{"id":452,"date":"2024-08-15T15:29:20","date_gmt":"2024-08-15T08:29:20","guid":{"rendered":"https:\/\/navi.edu.vn\/blog\/?p=452"},"modified":"2024-12-07T09:23:53","modified_gmt":"2024-12-07T02:23:53","slug":"tong-hop-kien-thuc-toan-lop-9-theo-chuong-trinh-moi","status":"publish","type":"post","link":"https:\/\/navi.edu.vn\/blog\/tong-hop-kien-thuc-toan-lop-9-theo-chuong-trinh-moi\/","title":{"rendered":"T\u1ed5ng h\u1ee3p ki\u1ebfn th\u1ee9c To\u00e1n l\u1edbp 9 theo Ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi"},"content":{"rendered":"<p>L\u1edbp 9 l\u00e0 giai \u0111o\u1ea1n quan tr\u1ecdng \u0111\u1ec3 h\u1ecdc sinh c\u1ee7ng c\u1ed1 n\u1ec1n t\u1ea3ng ki\u1ebfn th\u1ee9c tr\u01b0\u1edbc khi b\u01b0\u1edbc v\u00e0o k\u1ef3 thi chuy\u1ec3n c\u1ea5p. Ki\u1ebfn th\u1ee9c To\u00e1n l\u1edbp 9 \u0111\u00f2i h\u1ecfi s\u1ef1 n\u1eafm v\u1eefng v\u00e0 hi\u1ec3u s\u00e2u s\u1eafc c\u00e1c kh\u00e1i ni\u1ec7m v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i to\u00e1n, \u0111\u1ed3ng th\u1eddi To\u00e1n h\u1ecdc c\u0169ng l\u00e0 m\u1ed9t trong nh\u1eefng b\u1ed9 m\u00f4n c\u1ed1t l\u00f5i \u0111\u1ed1i v\u1edbi h\u1ecdc sinh. B\u00e0i vi\u1ebft n\u00e0y s\u1ebd t\u1ed5ng h\u1ee3p nh\u1eefng ki\u1ebfn th\u1ee9c To\u00e1n l\u1edbp 9 theo Ch\u01b0\u01a1ng tr\u00ecnh m\u1edbi, gi\u00fap h\u1ecdc sinh h\u1ec7 th\u1ed1ng l\u1ea1i ki\u1ebfn th\u1ee9c, \u0111\u1ed3ng th\u1eddi cung c\u1ea5p m\u1ed9t s\u1ed1 ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3 \u0111\u1ec3 \u0111\u1ea1t k\u1ebft qu\u1ea3 cao trong k\u1ef3 thi s\u1eafp t\u1edbi.<\/p>\n<h2>1. \u0110\u1ea1i s\u1ed1<\/h2>\n<p><strong>C\u0103n th\u1ee9c:<\/strong><\/p>\n<ul>\n<li><em>C\u0103n b\u1eadc hai v\u00e0 c\u0103n b\u1eadc ba c\u1ee7a s\u1ed1 th\u1ef1c<\/em><\/li>\n<li><em>C\u0103n th\u1ee9c b\u1eadc hai v\u00e0 c\u0103n th\u1ee9c b\u1eadc ba c\u1ee7a bi\u1ec3u th\u1ee9c \u0111\u1ea1i s\u1ed1<\/em><\/li>\n<\/ul>\n<p><strong>H\u00e0m s\u1ed1 v\u00e0 \u0111\u1ed3 th\u1ecb:<\/strong><\/p>\n<ul>\n<li><em>H\u00e0m s\u1ed1 y = ax<sup>2<\/sup> (a kh\u00e1c 0) v\u00e0 \u0111\u1ed3 th\u1ecb<\/em><\/li>\n<\/ul>\n<p><strong>Ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh:<\/strong><\/p>\n<ul>\n<li><em>Ph\u01b0\u01a1ng tr\u00ecnh quy v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n<\/em><\/li>\n<li><em>Ph\u01b0\u01a1ng tr\u00ecnh v\u00e0 h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t hai \u1ea9n<\/em><\/li>\n<li><em>Ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai m\u1ed9t \u1ea9n. \u0110\u1ecbnh l\u00ed Vi\u00e8te<\/em><\/li>\n<\/ul>\n<p><strong>B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n:<\/strong><\/p>\n<ul>\n<li><em>B\u1ea5t \u0111\u1eb3ng th\u1ee9c. B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc nh\u1ea5t m\u1ed9t \u1ea9n<\/em><\/li>\n<\/ul>\n<h2>2. H\u00ecnh h\u1ecdc &amp; \u0110o l\u01b0\u1eddng<\/h2>\n<h3>2.1 H\u00ecnh h\u1ecdc tr\u1ef1c quan<\/h3>\n<p><strong>C\u00e1c h\u00ecnh kh\u1ed1i trong th\u1ef1c ti\u1ec5n:<\/strong><\/p>\n<ul>\n<li>H\u00ecnh tr\u1ee5 &#8211; H\u00ecnh n\u00f3n &#8211; H\u00ecnh c\u1ea7u<\/li>\n<\/ul>\n<h3>2.1 H\u00ecnh h\u1ecdc ph\u1eb3ng<\/h3>\n<p><strong>H\u1ec7 th\u1ee9c l\u01b0\u1ee3ng trong tam gi\u00e1c vu\u00f4ng<\/strong><\/p>\n<ul>\n<li><em>T\u1ec9 s\u1ed1 l\u01b0\u1ee3ng gi\u00e1c c\u1ee7a g\u00f3c nh\u1ecdn. M\u1ed9t s\u1ed1 h\u1ec7 th\u1ee9c v\u1ec1 c\u1ea1nh v\u00e0 g\u00f3c trong tam gi\u00e1c vu\u00f4ng<\/em><\/li>\n<\/ul>\n<p><strong>\u0110\u01b0\u1eddng tr\u00f2n:<\/strong><\/p>\n<ul>\n<li><em>\u0110\u01b0\u1eddng tr\u00f2n. V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n<\/em><\/li>\n<li><em>V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 \u0111\u01b0\u1eddng tr\u00f2n. Ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/em><\/li>\n<li><em>G\u00f3c \u1edf t\u00e2m, g\u00f3c n\u1ed9i ti\u1ebfp<\/em><\/li>\n<li><em>\u0110\u01b0\u1eddng tr\u00f2n ngo\u1ea1i ti\u1ebfp tam gi\u00e1c. \u0110\u01b0\u1eddng tr\u00f2n n\u1ed9i ti\u1ebfp tam gi\u00e1c<\/em><\/li>\n<li><em>T\u1ee9 gi\u00e1c n\u1ed9i ti\u1ebfp<\/em><\/li>\n<\/ul>\n<p><strong>\u0110a gi\u00e1c \u0111\u1ec1u: <\/strong><em>\u0110a gi\u00e1c \u0111\u1ec1u<\/em><\/p>\n<h2>3. M\u1ed9t s\u1ed1 y\u1ebfu t\u1ed1 Th\u1ed1ng k\u00ea &amp; X\u00e1c su\u1ea5t<\/h2>\n<h3>3.1 M\u1ed9t s\u1ed1 y\u1ebfu t\u1ed1 th\u1ed1ng k\u00ea<\/h3>\n<p><strong>Thu th\u1eadp v\u00e0 t\u1ed5 ch\u1ee9c d\u1eef li\u1ec7u:<\/strong><\/p>\n<ul>\n<li><em>M\u00f4 t\u1ea3 v\u00e0 bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u tr\u00ean c\u00e1c b\u1ea3ng, bi\u1ec3u \u0111\u1ed3<\/em><\/li>\n<\/ul>\n<p><strong>Ph\u00e2n t\u00edch v\u00e0 x\u1eed l\u00ed d\u1eef li\u1ec7u:<\/strong><\/p>\n<ul>\n<li><em>B\u1ea3ng t\u1ea7n s\u1ed1, bi\u1ec3u \u0111\u1ed3 t\u1ea7n s\u1ed1. B\u1ea3ng t\u1ea7n s\u1ed1 t\u01b0\u01a1ng \u0111\u1ed1i, bi\u1ec3u \u0111\u1ed3 t\u1ea7n s\u1ed1 t\u01b0\u01a1ng \u0111\u1ed1i<\/em><\/li>\n<\/ul>\n<h3>3.2 M\u1ed9t s\u1ed1 y\u1ebfu t\u1ed1 x\u00e1c su\u1ea5t<\/h3>\n<p><strong>M\u1ed9t s\u1ed1 y\u1ebfu t\u1ed1 x\u00e1c su\u1ea5t:<\/strong><\/p>\n<ul>\n<li><em>Ph\u00e9p th\u1eed ng\u1eabu nhi\u00ean v\u00e0 kh\u00f4ng gian m\u1eabu. X\u00e1c su\u1ea5t c\u1ee7a bi\u1ebfn c\u1ed1 trong m\u1ed9t s\u1ed1 m\u00f4 h\u00ecnh x\u00e1c su\u1ea5t \u0111\u01a1n gi\u1ea3n<\/em><\/li>\n<\/ul>\n<h2>4. Ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3<\/h2>\n<p><strong>L\u1eadp k\u1ebf ho\u1ea1ch \u00f4n t\u1eadp theo t\u1eebng ch\u01b0\u01a1ng: <\/strong>H\u1ecdc sinh n\u00ean chia ki\u1ebfn th\u1ee9c To\u00e1n l\u1edbp 9 th\u00e0nh c\u00e1c ch\u01b0\u01a1ng c\u1ee5 th\u1ec3, r\u1ed3i ph\u00e2n b\u1ed5 th\u1eddi gian h\u1ecdc t\u1eadp cho t\u1eebng ch\u01b0\u01a1ng theo th\u1ee9 t\u1ef1 t\u1eeb d\u1ec5 \u0111\u1ebfn kh\u00f3. M\u1ed7i tu\u1ea7n n\u00ean d\u00e0nh th\u1eddi gian \u00f4n t\u1eadp l\u1ea1i ki\u1ebfn th\u1ee9c \u0111\u00e3 h\u1ecdc v\u00e0 l\u00e0m c\u00e1c b\u00e0i t\u1eadp th\u1ef1c h\u00e0nh \u0111\u1ec3 c\u1ee7ng c\u1ed1.<\/p>\n<p><strong>Ghi nh\u1edb v\u00e0 \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c To\u00e1n h\u1ecdc<\/strong>: S\u1eed d\u1ee5ng c\u00e1c c\u00f4ng c\u1ee5 h\u1ed7 tr\u1ee3 nh\u01b0 s\u01a1 \u0111\u1ed3 t\u01b0 duy \u0111\u1ec3 ghi nh\u1edb c\u00e1c c\u00f4ng th\u1ee9c v\u00e0 \u0111\u1ecbnh l\u00fd quan tr\u1ecdng. Th\u01b0\u1eddng xuy\u00ean l\u00e0m b\u00e0i t\u1eadp v\u00e0 \u00e1p d\u1ee5ng c\u00e1c ki\u1ebfn th\u1ee9c v\u00e0o gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf s\u1ebd gi\u00fap h\u1ecdc sinh hi\u1ec3u s\u00e2u v\u00e0 ghi nh\u1edb l\u00e2u h\u01a1n.<\/p>\n<p><strong>C\u00e1c t\u00e0i li\u1ec7u v\u00e0 ngu\u1ed3n h\u1ecdc t\u1eadp h\u1eefu \u00edch<\/strong>: H\u1ecdc sinh c\u00f3 th\u1ec3 tham kh\u1ea3o c\u00e1c s\u00e1ch tham kh\u1ea3o, c\u00e1c website gi\u00e1o d\u1ee5c uy t\u00edn nh\u01b0 <a href=\"https:\/\/navi.edu.vn\/thu-vien\/\" target=\"_blank\" rel=\"noopener\">Th\u01b0 vi\u1ec7n NaviEdu<\/a>, v\u00e0 tham gia c\u00e1c kh\u00f3a h\u1ecdc tr\u1ef1c tuy\u1ebfn \u0111\u1ec3 m\u1edf r\u1ed9ng ki\u1ebfn th\u1ee9c. S\u1eed d\u1ee5ng c\u00e1c \u1ee9ng d\u1ee5ng h\u1ecdc t\u1eadp tr\u00ean \u0111i\u1ec7n tho\u1ea1i c\u0169ng l\u00e0 m\u1ed9t c\u00e1ch ti\u1ec7n l\u1ee3i \u0111\u1ec3 \u00f4n t\u1eadp v\u00e0 ki\u1ec3m tra ki\u1ebfn th\u1ee9c th\u01b0\u1eddng xuy\u00ean.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-453\" src=\"https:\/\/navi.edu.vn\/blog\/wp-content\/uploads\/2024\/08\/tong-hop-kien-thuc-toan-lop-9-theo-chuong-trinh-moi-1.jpg\" alt=\"\" width=\"1000\" height=\"667\" srcset=\"https:\/\/navi.edu.vn\/blog\/wp-content\/uploads\/2024\/08\/tong-hop-kien-thuc-toan-lop-9-theo-chuong-trinh-moi-1.jpg 1000w, https:\/\/navi.edu.vn\/blog\/wp-content\/uploads\/2024\/08\/tong-hop-kien-thuc-toan-lop-9-theo-chuong-trinh-moi-1-300x200.jpg 300w, https:\/\/navi.edu.vn\/blog\/wp-content\/uploads\/2024\/08\/tong-hop-kien-thuc-toan-lop-9-theo-chuong-trinh-moi-1-768x512.jpg 768w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/p>\n<p>N\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c To\u00e1n l\u1edbp 9 l\u00e0 b\u01b0\u1edbc \u0111\u1ec7m quan tr\u1ecdng cho k\u1ef3 thi chuy\u1ec3n c\u1ea5p v\u00e0 c\u00e1c b\u1eadc h\u1ecdc ti\u1ebfp theo. Vi\u1ec7c x\u00e2y d\u1ef1ng l\u1ed9 tr\u00ecnh h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3 kh\u00f4ng ch\u1ec9 gi\u00fap h\u1ecdc sinh c\u1ee7ng c\u1ed1 n\u1ec1n t\u1ea3ng ki\u1ebfn th\u1ee9c m\u00e0 c\u00f2n t\u1ea1o \u0111i\u1ec1u ki\u1ec7n \u0111\u1ec3 ph\u00e1t tri\u1ec3n t\u01b0 duy logic v\u00e0 k\u1ef9 n\u0103ng gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1. B\u1eb1ng c\u00e1ch t\u1eadn d\u1ee5ng c\u00e1c ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp ph\u00f9 h\u1ee3p v\u00e0 ngu\u1ed3n t\u00e0i li\u1ec7u phong ph\u00fa, h\u1ecdc sinh c\u00f3 th\u1ec3 t\u1ef1 tin chinh ph\u1ee5c c\u00e1c th\u1eed th\u00e1ch trong k\u1ef3 thi v\u00e0 \u1ee9ng d\u1ee5ng ki\u1ebfn th\u1ee9c v\u00e0o th\u1ef1c ti\u1ec5n.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>L\u1edbp 9 l\u00e0 giai \u0111o\u1ea1n quan tr\u1ecdng \u0111\u1ec3 h\u1ecdc sinh c\u1ee7ng c\u1ed1 n\u1ec1n t\u1ea3ng ki\u1ebfn th\u1ee9c tr\u01b0\u1edbc khi b\u01b0\u1edbc v\u00e0o k\u1ef3 thi chuy\u1ec3n c\u1ea5p. Ki\u1ebfn th\u1ee9c To\u00e1n l\u1edbp 9 \u0111\u00f2i h\u1ecfi s\u1ef1 n\u1eafm v\u1eefng v\u00e0 hi\u1ec3u s\u00e2u s\u1eafc c\u00e1c kh\u00e1i ni\u1ec7m v\u00e0 ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i to\u00e1n, \u0111\u1ed3ng th\u1eddi To\u00e1n h\u1ecdc c\u0169ng l\u00e0 m\u1ed9t trong nh\u1eefng&#8230;<\/p>\n","protected":false},"author":2,"featured_media":454,"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\/452"}],"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=452"}],"version-history":[{"count":2,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/posts\/452\/revisions"}],"predecessor-version":[{"id":456,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/posts\/452\/revisions\/456"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/media\/454"}],"wp:attachment":[{"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/media?parent=452"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/categories?post=452"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/navi.edu.vn\/blog\/wp-json\/wp\/v2\/tags?post=452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}