{"id":1038,"date":"2026-05-05T06:13:34","date_gmt":"2026-05-05T06:13:34","guid":{"rendered":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/chinh-phuc-toan-toan-dien-lop-11-tap-2-hinh-hoc-khong-gian-thay-nguyen-dang-ai-pdf\/"},"modified":"2026-05-05T07:54:48","modified_gmt":"2026-05-05T07:54:48","slug":"chinh-phuc-toan-toan-dien-lop-11-tap-2-hinh-hoc-khong-gian-thay-nguyen-dang-ai-pdf","status":"publish","type":"post","link":"https:\/\/79.buffdemo.com\/index.php\/2026\/05\/05\/chinh-phuc-toan-toan-dien-lop-11-tap-2-hinh-hoc-khong-gian-thay-nguyen-dang-ai-pdf\/","title":{"rendered":"Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF"},"content":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang ch\u1eadt v\u1eadt v\u1edbi nh\u1eefng b\u00e0i to\u00e1n kho\u1ea3ng c\u00e1ch v\u00e0 th\u1ec3 t\u00edch kh\u00f3 nh\u1eb1n trong H\u00ecnh h\u1ecdc kh\u00f4ng gian 11? \u0110\u1eebng \u0111\u1ec3 chuy\u00ean \u0111\u1ec1 n\u00e0y c\u1ea3n tr\u1edf m\u1ee5c ti\u00eau \u0111i\u1ec3m 9+ c\u1ee7a b\u1ea1n! V\u1edbi <strong>Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF<\/strong>, b\u1ea1n s\u1ebd s\u1edf h\u1eefu ngay h\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c ph\u00e2n lo\u1ea1i chi ti\u1ebft t\u1eeb c\u01a1 s\u1edf \u0111\u1ebfn c\u00e1c d\u1ea1ng b\u00e0i n\u00e2ng cao nh\u01b0 \u0110\u1ecbnh v\u1ecb ch\u00e2n \u0111\u01b0\u1eddng cao hay Kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng ch\u00e9o nhau, gi\u00fap b\u1ea1n l\u00e0m ch\u1ee7 ho\u00e0n to\u00e0n H\u00ecnh h\u1ecdc kh\u00f4ng gian. C\u00f9ng <a href=\"https:\/\/tailieuonthi.edu.vn\/\" rel=\"noopener\" target=\"_blank\"><strong>Tailieuonthi EDU<\/strong><\/a> kh\u00e1m ph\u00e1 \u201ctr\u1ee3 th\u1ee7\u201d \u0111\u1eafc l\u1ef1c n\u00e0y!<\/p>\n<h2><strong>N\u1ed9i dung Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF<\/strong><\/h2>\n<p><a href=\"https:\/\/tailieuonthi.edu.vn\/lop-11\/toan-11\/\" rel=\"noopener\" target=\"_blank\"><strong>T\u00e0i li\u1ec7u to\u00e1n 11<\/strong><\/a> \u0111\u01b0\u1ee3c bi\u00ean so\u1ea1n k\u1ef9 l\u01b0\u1ee1ng, b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh h\u1ecdc v\u00e0 ph\u00e2n lo\u1ea1i chuy\u00ean \u0111\u1ec1 m\u1ed9t c\u00e1ch khoa h\u1ecdc, gi\u00fap h\u1ecdc sinh d\u1ec5 d\u00e0ng n\u1eafm b\u1eaft t\u1eeb c\u01a1 b\u1ea3n \u0111\u1ebfn n\u00e2ng cao. T\u1eadp 2 n\u00e0y t\u1eadp trung v\u00e0o c\u00e1c chuy\u00ean \u0111\u1ec1 tr\u1ecdng t\u00e2m c\u1ee7a H\u00ecnh h\u1ecdc kh\u00f4ng gian l\u1edbp 11, bao g\u1ed3m:<\/p>\n<p><strong>I. Chuy\u00ean \u0111\u1ec1 v\u1ec1 Quan h\u1ec7 Song song (T\u1eeb trang 007)<\/strong><\/p>\n<ul>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X31: C\u01a1 b\u1ea3n v\u1ec1 h\u00ecnh h\u1ecdc kh\u00f4ng gian (T\u1ef1 luy\u1ec7n: 007 | \u0110\u00e1p \u00e1n: 010)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X32: Hai \u0111\u01b0\u1eddng th\u1eb3ng song song trong kh\u00f4ng gian (T\u1ef1 luy\u1ec7n: 011 | \u0110\u00e1p \u00e1n: 014)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X33: \u0110\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1eb7t ph\u1eb3ng trong KG (T\u1ef1 luy\u1ec7n: 015 | \u0110\u00e1p \u00e1n: 018)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X34: Hai m\u1eb7t ph\u1eb3ng song song trong kh\u00f4ng gian (T\u1ef1 luy\u1ec7n: 019 | \u0110\u00e1p \u00e1n: 022)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X35: Ph\u00e9p chi\u1ebfu song song trong kh\u00f4ng gian (T\u1ef1 luy\u1ec7n: 023 | \u0110\u00e1p \u00e1n: 028)<\/li>\n<\/ul>\n<p><strong>II. Chuy\u00ean \u0111\u1ec1 v\u1ec1 Quan h\u1ec7 Vu\u00f4ng g\u00f3c (T\u1eeb trang 029)<\/strong><\/p>\n<ul>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X61: Hai \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c trong kh\u00f4ng gian (T\u1ef1 luy\u1ec7n: 029 | \u0110\u00e1p \u00e1n: 032)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X62: \u0110\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi m\u1eb7t ph\u1eb3ng trong KG (T\u1ef1 luy\u1ec7n: 033 | \u0110\u00e1p \u00e1n: 036 | L\u1eddi gi\u1ea3i chi ti\u1ebft: 037)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X63: Hai m\u1eb7t ph\u1eb3ng vu\u00f4ng g\u00f3c trong kh\u00f4ng gian (T\u1ef1 luy\u1ec7n: 047 | \u0110\u00e1p \u00e1n: 050 | L\u1eddi gi\u1ea3i chi ti\u1ebft: 051)<\/li>\n<\/ul>\n<p><strong>III. Chuy\u00ean \u0111\u1ec1 Kho\u1ea3ng c\u00e1ch, Th\u1ec3 t\u00edch &amp; \u1ee8ng d\u1ee5ng (T\u1eeb trang 065)<\/strong><\/p>\n<ul>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X64: H\u00ecnh ch\u00f3p \u0111\u1ec1u v\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 \u0111\u1ec1u (T\u1ef1 luy\u1ec7n: 065 | \u0110\u00e1p \u00e1n: 068 | L\u1eddi gi\u1ea3i chi ti\u1ebft: 069)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X65: \u0110\u1ecbnh v\u1ecb ch\u00e2n \u0111\u01b0\u1eddng cao (T\u1ef1 luy\u1ec7n: 077 | \u0110\u00e1p \u00e1n: 078 | L\u1eddi gi\u1ea3i chi ti\u1ebft: 079)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X66: C\u01a1 b\u1ea3n v\u1ec1 kho\u1ea3ng c\u00e1ch (T\u1ef1 luy\u1ec7n: 085 | \u0110\u00e1p \u00e1n: 088 | L\u1eddi gi\u1ea3i chi ti\u1ebft: 089)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X67: Kho\u1ea3ng c\u00e1ch gi\u1eefa hai \u0111\u01b0\u1eddng th\u1eb3ng ch\u00e9o nhau (T\u1ef1 luy\u1ec7n: 103 | \u0110\u00e1p \u00e1n: 106 | L\u1eddi gi\u1ea3i chi ti\u1ebft: 107)<\/li>\n<li>Ch\u1ee7 \u0111\u1ec1 TDM11X68: C\u01a1 b\u1ea3n v\u1ec1 th\u1ec3 t\u00edch ch\u00f3p v\u00e0 h\u00ecnh l\u0103ng tr\u1ee5 (T\u1ef1 luy\u1ec7n: 117 | \u0110\u00e1p \u00e1n: 120 | L\u1eddi gi\u1ea3i chi ti\u1ebft: 121)<\/li>\n<\/ul>\n<h2><strong>\u0110i\u1ec3m n\u1ed5i b\u1eadt c\u1ee7a Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF<\/strong><\/h2>\n<p>V\u1edbi Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF, h\u1ecdc sinh s\u1ebd nh\u1eadn \u0111\u01b0\u1ee3c nhi\u1ec1u l\u1ee3i \u00edch thi\u1ebft th\u1ef1c:<\/p>\n<ul>\n<li><strong>T\u00e1c gi\u1ea3 uy t\u00edn, gi\u00e0u kinh nghi\u1ec7m:<\/strong> Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i l\u00e0 t\u00e1c gi\u1ea3 \u0111\u01b0\u1ee3c nhi\u1ec1u th\u1ebf h\u1ec7 h\u1ecdc sinh tin t\u01b0\u1edfng, \u0111\u1ea3m b\u1ea3o v\u1ec1 ch\u1ea5t l\u01b0\u1ee3ng chuy\u00ean m\u00f4n v\u00e0 t\u00ednh ch\u00ednh x\u00e1c c\u1ee7a ki\u1ebfn th\u1ee9c.<\/li>\n<li><strong>H\u1ec7 th\u1ed1ng ki\u1ebfn th\u1ee9c c\u00f4 \u0111\u1ecdng, \u0111i t\u1eeb g\u1ed1c:<\/strong> T\u00e0i li\u1ec7u chia nh\u1ecf ki\u1ebfn th\u1ee9c th\u00e0nh c\u00e1c ch\u1ee7 \u0111\u1ec1 gi\u00fap h\u1ecdc sinh n\u1eafm ch\u1eafc ph\u01b0\u01a1ng ph\u00e1p c\u1ed1t l\u00f5i tr\u01b0\u1edbc khi \u00e1p d\u1ee5ng v\u00e0o b\u00e0i t\u1eadp ph\u1ee9c t\u1ea1p.<\/li>\n<li><strong>C\u1ea5u tr\u00fac Luy\u1ec7n t\u1eadp \u2192 \u0110\u00e1p \u00e1n \u2192 L\u1eddi gi\u1ea3i chi ti\u1ebft:<\/strong> M\u1ed7i ch\u1ee7 \u0111\u1ec1 \u0111\u1ec1u c\u00f3 ph\u1ea7n \u0110\u1ec1 t\u1ef1 luy\u1ec7n, k\u00e8m theo \u0111\u00e1p \u00e1n v\u00e0 \u0111\u1eb7c bi\u1ec7t l\u00e0 l\u1eddi gi\u1ea3i chi ti\u1ebft, gi\u00fap h\u1ecdc sinh t\u1ef1 h\u1ecdc, t\u1ef1 ki\u1ec3m tra v\u00e0 hi\u1ec3u r\u00f5 b\u1ea3n ch\u1ea5t c\u1ee7a t\u1eebng b\u01b0\u1edbc gi\u1ea3i, tr\u00e1nh h\u1ecdc v\u1eb9t.<\/li>\n<li><strong>Ph\u1ee7 tr\u1ecdn c\u00e1c d\u1ea1ng b\u00e0i kh\u00f3 nh\u1ea5t:<\/strong> T\u00e0i li\u1ec7u kh\u00f4ng n\u00e9 tr\u00e1nh c\u00e1c chuy\u00ean \u0111\u1ec1 \u201ckh\u00f3 nh\u1eb1n\u201d hay th\u1ec3 t\u00edch ch\u00f3p v\u00e0 l\u0103ng tr\u1ee5, gi\u00fap h\u1ecdc sinh s\u1eb5n s\u00e0ng \u0111\u1ed1i m\u1eb7t v\u1edbi m\u1ecdi c\u00e2u h\u1ecfi trong \u0111\u1ec1 thi.<\/li>\n<\/ul>\n<h2><strong>T\u1ea3i Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF<\/strong><\/h2>\n<p>H\u00e3y t\u1ea3i ngay t\u00e0i li\u1ec7u v\u1ec1 \u0111\u1ec3 c\u00f3 trong tay l\u1ed9 tr\u00ecnh \u00f4n luy\u1ec7n chu\u1ea9n m\u1ef1c v\u00e0 b\u1eaft \u0111\u1ea7u h\u00e0nh tr\u00ecnh chinh ph\u1ee5c \u0111i\u1ec3m tuy\u1ec7t \u0111\u1ed1i m\u00f4n To\u00e1n 11!<\/p>\n<p><a class=\"custom-button\" href=\"https:\/\/drive.google.com\/file\/d\/1opSWruWwwLXPJrz7b9K6mWEeihY8oIIt\/view\" rel=\"nofollow noopener\" target=\"_blank\">T\u1ea3i Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF<\/a><\/p>\n<p>\u0110\u00e2y l\u00e0 b\u1ea3n PDF n\u00ean s\u1ebd c\u00f3 th\u1ec3 c\u00f3 thi\u1ebfu s\u00f3t. N\u1ebfu c\u00f3 \u0111i\u1ec1u ki\u1ec7n b\u1ea1n n\u00ean mua b\u1ea3n g\u1ed1c \u0111\u1ec3 \u0111\u01b0\u1ee3c tr\u1ea3i nghi\u1ec7m t\u1ed1t h\u01a1n v\u00e0 \u1ee7ng h\u1ed9 Th\u1ea7y C\u00f4 nh\u00e9.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>B\u1ea1n c\u00f3 \u0111ang ch\u1eadt v\u1eadt v\u1edbi nh\u1eefng b\u00e0i to\u00e1n kho\u1ea3ng c\u00e1ch v\u00e0 th\u1ec3 t\u00edch kh\u00f3 nh\u1eb1n trong H\u00ecnh h\u1ecdc kh\u00f4ng gian 11? \u0110\u1eebng \u0111\u1ec3 chuy\u00ean \u0111\u1ec1 n\u00e0y c\u1ea3n tr\u1edf m\u1ee5c ti\u00eau \u0111i\u1ec3m 9+ c\u1ee7a b\u1ea1n! V\u1edbi Chinh Ph\u1ee5c To\u00e1n To\u00e0n Di\u1ec7n L\u1edbp 11 T\u1eadp 2 H\u00ecnh H\u1ecdc Kh\u00f4ng Gian Th\u1ea7y Nguy\u1ec5n \u0110\u0103ng \u00c1i PDF, b\u1ea1n [&#8230;]\n","protected":false},"author":1,"featured_media":2236,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[97,16],"class_list":["post-1038","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-toan-11","tag-thay-nguyen-dang-ai","tag-toan-11"],"_links":{"self":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1038","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=1038"}],"version-history":[{"count":1,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1038\/revisions"}],"predecessor-version":[{"id":2237,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/1038\/revisions\/2237"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2236"}],"wp:attachment":[{"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=1038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=1038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/79.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=1038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}