{"id":372,"date":"2026-05-05T04:42:18","date_gmt":"2026-05-05T04:42:18","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-cuong-hoc-ki-2-toan-12-nam-2024-2025-truong-thpt-yen-hoa-ha-noi\/"},"modified":"2026-05-05T07:14:59","modified_gmt":"2026-05-05T07:14:59","slug":"de-cuong-hoc-ki-2-toan-12-nam-2024-2025-truong-thpt-yen-hoa-ha-noi","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/de-cuong-hoc-ki-2-toan-12-nam-2024-2025-truong-thpt-yen-hoa-ha-noi\/","title":{"rendered":"\u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i"},"content":{"rendered":"<p><strong>\u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i<\/strong> l\u00e0 t\u1eadp t\u00e0i li\u1ec7u v\u1edbi \u0111\u1ea7y \u0111\u1ee7 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp nguy\u00ean h\u00e0m t\u00edch ph\u00e2n, ph\u01b0\u01a1ng ph\u00e1p t\u1ecda \u0111\u1ed9 kh\u00f4ng gian, v\u00e0 x\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n. T\u00f3m t\u1eaft c\u00e1c ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc sinh 12 t\u1ef1 tin \u00f4n thi h\u1ecdc k\u1ef3 hi\u1ec7u qu\u1ea3. C\u00f9ng <strong><a href=\"https:\/\/tailieuonthi.edu.vn\/\" target=\"_blank\" rel=\"noopener\">T\u00e0i Li\u1ec7u \u00d4n Thi<\/a><\/strong> xem qua n\u1ed9i dung t\u00e0i li\u1ec7u c\u00f3 g\u00ec \u0111\u1eb7c bi\u1ec7t qua b\u00e0i vi\u1ebft sau \u0111\u00e2y.<\/p>\n<h2><strong>N\u1ed9i dung \u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i<\/strong><\/h2>\n<p><strong>\u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i<\/strong> c\u00f3 t\u1ea5t c\u1ea3 37 trang g\u1ed3m ki\u1ebfn th\u1ee9c 3 ch\u01b0\u01a1ng ch\u00ednh nh\u01b0 sau:<\/p>\n<p><strong>CH\u01af\u01a0NG IV \u2013 NGUY\u00caN H\u00c0M V\u00c0 T\u00cdCH PH\u00c2N.<\/strong><\/p>\n<p>B\u00e0i 11. Nguy\u00ean h\u00e0m.<\/p>\n<p>B\u00e0i 12. T\u00edch ph\u00e2n.<\/p>\n<p>B\u00e0i 13. \u1ee8ng d\u1ee5ng h\u00ecnh h\u1ecdc c\u1ee7a t\u00edch ph\u00e2n.<\/p>\n<p><strong>CH\u01af\u01a0NG V \u2013 PH\u01af\u01a0NG PH\u00c1P T\u1eccA \u0110\u1ed8 TRONG KH\u00d4NG GIAN.<\/strong><\/p>\n<p>B\u00e0i 14. Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng.<\/p>\n<p>B\u00e0i 15. Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng trong kh\u00f4ng gian.<\/p>\n<p>B\u00e0i 16. C\u00f4ng th\u1ee9c t\u00ednh g\u00f3c trong kh\u00f4ng gian.<\/p>\n<p>B\u00e0i 17. Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t c\u1ea7u.<\/p>\n<p><strong>CH\u01af\u01a0NG VI \u2013 X\u00c1C SU\u1ea4T C\u00d3 \u0110I\u1ec0U KI\u1ec6N.<\/strong><\/p>\n<p>B\u00e0i 18. X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n.<\/p>\n<p>B\u00e0i 19. C\u00f4ng th\u1ee9c x\u00e1c su\u1ea5t to\u00e0n ph\u1ea7n v\u00e0 c\u00f4ng th\u1ee9c Bayes.<\/p>\n<p>(***) Tr\u00edch m\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi trong ph\u1ea7n <strong>Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng trong kh\u00f4ng gian<\/strong> c\u1ee7a <strong>\u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i <\/strong>nh\u01b0 sau:<\/p>\n<p><strong>C\u00e2u 13:<\/strong> Trong kh\u00f4ng gian  Oxyz , \u0111\u00e0i ki\u1ec3m so\u00e1t kh\u00f4ng l\u01b0u s\u00e2n bay c\u00f3 t\u1ecda \u0111\u1ed9  O(0;0;0) , \u0111\u01a1n v\u1ecb tr\u00ean m\u1ed7i tr\u1ee5c t\u00ednh theo kil\u00f4m\u00e9t. M\u1ed9t m\u00e1y bay chuy\u1ec3n \u0111\u1ed9ng h\u01b0\u1edbng v\u1ec1 \u0111\u00e0i ki\u1ec3m so\u00e1t kh\u00f4ng l\u01b0u, bay qua hai v\u1ecb tr\u00ed A(-500;-250;150), B(-200;-200;100).  Khi m\u00e1y bay  O  g\u1ea7n \u0111\u00e0i ki\u1ec3m so\u00e1t nh\u1ea5t, t\u1ecda \u0111\u1ed9 c\u1ee7a v\u1ecb tr\u00ed m\u00e1y bay l\u00e0  (a;b;c) .Gi\u00e1 tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c  -3a &#8211; b &#8211; c  l\u00e0 bao nhi\u00eau (l\u00e0m tr\u00f2n k\u1ebft qu\u1ea3 \u0111\u1ebfn h\u00e0ng \u0111\u01a1n v\u1ecb)?<\/p>\n<p>mathbfA. 3124. mathbfB. 3214. mathbfC. 3125. mathbfD. 3150.<\/p>\n<p><strong>C\u00e2u 14:<\/strong> Trong m\u1ed9t khu du l\u1ecbch, ng\u01b0\u1eddi ta cho du kh\u00e1ch tr\u1ea3i nghi\u1ec7m thi\u00ean nhi\u00ean b\u1eb1ng c\u00e1ch du theo \u0111\u01b0\u1eddng tr\u01b0\u1ee3t zipline t\u1eeb v\u1ecb tr\u00ed  A  cao 15 m c\u1ee7a th\u00e1p 1 n\u00e0y sang v\u1ecb tr\u00ed  B  cao 10 m c\u1ee7a th\u00e1p 2 trong khung c\u1ea3nh tuy\u1ec7t \u0111\u1eb9p xung quanh.V\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9  Oxyz  cho tr\u01b0\u1edbc (\u0111\u01a1n v\u1ecb: m\u00e9t), t\u1ecda \u0111\u1ed9 c\u1ee7a  A  v\u00e0  B  l\u1ea7n l\u01b0\u1ee3t l\u00e0 A(3;2.5;15), B(21;27.5;10).  X\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 c\u1ee7a du kh\u00e1ch khi \u1edf \u0111\u1ed9 cao 12 m\u00e9t.<\/p>\n<h2><strong>T\u1ea3i \u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i<\/strong><\/h2>\n<p>B\u1ea1n mu\u1ed1n chinh ph\u1ee5c \u0111i\u1ec3m s\u1ed1 cao cho k\u1ef3 thi s\u1eafp t\u1edbi? H\u00e3y nhanh ch\u00f3ng \u00f4n t\u1eadp v\u00e0 r\u00e8n luy\u1ec7n c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp c\u00f3 trong \u0111\u1ec1 c\u01b0\u01a1ng \u0111\u1ec3 n\u1eafm ch\u1eafc ki\u1ebfn th\u1ee9c v\u00e0 b\u1ee9t ph\u00e1 trong k\u1ef3 thi ch\u00ednh th\u1ee9c nh\u00e9. M\u1eddi qu\u00fd th\u1ea7y c\u00f4 v\u00e0 c\u00e1c b\u1ea1n c\u00f9ng xem v\u00e0 t\u1ea3i <strong>\u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i<\/strong> qua \u0111\u01b0\u1eddng link d\u01b0\u1edbi \u0111\u00e2y.<\/p>\n<p><iframe height=\"480\" loading=\"lazy\" src=\"https:\/\/drive.google.com\/file\/d\/1aVU-c2M06SUZcCboe84rJ8_KfjpY8O7v\/preview\" width=\"640\"><\/iframe><br \/><a class=\"migration-iframe-fallback\" href=\"https:\/\/drive.google.com\/file\/d\/1aVU-c2M06SUZcCboe84rJ8_KfjpY8O7v\/view\" rel=\"nofollow noopener\" target=\"_blank\">M\u1edf t\u00e0i li\u1ec7u n\u1ebfu khung xem tr\u01b0\u1edbc kh\u00f4ng hi\u1ec3n th\u1ecb<\/a><\/p>\n<p><strong><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/1aVU-c2M06SUZcCboe84rJ8_KfjpY8O7v\/view?usp=drive_link\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i \u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0110\u1ec1 c\u01b0\u01a1ng h\u1ecdc k\u00ec 2 To\u00e1n 12 n\u0103m 2024 \u2013 2025 tr\u01b0\u1eddng THPT Y\u00ean H\u00f2a H\u00e0 N\u1ed9i l\u00e0 t\u1eadp t\u00e0i li\u1ec7u v\u1edbi \u0111\u1ea7y \u0111\u1ee7 c\u00e1c d\u1ea1ng b\u00e0i t\u1eadp nguy\u00ean h\u00e0m t\u00edch ph\u00e2n, ph\u01b0\u01a1ng ph\u00e1p t\u1ecda \u0111\u1ed9 kh\u00f4ng gian, v\u00e0 x\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n. T\u00f3m t\u1eaft c\u00e1c ki\u1ebfn th\u1ee9c tr\u1ecdng t\u00e2m gi\u00fap c\u00e1c b\u1ea1n h\u1ecdc [&#8230;]\n","protected":false},"author":1,"featured_media":1571,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[60],"tags":[61],"class_list":["post-372","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tong-hop","tag-tong-hop"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/372","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/comments?post=372"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/372\/revisions"}],"predecessor-version":[{"id":1572,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/372\/revisions\/1572"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/1571"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=372"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=372"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=372"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}