{"id":13464,"date":"2025-06-02T11:52:25","date_gmt":"2025-06-02T04:52:25","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=13464"},"modified":"2025-07-02T13:15:03","modified_gmt":"2025-07-02T06:15:03","slug":"chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/","title":{"rendered":"Chuy\u00ean \u0111\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian \u00f4n thi THPT Qu\u1ed1c Gia m\u00f4n To\u00e1n"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Chu_de_hinh_hoc_cua_khong_gian_trong_cau_truc_cua_cac_ky_thi_toan_cua_truong_trung_hoc_quoc_gia_2024\" >Ch\u1ee7 \u0111\u1ec1 h\u00ecnh h\u1ecdc c\u1ee7a kh\u00f4ng gian trong c\u1ea5u tr\u00fac c\u1ee7a c\u00e1c k\u1ef3 thi to\u00e1n c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia 2024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Ly_thuyet_ve_hinh_hoc_khong_gian\" >L\u00fd thuy\u1ebft v\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Diem_toa_do_vector_va_hoat_dong_vector\" >\u0110i\u1ec3m, t\u1ecda \u0111\u1ed9 vector v\u00e0 ho\u1ea1t \u0111\u1ed9ng vector<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Phuong_trinh_mat_phang\" >Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Phuong_trinh_duong_thang\" >Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Phuong_trinh_hinh_cau\" >Ph\u01b0\u01a1ng tr\u00ecnh h\u00ecnh c\u1ea7u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Khoang_cach\" >Kho\u1ea3ng c\u00e1ch<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Goc\" >G\u00f3c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Vi_tri_tuong_doi_giua_diem_mat_phang_duong_thang_hinh_cau\" >V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111i\u1ec3m, m\u1eb7t ph\u1eb3ng, \u0111\u01b0\u1eddng th\u1eb3ng, h\u00ecnh c\u1ea7u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Tim_diem_thoa_man_cac_yeu_cau_van_de\" >T\u00ecm \u0111i\u1ec3m th\u1ecfa m\u00e3n c\u00e1c y\u00eau c\u1ea7u v\u1ea5n \u0111\u1ec1<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Hon_80_bai_tap_ve_hinh_hoc_truong_trung_hoc_quoc_gia_co_cau_tra_loi\" >H\u01a1n 80 b\u00e0i t\u1eadp v\u1ec1 h\u00ecnh h\u1ecdc tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia (c\u00f3 c\u00e2u tr\u1ea3 l\u1eddi)<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Diem_toa_do_vector_va_hoat_dong_vector-2\" >\u0110i\u1ec3m, t\u1ecda \u0111\u1ed9 vector v\u00e0 ho\u1ea1t \u0111\u1ed9ng vector<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Phuong_trinh_mat_phang-2\" >Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Phuong_trinh_duong_thang-2\" >Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Phuong_trinh_hinh_cau-2\" >Ph\u01b0\u01a1ng tr\u00ecnh h\u00ecnh c\u1ea7u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Khoang_cach-2\" >Kho\u1ea3ng c\u00e1ch<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Goc-2\" >G\u00f3c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Vi_tri_tuong_doi_giua_diem_mat_phang_duong_thang_hinh_cau-2\" >V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111i\u1ec3m, m\u1eb7t ph\u1eb3ng, \u0111\u01b0\u1eddng th\u1eb3ng, h\u00ecnh c\u1ea7u<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.ckconitsha.com\/vn\/chuyen-de-hinh-hoc-khong-gian-on-thi-thpt-quoc-gia-mon-toan\/#Tim_diem_thoa_man_cac_yeu_cau_van_de-2\" >T\u00ecm \u0111i\u1ec3m th\u1ecfa m\u00e3n c\u00e1c y\u00eau c\u1ea7u v\u1ea5n \u0111\u1ec1<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>Nhi\u1ec1u sinh vi\u00ean c\u1ea3m th\u1ea5y do d\u1ef1 v\u1edbi ch\u1ee7 \u0111\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian Oxyz v\u00ec s\u1ef1 tr\u1eebu t\u01b0\u1ee3ng v\u00e0 kh\u00f3 kh\u0103n trong vi\u1ec7c h\u00ecnh dung. Tuy nhi\u00ean, v\u1edbi ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh gi\u00e1 ph\u00f9 h\u1ee3p, b\u1ea1n ho\u00e0n to\u00e0n c\u00f3 th\u1ec3 chinh ph\u1ee5c ch\u1ee7 \u0111\u1ec1 n\u00e0y v\u00e0 t\u1ef1 tin tham gia k\u1ef3 thi. B\u00e0i vi\u1ebft n\u00e0y s\u1ebd cung c\u1ea5p cho b\u1ea1n c\u00e1c t\u00e0i li\u1ec7u \u0111\u00e1nh gi\u00e1, ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3 v\u00e0 c\u00e1c lo\u1ea1i b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn trong h\u00ecnh h\u1ecdc h\u00ecnh h\u1ecdc tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia.<\/p>\n<p>                        Xem t\u1ea5t c\u1ea3<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Chu_de_hinh_hoc_cua_khong_gian_trong_cau_truc_cua_cac_ky_thi_toan_cua_truong_trung_hoc_quoc_gia_2024\"><\/span>Ch\u1ee7 \u0111\u1ec1 h\u00ecnh h\u1ecdc c\u1ee7a kh\u00f4ng gian trong c\u1ea5u tr\u00fac c\u1ee7a c\u00e1c k\u1ef3 thi to\u00e1n c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia 2024<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Hi\u1ec7n t\u1ea1i, trong b\u00e0i ki\u1ec3m tra tham kh\u1ea3o tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia, 2024 m\u00f4n to\u00e1n \u0111\u01b0\u1ee3c B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0110\u00e0o t\u1ea1o c\u00f4ng b\u1ed1, c\u00f3 16 c\u00e2u trong s\u1ed1 50 c\u00e2u v\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian. <em>(Bao g\u1ed3m: \u0111a di\u1ec7n, kh\u1ed1i quay, h\u00ecnh h\u1ecdc c\u1ee7a kh\u00f4ng gian oxy, h\u00ecnh h\u1ecdc c\u1ee7a kh\u00f4ng gian 11)<\/em>. N\u00f3 ch\u1ee9ng minh r\u1eb1ng \u0111\u00e2y l\u00e0 m\u1ed9t ch\u1ee7 \u0111\u1ec1 quan tr\u1ecdng gi\u00fap B\u1ed9 Gi\u00e1o d\u1ee5c v\u00e0 \u0110\u00e0o t\u1ea1o c\u00f3 th\u1ec3 \u0111\u00e1nh gi\u00e1 ch\u00ednh x\u00e1c n\u0103ng l\u1ef1c c\u1ee7a m\u1ed7i h\u1ecdc sinh. Ngo\u00e0i ra, sau khi c\u1ea5u tr\u00fac c\u1ee7a b\u00e0i ki\u1ec3m tra to\u00e1n h\u1ecdc tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia n\u0103m 2024, m\u1eb7c d\u00f9 c\u00e2u h\u1ecfi n\u00e2ng cao ch\u1ec9 chi\u1ebfm 1\/16, n\u00f3 y\u00eau c\u1ea7u c\u00e1c \u1ee9ng c\u1eed vi\u00ean hi\u1ec3u \u0111\u01b0\u1ee3c kh\u00e1i ni\u1ec7m v\u00e0 c\u00e1c lo\u1ea1i v\u1ea5n \u0111\u1ec1 ph\u1ed5 bi\u1ebfn c\u1ee7a h\u00ecnh h\u1ecdc oxyz.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ly_thuyet_ve_hinh_hoc_khong_gian\"><\/span>L\u00fd thuy\u1ebft v\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Trong ph\u1ea7n n\u00e0y, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef s\u1ebd cung c\u1ea5p cho b\u1ea1n ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 l\u00fd thuy\u1ebft v\u00e0 c\u00f4ng th\u1ee9c h\u00ecnh h\u1ecdc \u0111\u1ec3 xem x\u00e9t b\u00e0i ki\u1ec3m tra c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Diem_toa_do_vector_va_hoat_dong_vector\"><\/span>\u0110i\u1ec3m, t\u1ecda \u0111\u1ed9 vector v\u00e0 ho\u1ea1t \u0111\u1ed9ng vector<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">T\u00f3m t\u1eaft l\u00fd thuy\u1ebft v\u1ec1 h\u1ec7 t\u1ecda \u0111\u1ed9 trong kh\u00f4ng gian to\u00e1n h\u1ecdc 12, t\u1ecda \u0111\u1ed9 trong kh\u00f4ng gian Oxyz:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/1-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_mat_phang\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Gi\u1eef to\u00e0n b\u1ed9 h\u00ecnh h\u1ecdc c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh kh\u00f4ng gian v\u1edbi ki\u1ebfn \u200b\u200bth\u1ee9c sau:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/2-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_duong_thang\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng l\u00e0 m\u1ed9t ph\u1ea7n quan tr\u1ecdng c\u1ee7a h\u00ecnh h\u1ecdc tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia. Ki\u1ebfn th\u1ee9c c\u1ea7n nh\u1edb bao g\u1ed3m:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/3-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_hinh_cau\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh h\u00ecnh c\u1ea7u<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Khi n\u00f3i \u0111\u1ebfn h\u00ecnh h\u1ecdc kh\u00f4ng gian, c\u00e1c \u1ee9ng c\u1eed vi\u00ean kh\u00f4ng n\u00ean ch\u1ee7 quan trong vi\u1ec7c xem x\u00e9t ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 ph\u01b0\u01a1ng tr\u00ecnh h\u00ecnh c\u1ea7u. M\u1ed9t s\u1ed1 ki\u1ebfn \u200b\u200bth\u1ee9c quan tr\u1ecdng \u0111\u1ec3 ghi nh\u1edb nh\u01b0 sau:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/4-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Khoang_cach\"><\/span>Kho\u1ea3ng c\u00e1ch<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">T\u00f3m t\u1eaft ki\u1ebfn \u200b\u200bth\u1ee9c quan tr\u1ecdng v\u1ec1 kho\u1ea3ng c\u00e1ch trong h\u00ecnh h\u1ecdc k\u1ef3 thi c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia nh\u01b0 sau:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/5-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Goc\"><\/span>G\u00f3c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">T\u00f3m t\u1eaft ki\u1ebfn \u200b\u200bth\u1ee9c quan tr\u1ecdng v\u1ec1 g\u00f3c trong h\u00ecnh h\u1ecdc k\u1ef3 thi c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia nh\u01b0 sau:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/6-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Vi_tri_tuong_doi_giua_diem_mat_phang_duong_thang_hinh_cau\"><\/span>V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111i\u1ec3m, m\u1eb7t ph\u1eb3ng, \u0111\u01b0\u1eddng th\u1eb3ng, h\u00ecnh c\u1ea7u<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trong h\u00ecnh h\u1ecdc kh\u00f4ng gian, ki\u1ebfn \u200b\u200bth\u1ee9c v\u1ec1 v\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111i\u1ec3m, m\u1eb7t ph\u1eb3ng, \u0111\u01b0\u1eddng d\u00e2y, h\u00ecnh c\u1ea7u chi\u1ebfm ph\u1ea7n l\u1edbn c\u00e1c c\u00e2u h\u1ecfi trong k\u1ef3 thi c\u1ee7a tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia.<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/7-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<p dir=\"ltr\">\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Tim_diem_thoa_man_cac_yeu_cau_van_de\"><\/span>T\u00ecm \u0111i\u1ec3m th\u1ecfa m\u00e3n c\u00e1c y\u00eau c\u1ea7u v\u1ea5n \u0111\u1ec1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">T\u00ecm ki\u1ebfm nh\u1eefng \u0111i\u1ec3m th\u1ecfa m\u00e3n v\u1ea5n \u0111\u1ec1 l\u00e0 m\u1ed9t trong nh\u1eefng ki\u1ebfn \u200b\u200bth\u1ee9c n\u00e2ng cao thu\u1ed9c ch\u1ee7 th\u1ec3 h\u00ecnh h\u1ecdc kh\u00f4ng gian m\u00e0 c\u00e1c \u1ee9ng c\u1eed vi\u00ean c\u1ea7n ph\u1ea3i ch\u00fa \u00fd.<\/p>\n<p dir=\"ltr\">M\u1ed9t s\u1ed1 lo\u1ea1i to\u00e1n h\u1ecdc t\u00ecm th\u1ea5y c\u00e1c \u0111i\u1ec3m \u0111\u1ec3 \u0111\u00e1p \u1ee9ng c\u00e1c y\u00eau c\u1ea7u nh\u01b0:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/8-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Hon_80_bai_tap_ve_hinh_hoc_truong_trung_hoc_quoc_gia_co_cau_tra_loi\"><\/span>H\u01a1n 80 b\u00e0i t\u1eadp v\u1ec1 h\u00ecnh h\u1ecdc tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia (c\u00f3 c\u00e2u tr\u1ea3 l\u1eddi)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">D\u01b0\u1edbi \u0111\u00e2y l\u00e0 h\u01a1n 80 b\u00e0i t\u1eadp \u0111\u1ec3 gi\u00fap b\u1ea1n bi\u1ebft to\u00e0n b\u1ed9 ch\u1ee7 \u0111\u1ec1 c\u1ee7a h\u00ecnh h\u1ecdc kh\u00f4ng gian thi h\u1ecdc trung h\u1ecdc qu\u1ed1c gia v\u1edbi c\u00e2u tr\u1ea3 l\u1eddi tham kh\u1ea3o v\u1ec1 m\u1ed7i ch\u1ee7 \u0111\u1ec1.<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Diem_toa_do_vector_va_hoat_dong_vector-2\"><\/span>\u0110i\u1ec3m, t\u1ecda \u0111\u1ed9 vector v\u00e0 ho\u1ea1t \u0111\u1ed9ng vector<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/9-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tr>\n<td style=\"background-color: #ee202e;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"10\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">1<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">2<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">3<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">4<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">5<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">6<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">7<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">8<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">9<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">10<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_mat_phang-2\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh m\u1eb7t ph\u1eb3ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/10-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%;height: 163.172px\">\n<tr style=\"height: 54.3906px\">\n<td style=\"background-color: #ee202e;height: 54.3906px;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"10\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 54.3906px\">\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">1<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">2<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">3<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">4<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">5<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">6<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">7<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">8<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">9<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">10<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 54.3906px\">\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;height: 54.3906px;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_duong_thang-2\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/11-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tr>\n<td style=\"background-color: #ee202e;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"7\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">13<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">14<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">15<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">16<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">17<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">18<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">19<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_trinh_hinh_cau-2\"><\/span>Ph\u01b0\u01a1ng tr\u00ecnh h\u00ecnh c\u1ea7u<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/12-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tr>\n<td style=\"background-color: #ee202e;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"11\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">7<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">8<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">9<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">10<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">11<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">12<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">13<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">14<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">15<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">16<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">17<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Khoang_cach-2\"><\/span>Kho\u1ea3ng c\u00e1ch<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/13-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tr>\n<td style=\"background-color: #ee202e;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"9\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">1<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">2<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">3<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">4<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">5<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">6<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">7<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">8<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">9<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Goc-2\"><\/span>G\u00f3c<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/14-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tr>\n<td style=\"background-color: #ee202e;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"5\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">35<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">36<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">37<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">38<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">39<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Vi_tri_tuong_doi_giua_diem_mat_phang_duong_thang_hinh_cau-2\"><\/span>V\u1ecb tr\u00ed t\u01b0\u01a1ng \u0111\u1ed1i gi\u1eefa \u0111i\u1ec3m, m\u1eb7t ph\u1eb3ng, \u0111\u01b0\u1eddng th\u1eb3ng, h\u00ecnh c\u1ea7u<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/15-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%\">\n<tr>\n<td style=\"background-color: #ee202e;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"10\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">1<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">2<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">3<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">4<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">5<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">6<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">7<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">8<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">9<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">10<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">B<\/p>\n<\/td>\n<td style=\"background-color: #fff4f5;text-align: center;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<p>Xem th\u00eam: Thi\u1ebfu ch\u1ee7 theo ch\u1ee7 \u0111\u1ec1 Nguy\u1ec5n Ham &#8211; B\u00e0i ki\u1ec3m tra to\u00e1n h\u1ecdc tr\u01b0\u1eddng trung h\u1ecdc qu\u1ed1c gia t\u00edch h\u1ee3p<\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Tim_diem_thoa_man_cac_yeu_cau_van_de-2\"><\/span>T\u00ecm \u0111i\u1ec3m th\u1ecfa m\u00e3n c\u00e1c y\u00eau c\u1ea7u v\u1ea5n \u0111\u1ec1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/16-chuyen-de-hinh-hoc-khong-gian.png\" alt=\"\" width=\"100%\"><\/p>\n<table style=\"border-collapse: collapse;width: 100%;height: 163.172px\">\n<tr style=\"height: 54.3906px\">\n<td style=\"height: 54.3906px;background-color: #ee202e;text-align: center;border: 0.5px solid #4e4c50\" colspan=\"10\">\n<p dir=\"ltr\">Tr\u1ea3 l\u1eddi<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 54.3906px\">\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">1<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">2<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">3<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">4<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">5<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">6<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">7<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">8<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">9<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">10<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 54.3906px\">\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">M\u1ed8T<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">C<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<td style=\"text-align: center;height: 54.3906px;background-color: #fff4f5;border: 0.5px solid #4e4c50\">\n<p dir=\"ltr\">D<\/p>\n<\/td>\n<\/tr>\n<\/table>\n<p dir=\"ltr\">Do \u0111\u00f3, b\u00e0i vi\u1ebft \u0111\u00e3 cung c\u1ea5p cho b\u1ea1n c\u00e1c t\u00e0i li\u1ec7u \u0111\u00e1nh gi\u00e1, ph\u01b0\u01a1ng ph\u00e1p h\u1ecdc t\u1eadp hi\u1ec7u qu\u1ea3 v\u00e0 c\u00e1c lo\u1ea1i b\u00e0i t\u1eadp ph\u1ed5 bi\u1ebfn trong ch\u1ee7 \u0111\u1ec1 kh\u00f4ng gian thi h\u1ecdc trung h\u1ecdc qu\u1ed1c gia. Ch\u00fac b\u1ea1n ch\u1eafc ch\u1eafn v\u00e0 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m s\u1ed1 cao trong k\u1ef3 thi s\u1eafp t\u1edbi!<\/p>\n<p>Ngu\u1ed3n: <a href=\"https:\/\/www.ckconitsha.com\/vn\/\">https:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Nhi\u1ec1u sinh vi\u00ean c\u1ea3m th\u1ea5y do d\u1ef1 v\u1edbi ch\u1ee7 \u0111\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian Oxyz v\u00ec s\u1ef1 tr\u1eebu t\u01b0\u1ee3ng v\u00e0 kh\u00f3 kh\u0103n trong vi\u1ec7c h\u00ecnh dung. Tuy nhi\u00ean, v\u1edbi ph\u01b0\u01a1ng ph\u00e1p \u0111\u00e1nh gi\u00e1 ph\u00f9 h\u1ee3p, b\u1ea1n ho\u00e0n to\u00e0n c\u00f3 th\u1ec3 chinh ph\u1ee5c ch\u1ee7 \u0111\u1ec1 n\u00e0y v\u00e0 t\u1ef1 tin tham gia k\u1ef3 thi. B\u00e0i vi\u1ebft n\u00e0y&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-13464","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13464","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=13464"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13464\/revisions"}],"predecessor-version":[{"id":15858,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/13464\/revisions\/15858"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=13464"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=13464"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=13464"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}