9c<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n ch\u00fa \u00fd:<\/p>\n

Ph\u1ea7n th\u1ef1c.<\/p>\n

Ph\u1ea7n \u1ea3o.<\/p>\n

M\u00f4\u0111un.<\/p>\n

S\u1ed1 ph\u1ee9c li\u00ean h\u1ee3p.<\/p>\n

92. C\u00e1c ph\u00e9p to\u00e1n v\u1edbi s\u1ed1 ph\u1ee9c<\/h3>\n

Bao g\u1ed3m:<\/p>\n

C\u1ed9ng.<\/p>\n

Tr\u1eeb.<\/p>\n

Nh\u00e2n.<\/p>\n

Chia.<\/p>\n

L\u0169y th\u1eeba trong nh\u1eefng tr\u01b0\u1eddng h\u1ee3p ph\u00f9 h\u1ee3p.<\/p>\n

93. D\u1ea1ng l\u01b0\u1ee3ng gi\u00e1c c\u1ee7a s\u1ed1 ph\u1ee9c<\/h3>\n

S\u1ed1 ph\u1ee9c c\u00f3 th\u1ec3 bi\u1ec3u di\u1ec5n th\u00f4ng qua:<\/p>\n

M\u00f4\u0111un.<\/p>\n

Argument.<\/p>\n

H\u00e0m cos.<\/p>\n

H\u00e0m sin.<\/p>\n

94. C\u00f4ng th\u1ee9c De Moivre<\/h3>\n

C\u00f4ng th\u1ee9c h\u1ed7 tr\u1ee3 t\u00ednh:<\/p>\n

L\u0169y th\u1eeba s\u1ed1 ph\u1ee9c.<\/p>\n

M\u1ed9t s\u1ed1 b\u00e0i to\u00e1n khai c\u0103n s\u1ed1 ph\u1ee9c.<\/p>\n

95. B\u1ea5t \u0111\u1eb3ng th\u1ee9c<\/h3>\n

Khi gi\u1ea3i b\u00e0i c\u1ea7n ch\u00fa \u00fd:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n.<\/p>\n

Ph\u00e9p bi\u1ebfn \u0111\u1ed5i t\u01b0\u01a1ng \u0111\u01b0\u01a1ng.<\/p>\n

D\u1ea5u c\u1ee7a bi\u1ec3u th\u1ee9c.<\/p>\n

C\u00e1c b\u1ea5t \u0111\u1eb3ng th\u1ee9c c\u01a1 b\u1ea3n.<\/p>\n

96. Ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n:<\/p>\n

X\u00e1c \u0111\u1ecbnh mi\u1ec1n x\u00e1c \u0111\u1ecbnh.<\/p>\n

Bi\u1ebfn \u0111\u1ed5i \u0111\u00fang.<\/p>\n

Ki\u1ec3m tra nghi\u1ec7m.<\/p>\n

Lo\u1ea1i nghi\u1ec7m ngo\u1ea1i lai.<\/p>\n

97. Ph\u01b0\u01a1ng tr\u00ecnh m\u0169 v\u00e0 logarit<\/h3>\n

C\u1ea7n ch\u00fa \u00fd:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n c\u1ee7a logarit.<\/p>\n

C\u01a1 s\u1ed1.<\/p>\n

Bi\u1ebfn \u0111\u1ed5i c\u00f9ng c\u01a1 s\u1ed1.<\/p>\n

C\u00e1c t\u00ednh ch\u1ea5t l\u0169y th\u1eeba.<\/p>\n

98. Ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c<\/h3>\n

M\u1ed9t s\u1ed1 n\u1ed9i dung:<\/p>\n

C\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n

Nghi\u1ec7m t\u1ed5ng qu\u00e1t.<\/p>\n

Chu k\u1ef3.<\/p>\n

\u0110i\u1ec1u ki\u1ec7n nghi\u1ec7m.<\/p>\n

99. B\u00e0i to\u00e1n t\u1ed1i \u01b0u m\u1ed9t bi\u1ebfn<\/h3>\n

Quy tr\u00ecnh c\u00f3 th\u1ec3 g\u1ed3m:<\/p>\n

L\u1eadp h\u00e0m m\u1ee5c ti\u00eau.<\/p>\n

X\u00e1c \u0111\u1ecbnh mi\u1ec1n.<\/p>\n

T\u00ednh \u0111\u1ea1o h\u00e0m.<\/p>\n

T\u00ecm \u0111i\u1ec3m t\u1edbi h\u1ea1n.<\/p>\n

So s\u00e1nh gi\u00e1 tr\u1ecb.<\/p>\n

100. B\u00e0i to\u00e1n t\u1ed1i \u01b0u nhi\u1ec1u bi\u1ebfn<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n:<\/p>\n

X\u00e2y d\u1ef1ng h\u00e0m m\u1ee5c ti\u00eau.<\/p>\n

X\u00e1c \u0111\u1ecbnh \u0111i\u1ec1u ki\u1ec7n.<\/p>\n

T\u00ecm \u0111i\u1ec3m d\u1eebng.<\/p>\n

Ki\u1ec3m tra c\u1ef1c tr\u1ecb.<\/p>\n

101. \u1ee8ng d\u1ee5ng to\u00e1n cao c\u1ea5p trong kinh t\u1ebf<\/h3>\n

C\u00e1c c\u00f4ng c\u1ee5 to\u00e1n h\u1ecdc c\u00f3 th\u1ec3 h\u1ed7 tr\u1ee3:<\/p>\n

M\u00f4 h\u00ecnh h\u00f3a.<\/p>\n

T\u1ed1i \u01b0u h\u00f3a.<\/p>\n

Ph\u00e2n t\u00edch c\u1eadn bi\u00ean.<\/p>\n

Ph\u00e2n t\u00edch bi\u1ebfn thi\u00ean.<\/p>\n

102. \u0110\u1ea1o h\u00e0m v\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng c\u1eadn bi\u00ean<\/h3>\n

Trong c\u00e1c b\u00e0i to\u00e1n \u1ee9ng d\u1ee5ng, \u0111\u1ea1o h\u00e0m c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 nghi\u00ean c\u1ee9u s\u1ef1 thay \u0111\u1ed5i c\u1ee7a m\u1ed9t \u0111\u1ea1i l\u01b0\u1ee3ng khi bi\u1ebfn \u0111\u1ea7u v\u00e0o thay \u0111\u1ed5i.<\/p>\n

103. T\u1ed1i \u01b0u h\u00f3a l\u1ee3i nhu\u1eadn v\u00e0 chi ph\u00ed<\/h3>\n

C\u00e1c b\u00e0i to\u00e1n th\u01b0\u1eddng y\u00eau c\u1ea7u:<\/p>\n

X\u00e2y d\u1ef1ng h\u00e0m.<\/p>\n

L\u1ea5y \u0111\u1ea1o h\u00e0m.<\/p>\n

T\u00ecm \u0111i\u1ec3m t\u1ed1i \u01b0u.<\/p>\n

Ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n.<\/p>\n

104. T\u00edch ph\u00e2n v\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng t\u00edch l\u0169y<\/h3>\n

T\u00edch ph\u00e2n c\u00f3 th\u1ec3 d\u00f9ng \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh \u0111\u1ea1i l\u01b0\u1ee3ng t\u1ed5ng khi bi\u1ebft t\u1ed1c \u0111\u1ed9 bi\u1ebfn thi\u00ean.<\/p>\n

105. Ma tr\u1eadn trong m\u00f4 h\u00ecnh to\u00e1n h\u1ecdc<\/h3>\n

Ma tr\u1eadn h\u1ed7 tr\u1ee3:<\/p>\n

Bi\u1ec3u di\u1ec5n h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh.<\/p>\n

X\u1eed l\u00fd nhi\u1ec1u bi\u1ebfn.<\/p>\n

M\u00f4 h\u00ecnh h\u00f3a quan h\u1ec7 tuy\u1ebfn t\u00ednh.<\/p>\n

106. Ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh<\/h3>\n

Tr\u01b0\u1edbc khi t\u00ednh to\u00e1n c\u1ea7n ki\u1ec3m tra:<\/p>\n

M\u1eabu s\u1ed1.<\/p>\n

C\u0103n th\u1ee9c.<\/p>\n

Logarit.<\/p>\n

H\u00e0m l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n

Mi\u1ec1n c\u1ee7a b\u00e0i to\u00e1n.<\/p>\n

107. Bi\u1ebfn \u0111\u1ed5i \u0111\u1ea1i s\u1ed1<\/h3>\n

K\u1ef9 n\u0103ng c\u1ea7n thi\u1ebft:<\/p>\n

Ph\u00e2n t\u00edch nh\u00e2n t\u1eed.<\/p>\n

Quy \u0111\u1ed3ng.<\/p>\n

R\u00fat g\u1ecdn.<\/p>\n

Nh\u00e2n li\u00ean h\u1ee3p.<\/p>\n

Bi\u1ebfn \u0111\u1ed5i l\u0169y th\u1eeba.<\/p>\n

108. S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n:<\/p>\n

Nh\u1edb \u0111\u00fang c\u00f4ng th\u1ee9c.<\/p>\n

X\u00e1c \u0111\u1ecbnh \u0111i\u1ec1u ki\u1ec7n.<\/p>\n

Thay \u0111\u00fang d\u1eef li\u1ec7u.<\/p>\n

Ki\u1ec3m tra k\u1ebft qu\u1ea3.<\/p>\n

109. Nh\u1eadn di\u1ec7n d\u1ea1ng b\u00e0i<\/h3>\n

Tr\u01b0\u1edbc khi gi\u1ea3i c\u1ea7n x\u00e1c \u0111\u1ecbnh b\u00e0i thu\u1ed9c nh\u00f3m:<\/p>\n

Gi\u1edbi h\u1ea1n.<\/p>\n

\u0110\u1ea1o h\u00e0m.<\/p>\n

T\u00edch ph\u00e2n.<\/p>\n

Chu\u1ed7i.<\/p>\n

H\u00e0m nhi\u1ec1u bi\u1ebfn.<\/p>\n

Ma tr\u1eadn.<\/p>\n

H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh.<\/p>\n

110. Lo\u1ea1i tr\u1eeb \u0111\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m<\/h3>\n

C\u00f3 th\u1ec3 s\u1eed d\u1ee5ng:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n x\u00e1c \u0111\u1ecbnh.<\/p>\n

D\u1ea5u.<\/p>\n

Gi\u00e1 tr\u1ecb \u0111\u1eb7c bi\u1ec7t.<\/p>\n

Ki\u1ec3m tra nhanh b\u1eb1ng th\u1ebf s\u1ed1.<\/p>\n

So s\u00e1nh v\u1edbi c\u00f4ng th\u1ee9c.<\/p>\n

111. Ki\u1ec3m tra k\u1ebft qu\u1ea3<\/h3>\n

Sau khi ch\u1ecdn \u0111\u00e1p \u00e1n n\u00ean ki\u1ec3m tra:<\/p>\n

\u0110i\u1ec1u ki\u1ec7n.<\/p>\n

D\u1ea5u.<\/p>\n

\u0110\u01a1n v\u1ecb n\u1ebfu c\u00f3.<\/p>\n

Mi\u1ec1n gi\u00e1 tr\u1ecb.<\/p>\n

T\u00ednh h\u1ee3p l\u00fd c\u1ee7a k\u1ebft qu\u1ea3.<\/p>\n

112. Sai l\u1ea7m th\u01b0\u1eddng g\u1eb7p khi t\u00ednh gi\u1edbi h\u1ea1n<\/h3>\n

M\u1ed9t s\u1ed1 l\u1ed7i:<\/p>\n

Thay tr\u1ef1c ti\u1ebfp v\u00e0o d\u1ea1ng v\u00f4 \u0111\u1ecbnh.<\/p>\n

Bi\u1ebfn \u0111\u1ed5i sai.<\/p>\n

\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c kh\u00f4ng \u0111\u1ee7 \u0111i\u1ec1u ki\u1ec7n.<\/p>\n

Nh\u1ea7m d\u1ea5u v\u00f4 c\u1ef1c.<\/p>\n

113. Sai l\u1ea7m th\u01b0\u1eddng g\u1eb7p khi t\u00ednh \u0111\u1ea1o h\u00e0m<\/h3>\n

C\u00e1c l\u1ed7i:<\/p>\n

Qu\u00ean quy t\u1eafc d\u00e2y chuy\u1ec1n.<\/p>\n

Nh\u1ea7m \u0111\u1ea1o h\u00e0m t\u00edch v\u00e0 th\u01b0\u01a1ng.<\/p>\n

Sai d\u1ea5u.<\/p>\n

Nh\u1ea7m c\u00f4ng th\u1ee9c l\u01b0\u1ee3ng gi\u00e1c.<\/p>\n

114. Sai l\u1ea7m th\u01b0\u1eddng g\u1eb7p khi t\u00ednh t\u00edch ph\u00e2n<\/h3>\n

C\u00e1c l\u1ed7i:<\/p>\n

Qu\u00ean h\u1eb1ng s\u1ed1 nguy\u00ean h\u00e0m.<\/p>\n

\u0110\u1ed5i bi\u1ebfn kh\u00f4ng \u0111\u1ea7y \u0111\u1ee7.<\/p>\n

Sai d\u1ea5u.<\/p>\n

Ch\u1ecdn sai ph\u01b0\u01a1ng ph\u00e1p.<\/p>\n

Kh\u00f4ng \u0111\u1ed5i c\u1eadn khi c\u1ea7n.<\/p>\n

115. Sai l\u1ea7m khi gi\u1ea3i h\u1ec7 tuy\u1ebfn t\u00ednh<\/h3>\n

C\u00e1c l\u1ed7i:<\/p>\n

Bi\u1ebfn \u0111\u1ed5i h\u00e0ng sai.<\/p>\n

Nh\u1ea7m d\u1ea5u.<\/p>\n

Kh\u00f4ng x\u00e9t tr\u01b0\u1eddng h\u1ee3p \u0111\u1eb7c bi\u1ec7t.<\/p>\n

K\u1ebft lu\u1eadn sai s\u1ed1 nghi\u1ec7m.<\/p>\n

116. Sai l\u1ea7m khi l\u00e0m b\u00e0i ma tr\u1eadn<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc c\u1ea7n tr\u00e1nh:<\/p>\n

Nh\u00e2n sai th\u1ee9 t\u1ef1.<\/p>\n

Nh\u1ea7m k\u00edch th\u01b0\u1edbc.<\/p>\n

T\u00ednh \u0111\u1ecbnh th\u1ee9c sai.<\/p>\n

Gi\u1ea3 \u0111\u1ecbnh ph\u00e9p nh\u00e2n giao ho\u00e1n.<\/p>\n

117. B\u1ea3ng c\u00f4ng th\u1ee9c gi\u1edbi h\u1ea1n<\/h3>\n

Khi \u00f4n t\u1eadp n\u00ean h\u1ec7 th\u1ed1ng:<\/p>\n

C\u00e1c gi\u1edbi h\u1ea1n c\u01a1 b\u1ea3n.<\/p>\n

C\u00e1c d\u1ea1ng \u0111\u1eb7c bi\u1ec7t.<\/p>\n

C\u00e1c ph\u00e9p bi\u1ebfn \u0111\u1ed5i th\u00f4ng d\u1ee5ng.<\/p>\n

118. B\u1ea3ng c\u00f4ng th\u1ee9c \u0111\u1ea1o h\u00e0m<\/h3>\n

N\u00ean t\u1ed5ng h\u1ee3p:<\/p>\n

H\u00e0m l\u0169y th\u1eeba.<\/p>\n

H\u00e0m m\u0169.<\/p>\n

Logarit.<\/p>\n

L\u01b0\u1ee3ng gi\u00e1c.<\/p>\n

H\u00e0m h\u1ee3p.<\/p>\n

119. B\u1ea3ng c\u00f4ng th\u1ee9c nguy\u00ean h\u00e0m<\/h3>\n

N\u00ean ghi nh\u1edb:<\/p>\n

Nguy\u00ean h\u00e0m c\u01a1 b\u1ea3n.<\/p>\n

C\u00e1c d\u1ea1ng th\u01b0\u1eddng g\u1eb7p.<\/p>\n

Ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ed5i bi\u1ebfn.<\/p>\n

Ph\u01b0\u01a1ng ph\u00e1p t\u1eebng ph\u1ea7n.<\/p>\n

120. B\u1ea3ng c\u00f4ng th\u1ee9c \u0111\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh<\/h3>\n

C\u00f3 th\u1ec3 h\u1ec7 th\u1ed1ng:<\/p>\n

Ma tr\u1eadn.<\/p>\n

\u0110\u1ecbnh th\u1ee9c.<\/p>\n

Ma tr\u1eadn ngh\u1ecbch \u0111\u1ea3o.<\/p>\n

H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh.<\/p>\n

Gi\u00e1 tr\u1ecb ri\u00eang.<\/p>\n

121. Ph\u01b0\u01a1ng ph\u00e1p l\u00e0m c\u00e2u h\u1ecfi To\u00e1n cao c\u1ea5p A1<\/h3>\n

Khi l\u00e0m b\u00e0i:<\/p>\n

X\u00e1c \u0111\u1ecbnh d\u1ea1ng to\u00e1n.<\/p>\n

Vi\u1ebft c\u00f4ng th\u1ee9c c\u1ea7n d\u00f9ng.<\/p>\n

Ki\u1ec3m tra \u0111i\u1ec1u ki\u1ec7n.<\/p>\n

Bi\u1ebfn \u0111\u1ed5i t\u1eebng b\u01b0\u1edbc.<\/p>\n

Lo\u1ea1i tr\u1eeb \u0111\u00e1p \u00e1n sai.<\/p>\n

Ki\u1ec3m tra l\u1ea1i k\u1ebft qu\u1ea3.<\/p>\n

122. Ph\u01b0\u01a1ng ph\u00e1p l\u00e0m c\u00e2u h\u1ecfi To\u00e1n cao c\u1ea5p A2<\/h3>\n

Sinh vi\u00ean n\u00ean:<\/p>\n

X\u00e1c \u0111\u1ecbnh n\u1ed9i dung \u0111\u1ea1i s\u1ed1 ho\u1eb7c gi\u1ea3i t\u00edch li\u00ean quan.<\/p>\n

Ki\u1ec3m tra gi\u1ea3 thi\u1ebft.<\/p>\n

Ch\u1ecdn ph\u01b0\u01a1ng ph\u00e1p ph\u00f9 h\u1ee3p.<\/p>\n

H\u1ea1n ch\u1ebf t\u00ednh to\u00e1n kh\u00f4ng c\u1ea7n thi\u1ebft.<\/p>\n

Ki\u1ec3m tra \u0111\u00e1p \u00e1n b\u1eb1ng t\u00ednh ch\u1ea5t.<\/p>\n

123. Ph\u01b0\u01a1ng ph\u00e1p \u00f4n t\u1eadp theo chuy\u00ean \u0111\u1ec1<\/h3>\n

C\u00f3 th\u1ec3 chia th\u00e0nh:<\/p>\n

H\u00e0m s\u1ed1 v\u00e0 gi\u1edbi h\u1ea1n.<\/p>\n

\u0110\u1ea1o h\u00e0m.<\/p>\n

T\u00edch ph\u00e2n.<\/p>\n

Chu\u1ed7i.<\/p>\n

H\u00e0m nhi\u1ec1u bi\u1ebfn.<\/p>\n

Ph\u01b0\u01a1ng tr\u00ecnh vi ph\u00e2n.<\/p>\n

Ma tr\u1eadn.<\/p>\n

\u0110\u1ea1i s\u1ed1 tuy\u1ebfn t\u00ednh.<\/p>\n

124. Ph\u01b0\u01a1ng ph\u00e1p ghi nh\u1edb c\u00f4ng th\u1ee9c<\/h3>\n

Ng\u01b0\u1eddi h\u1ecdc n\u00ean:<\/p>\n

Nh\u00f3m c\u00f4ng th\u1ee9c c\u00f9ng lo\u1ea1i.<\/p>\n

Ghi \u0111i\u1ec1u ki\u1ec7n \u00e1p d\u1ee5ng.<\/p>\n

L\u00e0m v\u00ed d\u1ee5 sau m\u1ed7i c\u00f4ng th\u1ee9c.<\/p>\n

\u00d4n l\u1ea1i \u0111\u1ecbnh k\u1ef3.<\/p>\n

Tr\u00e1nh h\u1ecdc c\u00f4ng th\u1ee9c t\u00e1ch r\u1eddi b\u00e0i t\u1eadp.<\/p>\n

125. Ph\u01b0\u01a1ng ph\u00e1p \u00f4n t\u1eadp To\u00e1n cao c\u1ea5p A1 v\u00e0 A2<\/h3>\n

\u0110\u1ec3 \u00f4n t\u1eadp hi\u1ec7u qu\u1ea3:<\/p>\n

Chia ki\u1ebfn th\u1ee9c theo t\u1eebng chuy\u00ean \u0111\u1ec1.<\/p>\n

T\u1ef1 l\u00e0m c\u00e2u h\u1ecfi tr\u01b0\u1edbc khi xem \u0111\u00e1p \u00e1n.<\/p>\n

\u0110\u00e1nh d\u1ea5u nh\u1eefng c\u00e2u l\u00e0m sai.<\/p>\n

Ghi l\u1ea1i c\u00f4ng th\u1ee9c th\u01b0\u1eddng qu\u00ean.<\/p>\n

Ph\u00e2n lo\u1ea1i nh\u1eefng d\u1ea1ng b\u00e0i d\u1ec5 nh\u1ea7m.<\/p>\n

L\u00e0m l\u1ea1i c\u00e1c c\u00e2u sai sau m\u1ed9t kho\u1ea3ng th\u1eddi gian.<\/p>\n

K\u1ebft h\u1ee3p luy\u1ec7n tr\u1eafc nghi\u1ec7m v\u1edbi t\u1ef1 gi\u1ea3i t\u1eebng b\u01b0\u1edbc.<\/p>\n

K\u1ebft h\u1ee3p t\u00e0i li\u1ec7u v\u1edbi gi\u00e1o tr\u00ecnh, b\u00e0i gi\u1ea3ng v\u00e0 \u0111\u1ec1 c\u01b0\u01a1ng h\u1ecdc ph\u1ea7n.<\/p>\n

T\u00e0i li\u1ec7u \u0111\u00e1p \u00e1n tr\u1eafc nghi\u1ec7m n\u00ean \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng nh\u01b0 ngu\u1ed3n h\u1ed7 tr\u1ee3 luy\u1ec7n t\u1eadp, ki\u1ec3m tra ki\u1ebfn th\u1ee9c v\u00e0 h\u1ed7 tr\u1ee3 \u00f4n t\u1eadp, \u00f4n thi hi\u1ec7u qu\u1ea3.<\/p>"},"_links":{"self":[{"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/product\/8800","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/types\/product"}],"replies":[{"embeddable":true,"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/comments?post=8800"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/media\/8482"}],"wp:attachment":[{"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/media?parent=8800"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/product_brand?post=8800"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/product_cat?post=8800"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/docx247.com\/en\/wp-json\/wp\/v2\/product_tag?post=8800"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}