{"id":2412,"date":"2025-08-08T16:12:16","date_gmt":"2025-08-08T09:12:16","guid":{"rendered":"https:\/\/navi.edu.vn\/blog\/?p=2412"},"modified":"2025-08-08T16:12:16","modified_gmt":"2025-08-08T09:12:16","slug":"nhung-kien-thuc-trong-tam-can-luu-y-truoc-khi-hoc-toan-lop-7","status":"publish","type":"post","link":"https:\/\/navi.edu.vn\/blog\/nhung-kien-thuc-trong-tam-can-luu-y-truoc-khi-hoc-toan-lop-7\/","title":{"rendered":"Nh\u1eefng ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m c\u1ea7n l\u01b0u \u00fd tr\u01b0\u1edbc khi h\u1ecdc To\u00e1n l\u1edbp 7"},"content":{"rendered":"

N\u1ebfu nh\u01b0 To\u00e1n l\u1edbp 6 v\u1eabn c\u00f2n nhi\u1ec1u ki\u1ebfn th\u1ee9c quen thu\u1ed9c n\u1ed1i ti\u1ebfp t\u1eeb b\u1eadc ti\u1ec3u h\u1ecdc, th\u00ec b\u01b0\u1edbc sang To\u00e1n l\u1edbp 7, ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n m\u1edf ra m\u1ed9t \u201cth\u1ebf gi\u1edbi\u201d m\u1edbi v\u1edbi nhi\u1ec1u kh\u00e1i ni\u1ec7m, d\u1ea1ng b\u00e0i v\u00e0 k\u1ef9 n\u0103ng t\u01b0 duy ho\u00e0n to\u00e0n kh\u00e1c. N\u1ebfu kh\u00f4ng t\u1eadp trung ngay t\u1eeb \u0111\u1ea7u, h\u1ecdc sinh r\u1ea5t d\u1ec5 m\u1ea5t \u0111\u1ecbnh h\u01b0\u1edbng v\u00e0 nhanh n\u1ea3n khi ph\u1ea3i ti\u1ebfp x\u00fac v\u1edbi l\u01b0\u1ee3ng ki\u1ebfn th\u1ee9c m\u1edbi d\u00e0y \u0111\u1eb7c. V\u00ec v\u1eady, vi\u1ec7c n\u1eafm r\u00f5 c\u00e1c tr\u1ecdng t\u00e2m ngay t\u1eeb giai \u0111o\u1ea1n chu\u1ea9n b\u1ecb l\u00e0 y\u1ebfu t\u1ed1 then ch\u1ed1t gi\u00fap h\u1ecdc t\u1ed1t To\u00e1n l\u1edbp 7<\/a>.<\/strong><\/p>\n

1. \u0110\u1ea1i s\u1ed1 – Nh\u1eefng ki\u1ebfn th\u1ee9c c\u1ea7n \u01b0u ti\u00ean<\/strong><\/h2>\n

S\u1ed1 h\u1eefu t\u1ec9 v\u00e0 c\u00e1c d\u1ea1ng li\u00ean quan<\/strong>: H\u1ecdc sinh c\u1ea7n n\u1eafm ch\u1eafc l\u00fd thuy\u1ebft v\u00e0 c\u00e1ch \u00e1p d\u1ee5ng c\u00e1c kh\u00e1i ni\u1ec7m nh\u01b0 Gi\u00e1 tr\u1ecb tuy\u1ec7t \u0111\u1ed1i, t\u1ec9 l\u1ec7 th\u1ee9c, t\u00ednh ch\u1ea5t d\u00e3y t\u1ec9 s\u1ed1 b\u1eb1ng nhau<\/em>. \u0110\u1eb7c bi\u1ec7t, ph\u1ea7n t\u1ec9 l\u1ec7 thu\u1eadn – t\u1ec9 l\u1ec7 ngh\u1ecbch l\u00e0 n\u1ec1n t\u1ea3ng quan tr\u1ecdng cho k\u1ef9 n\u0103ng gi\u1ea3i to\u00e1n c\u00f3 l\u1eddi v\u0103n.<\/p>\n

L\u0169y th\u1eeba s\u1ed1 h\u1eefu t\u1ec9 v\u00e0 c\u0103n b\u1eadc hai<\/strong>: D\u00f9 kh\u00f4ng qu\u00e1 kh\u00f3 v\u1ec1 l\u00fd thuy\u1ebft, nh\u01b0ng \u0111\u00e2y l\u1ea1i l\u00e0 ph\u1ea7n h\u1ecdc sinh d\u1ec5 nh\u1ea7m l\u1eabn khi t\u00ednh to\u00e1n, c\u1ea7n luy\u1ec7n t\u1eadp nhi\u1ec1u d\u1ea1ng b\u00e0i \u0111\u1ec3 tr\u00e1nh sai s\u00f3t.<\/p>\n

\u0110a th\u1ee9c<\/strong> (h\u1ecdc \u1edf h\u1ecdc k\u1ef3 2): Tr\u1ecdng t\u00e2m l\u00e0 r\u00e8n t\u00ednh c\u1ea9n th\u1eadn, t\u1ec9 m\u1ec9 trong c\u00e1c ph\u00e9p bi\u1ebfn \u0111\u1ed5i v\u00e0 t\u00ednh to\u00e1n. C\u00e1c d\u1ea1ng n\u00e2ng cao nh\u01b0 t\u00ecm nghi\u1ec7m c\u1ee7a \u0111a th\u1ee9c, t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t – nh\u1ecf nh\u1ea5t th\u01b0\u1eddng d\u00e0nh cho h\u1ecdc sinh kh\u00e1 gi\u1ecfi, nh\u01b0ng v\u1eabn c\u1ea7n hi\u1ec3u nguy\u00ean t\u1eafc \u0111\u1ec3 kh\u00f4ng b\u1ecb \u201cb\u1ecf l\u1ee1\u201d ki\u1ebfn th\u1ee9c quan tr\u1ecdng.<\/p>\n

\"\"<\/p>\n

2. Ph\u1ea7n H\u00ecnh h\u1ecdc<\/strong><\/h2>\n

N\u1ebfu \u1edf l\u1edbp 6, h\u00ecnh h\u1ecdc ch\u1ee7 y\u1ebfu d\u1eebng \u1edf ch\u01b0\u01a1ng tr\u00ecnh \u0111\u1ea1i c\u01b0\u01a1ng v\u00e0 nh\u1eadn bi\u1ebft kh\u00e1i ni\u1ec7m, th\u00ec sang l\u1edbp 7, \u0111\u00e2y \u0111\u01b0\u1ee3c xem l\u00e0 ph\u1ea7n kh\u00f3 v\u00e0 n\u1eb7ng nh\u1ea5t trong ch\u01b0\u01a1ng tr\u00ecnh, c\u00f3 li\u00ean h\u1ec7 tr\u1ef1c ti\u1ebfp t\u1edbi ki\u1ebfn th\u1ee9c l\u1edbp 8 v\u00e0 9. H\u1ecdc sinh l\u01a1 l\u00e0 \u1edf giai \u0111o\u1ea1n n\u00e0y th\u01b0\u1eddng d\u1ec5 y\u1ebfu v\u1ec1 h\u00ecnh h\u1ecdc \u1edf c\u00e1c l\u1edbp sau, th\u1eadm ch\u00ed h\u00ecnh th\u00e0nh t\u00e2m l\u00fd \u201cs\u1ee3\u201d h\u1ecdc h\u00ecnh.<\/p>\n

Tr\u1ecdng t\u00e2m ki\u1ebfn th\u1ee9c c\u1ea7n n\u1eafm v\u1eefng:<\/strong><\/p>\n

    \n
  • Vu\u00f4ng g\u00f3c \u2013 Song song:<\/strong> N\u1eafm ch\u1eafc d\u1ea5u hi\u1ec7u v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng song song (g\u00f3c so le trong, g\u00f3c \u0111\u1ed3ng v\u1ecb).<\/li>\n
  • Tam gi\u00e1c b\u1eb1ng nhau \u2013 Tam gi\u00e1c \u0111\u1eb7c bi\u1ec7t:<\/strong> \u0110\u00e2y l\u00e0 ph\u1ea7n quan tr\u1ecdng v\u00e0 c\u00f3 \u0111\u1ed9 ph\u00e2n lo\u1ea1i cao. Nhi\u1ec1u b\u00e0i t\u1eadp kh\u00f3 y\u00eau c\u1ea7u k\u1ef9 n\u0103ng v\u1ebd h\u00ecnh ph\u1ee5 ch\u00ednh x\u00e1c v\u00e0 t\u01b0 duy suy lu\u1eadn ch\u1eb7t ch\u1ebd.<\/li>\n
  • C\u00e1c m\u1ed1i quan h\u1ec7 trong tam gi\u00e1c:<\/strong> \u1ede h\u1ecdc k\u1ef3 2, tr\u1ecdng t\u00e2m l\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a c\u00e1c \u0111\u01b0\u1eddng \u0111\u1eb7c bi\u1ec7t trong tam gi\u00e1c (trung tuy\u1ebfn, ph\u00e2n gi\u00e1c, trung tr\u1ef1c, \u0111\u01b0\u1eddng cao). C\u00e1c d\u1ea1ng b\u00e0i m\u1edf r\u1ed9ng, xu\u1ea5t hi\u1ec7n nhi\u1ec1u b\u00e0i n\u00e2ng cao \u0111\u00f2i h\u1ecfi kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch, t\u1ed5ng h\u1ee3p t\u1ed1t – \u0111\u1eb7c bi\u1ec7t quan tr\u1ecdng v\u1edbi h\u1ecdc sinh \u00f4n thi h\u1ecdc sinh gi\u1ecfi.<\/li>\n<\/ul>\n

    3. S\u1ed1 h\u1ecdc v\u00e0 T\u1ed5 h\u1ee3p<\/strong><\/h2>\n

    \u0110\u00e2y l\u00e0 nh\u00f3m ki\u1ebfn th\u1ee9c th\u01b0\u1eddng xu\u1ea5t hi\u1ec7n trong \u0111\u1ec1 thi h\u1ecdc sinh gi\u1ecfi v\u00e0 d\u00e0nh cho h\u1ecdc sinh c\u00f3 \u0111\u1ecbnh h\u01b0\u1edbng chuy\u00ean thi chuy\u00ean. N\u1ed9i dung k\u1ebf th\u1eeba t\u1eeb l\u1edbp 6 nh\u01b0ng \u0111\u01b0\u1ee3c m\u1edf r\u1ed9ng v\u1edbi \u0111\u1ed9 kh\u00f3 cao h\u01a1n, bao g\u1ed3m: s\u1ed1 nguy\u00ean t\u1ed1, s\u1ed1 ch\u00ednh ph\u01b0\u01a1ng, b\u00e0i to\u00e1n nghi\u1ec7m nguy\u00ean, nguy\u00ean l\u00fd Dirichlet, nguy\u00ean l\u00fd t\u00f4 m\u00e0u. \u0110\u1ec3 l\u00e0m t\u1ed1t, h\u1ecdc sinh c\u1ea7n n\u1ec1n t\u1ea3ng v\u1eefng v\u1ec1 t\u01b0 duy logic, kh\u1ea3 n\u0103ng l\u1eadp lu\u1eadn ch\u1eb7t ch\u1ebd v\u00e0 s\u1ef1 chu\u1ea9n b\u1ecb s\u1edbm ngay t\u1eeb l\u1edbp 6, v\u00ec ph\u1ea7n n\u00e0y \u0111\u00f2i h\u1ecfi c\u1ea3 n\u0103ng khi\u1ebfu l\u1eabn k\u1ef9 n\u0103ng ph\u00e2n t\u00edch b\u00e0i to\u00e1n.<\/p>\n

    Vi\u1ec7c n\u1eafm v\u1eefng nh\u1eefng ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m tr\u01b0\u1edbc khi b\u01b0\u1edbc v\u00e0o To\u00e1n 7 s\u1ebd gi\u00fap h\u1ecdc sinh kh\u00f4ng ch\u1ec9 ti\u1ebfp thu b\u00e0i nhanh h\u01a1n m\u00e0 c\u00f2n t\u1ef1 tin x\u1eed l\u00fd c\u00e1c d\u1ea1ng to\u00e1n kh\u00f3. \u0110\u00e2y c\u0169ng l\u00e0 n\u1ec1n m\u00f3ng \u0111\u1ec3 ph\u00e1t tri\u1ec3n t\u01b0 duy logic v\u00e0 kh\u1ea3 n\u0103ng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 \u1edf c\u00e1c l\u1edbp cao h\u01a1n. Chu\u1ea9n b\u1ecb s\u1edbm ch\u00ednh l\u00e0 ch\u00eca kh\u00f3a \u0111\u1ec3 bi\u1ebfn th\u1eed th\u00e1ch th\u00e0nh c\u01a1 h\u1ed9i chinh ph\u1ee5c To\u00e1n h\u1ecdc.<\/p>\n","protected":false},"excerpt":{"rendered":"

    N\u1ebfu nh\u01b0 To\u00e1n l\u1edbp 6 v\u1eabn c\u00f2n nhi\u1ec1u ki\u1ebfn th\u1ee9c quen thu\u1ed9c n\u1ed1i ti\u1ebfp t\u1eeb b\u1eadc ti\u1ec3u h\u1ecdc, th\u00ec b\u01b0\u1edbc sang To\u00e1n l\u1edbp 7, ch\u01b0\u01a1ng tr\u00ecnh To\u00e1n m\u1edf ra m\u1ed9t \u201cth\u1ebf gi\u1edbi\u201d m\u1edbi v\u1edbi nhi\u1ec1u kh\u00e1i ni\u1ec7m, d\u1ea1ng b\u00e0i v\u00e0 k\u1ef9 n\u0103ng t\u01b0 duy ho\u00e0n to\u00e0n kh\u00e1c. N\u1ebfu kh\u00f4ng t\u1eadp trung ngay t\u1eeb \u0111\u1ea7u, h\u1ecdc…<\/p>\n","protected":false},"author":2,"featured_media":2413,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[6],"tags":[24],"_links":{"self":[{"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/posts\/2412"}],"collection":[{"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/comments?post=2412"}],"version-history":[{"count":1,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/posts\/2412\/revisions"}],"predecessor-version":[{"id":2415,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/posts\/2412\/revisions\/2415"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/media\/2413"}],"wp:attachment":[{"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/media?parent=2412"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/categories?post=2412"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/tags?post=2412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}