{"common":{"save":0,"post_id":"7977","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"10491","post_id":"7977","mon_id":"1159278","chapter_id":"1159333","question":"<p>Cho tam gi&aacute;c ABC&nbsp;c&acirc;n t\u1ea1i A (<span class=\"math-tex\">$\\widehat{A}&lt;90^0$<\/span>).&nbsp;V\u1ebd \u0111\u01b0\u1eddng&nbsp;tr&ograve;n \u0111\u01b0\u1eddng k&iacute;nh AB&nbsp;c\u1eaft BC t\u1ea1i D, c\u1eaft AC t\u1ea1i E . Ch\u1ecdn \u0111&aacute;p &aacute;n <strong>\u0111&uacute;ng<\/strong>.<\/p><p><span class=\"svgedit\"><svg height=\"180\" width=\"175\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"none\" height=\"182\" id=\"canvas_background\" width=\"177\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> &lt;title&gt;&lt;\/title&gt; <g id=\"svg_13\"> <path d=\"m47.2,154.27188l53.5,-130.00001l53.5,130.00001l-106.99999,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <ellipse cx=\"73.50001\" cy=\"88.75\" fill=\"none\" id=\"svg_2\" rx=\"71\" ry=\"71\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"95\" xml:space=\"preserve\" y=\"17.25\">A<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"31\" xml:space=\"preserve\" y=\"172.25\">B<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"159\" xml:space=\"preserve\" y=\"168.25\">C<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"98\" xml:space=\"preserve\" y=\"172.25\">D<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"143\" xml:space=\"preserve\" y=\"121.25\">E<\/text> <line fill=\"none\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"101\" x2=\"101\" y1=\"22.25\" y2=\"153.25\"><\/line> <rect fill=\"none\" height=\"12\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"12\" x=\"89\" y=\"142.25\"><\/rect> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"100\" x2=\"141\" y1=\"154.25\" y2=\"113.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"47\" x2=\"139\" y1=\"154.25\" y2=\"114.25\"><\/line> <\/g> <\/g> <\/svg><\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\widehat{CBE}=\\dfrac{1}{2}\\widehat{BAC}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\widehat{CBE}=\\dfrac{1}{2}\\widehat{ACB}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\widehat{CBE}=\\dfrac{1}{2}\\widehat{ADE}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\widehat{CBE}=\\dfrac{1}{2}\\widehat{ABC}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\widehat{CBE}=\\dfrac{1}{2}\\widehat{BAC}$<\/span>.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"180\" width=\"175\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"none\" height=\"182\" id=\"canvas_background\" width=\"177\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> &lt;title&gt;&lt;\/title&gt; <g id=\"svg_13\"> <path d=\"m47.2,154.27188l53.5,-130.00001l53.5,130.00001l-106.99999,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <ellipse cx=\"73.50001\" cy=\"88.75\" fill=\"none\" id=\"svg_2\" rx=\"71\" ry=\"71\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"95\" xml:space=\"preserve\" y=\"17.25\">A<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"31\" xml:space=\"preserve\" y=\"172.25\">B<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"159\" xml:space=\"preserve\" y=\"168.25\">C<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"98\" xml:space=\"preserve\" y=\"172.25\">D<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"20\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"143\" xml:space=\"preserve\" y=\"121.25\">E<\/text> <line fill=\"none\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"101\" x2=\"101\" y1=\"22.25\" y2=\"153.25\"><\/line> <rect fill=\"none\" height=\"12\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"12\" x=\"89\" y=\"142.25\"><\/rect> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"100\" x2=\"141\" y1=\"154.25\" y2=\"113.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"47\" x2=\"139\" y1=\"154.25\" y2=\"114.25\"><\/line> <\/g> <\/g> <\/svg><\/span><\/p><p>Ta c&oacute;&nbsp;<span class=\"math-tex\">$\\widehat{ADB}=90^0$<\/span>&nbsp;(g&oacute;c n\u1ed9i ti\u1ebfp ch\u1eafn n\u1eeda \u0111\u01b0\u1eddng tr&ograve;n), suy ra AD <span class=\"math-tex\">$\\bot$<\/span>&nbsp;BC&nbsp;hay AD l&agrave; ph&acirc;n gi&aacute;c c\u1ee7a&nbsp;<span class=\"math-tex\">$\\widehat{BAC}$<\/span>.<\/p><p>Khi \u0111&oacute; <span class=\"math-tex\">$\\widehat{CAD}=\\dfrac{1}{2}\\widehat{BAC}$<\/span>&nbsp;(1).<\/p><p>M&agrave;&nbsp;&nbsp;<span class=\"math-tex\">$\\widehat{CBE}=\\widehat{CAD}$<\/span>&nbsp; (g&oacute;c n\u1ed9i&nbsp;ti\u1ebfp c&ugrave;ng ch\u1eafn cung DE) (2).<\/p><p>T\u1eeb (1) v&agrave; (2) suy ra&nbsp;<span class=\"math-tex\">$\\widehat{CBE}=\\dfrac{1}{2}\\widehat{BAC}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-03-09 14:31:03","option_type":"math","len":0},{"id":"10493","post_id":"7977","mon_id":"1159278","chapter_id":"1159333","question":"<p>Ba \u0111i\u1ec3m A, B, C&nbsp;thu\u1ed9c \u0111\u01b0\u1eddng tr&ograve;n (O) sao&nbsp;cho <span class=\"math-tex\">$\\widehat{ABC}=64^0$<\/span>. T\u1eeb A, v\u1ebd AH&nbsp;vu&ocirc;ng g&oacute;c v\u1edbi&nbsp;BC&nbsp;v&agrave; AH&nbsp;c\u1eaft \u0111\u01b0\u1eddng tr&ograve;n (O) t\u1ea1i K. G\u1ecdi&nbsp;KL l&agrave; m\u1ed9t d&acirc;y cung song song v\u1edbi d&acirc;y AB,&nbsp;T&iacute;nh <span class=\"math-tex\">$\\widehat{ACL}$<\/span>.<\/p>","options":["<strong>A.<\/strong> 64&deg;","<strong>B.<\/strong> 32&deg;","<strong>C.<\/strong> 26&deg;","<strong>D.<\/strong> 54&deg;"],"correct":"3","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong> 26&deg;.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"270\" width=\"255\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"none\" height=\"272\" id=\"canvas_background\" width=\"257\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> &lt;title&gt;&lt;\/title&gt; <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"2\" x2=\"3\" y1=\"-66.75\" y2=\"-66.75\"><\/line> <g id=\"svg_22\"> <ellipse cx=\"122\" cy=\"132.75\" fill=\"#fff\" id=\"svg_1\" rx=\"120\" ry=\"120\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"154\" x2=\"30\" y1=\"17.25\" y2=\"208.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"29\" x2=\"216\" y1=\"208.25\" y2=\"208\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"154\" x2=\"215\" y1=\"16.25\" y2=\"207.25\"><\/line> <g id=\"svg_8\"> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"49\" xml:space=\"preserve\" y=\"200.25\">64<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"66\" xml:space=\"preserve\" y=\"193.25\">o<\/text> <\/g> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"154\" x2=\"154\" y1=\"16.25\" y2=\"248.25\"><\/line> <rect fill=\"#fff\" fill-opacity=\"null\" height=\"14\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"14\" x=\"154\" y=\"193.25\"><\/rect> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"154\" x2=\"239\" y1=\"247.25\" y2=\"112.25\"><\/line> <ellipse cx=\"122\" cy=\"132.75\" fill=\"#000000\" id=\"svg_12\" rx=\"3\" ry=\"3\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_13\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"216\" x2=\"241\" y1=\"208.25\" y2=\"110.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"153\" xml:space=\"preserve\" y=\"13.25\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"13\" xml:space=\"preserve\" y=\"217.25\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"150\" xml:space=\"preserve\" y=\"262.25\">K<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"135\" xml:space=\"preserve\" y=\"201.25\">H<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"243\" xml:space=\"preserve\" y=\"109.25\">L<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"219\" xml:space=\"preserve\" y=\"218.25\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"211\" xml:space=\"preserve\" y=\"195.25\">?<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" font-weight=\"bold\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-90 213.50000000000003,181.75) \" x=\"211\" xml:space=\"preserve\" y=\"187.25\">)<\/text> <\/g> <\/g> <\/svg><\/span><\/p><p>Ta c&oacute;: <span class=\"math-tex\">$\\widehat{BAH}=90^0-\\widehat{ABC}=90^0-64^0=26^0$<\/span>&nbsp; (1).<\/p><p>M&agrave; KL \/\/ AB n&ecirc;n&nbsp;<span class=\"math-tex\">$\\widehat{BAH}=\\widehat{AKL}$<\/span>&nbsp;(hai g&oacute;c so le trong)&nbsp; (2).<\/p><p>L\u1ea1i c&oacute;&nbsp;<span class=\"math-tex\">$\\widehat{ACL}=\\widehat{AKL}$<\/span>&nbsp;(hai g&oacute;c n\u1ed9i ti\u1ebfp c&ugrave;ng ch\u1eafn cung AL)&nbsp; (3).<\/p><p>T\u1eeb (1), (2) v&agrave; (3) suy ra <span class=\"math-tex\">$\\widehat{ACL}=26^0$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-03-09 14:47:28","option_type":"txt","len":0},{"id":"10497","post_id":"7977","mon_id":"1159278","chapter_id":"1159333","question":"<p>AB v&agrave; CE l&agrave; hai \u0111\u01b0\u1eddng k&iacute;nh vu&ocirc;ng g&oacute;c c\u1ee7a&nbsp;\u0111\u01b0\u1eddng tr&ograve;n (O ; R). K\u1ebb d&acirc;y CE qua trung \u0111i\u1ec3m I c\u1ee7a&nbsp;OB. K\u1ebb \u0111\u01b0\u1eddng cao AH c\u1ee7a tam gi&aacute;c ACE. Di\u1ec7n t&iacute;ch&nbsp;tam gi&aacute;c ACE b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{6R^2}{5}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{4R^2}{5}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{5R^2}{6}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{5R^2}{4}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{6R^2}{5}$<\/span>.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"275\" width=\"269\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"#fff\" height=\"277\" id=\"canvas_background\" width=\"271\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> &lt;title&gt;&lt;\/title&gt; <image height=\"275\" id=\"svg_1\" width=\"269\" x=\"1.5\" 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\" y=\"0.5\"><\/image> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"233\" x2=\"137\" y1=\"209.5\" y2=\"258.5\"><\/line> <rect fill=\"none\" fill-opacity=\"null\" height=\"15\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-28 222.5,206.99999999999991) \" width=\"15\" x=\"215\" y=\"199.5\"><\/rect> <\/g> <\/svg><\/span><\/p><p>Tam gi&aacute;c vu&ocirc;ng&nbsp;OCI c&oacute;&nbsp;OC = R, OI =&nbsp;<span class=\"math-tex\">$\\dfrac{R}{2}$<\/span>, n&ecirc;n theo \u0111\u1ecbnh l&iacute; Pythagore c&oacute;&nbsp;<span class=\"math-tex\">$CI=\\sqrt{R^2+\\dfrac{R^2}{4}}=\\dfrac{R\\sqrt{5}}{2}$<\/span>.<\/p><p>Tam gi&aacute;c HAI c&oacute; AI = AO + OI = R +&nbsp;<span class=\"math-tex\">$\\dfrac{R}{2}$<\/span>&nbsp;=&nbsp;<span class=\"math-tex\">$\\dfrac{3R}{2}$<\/span>&nbsp;(v&igrave; I l&agrave; trung \u0111i\u1ec3m c\u1ee7a OB).<\/p><p>X&eacute;t&nbsp;<span class=\"math-tex\">$\\triangle HAI$<\/span>&nbsp;vu&ocirc;ng t\u1ea1i H v&agrave;&nbsp;<span class=\"math-tex\">$\\triangle OCI$<\/span>&nbsp;vu&ocirc;ng t\u1ea1i O c&oacute; <span class=\"math-tex\">$\\widehat{CIA}$<\/span> chung<br \/>n&ecirc;n&nbsp;<span class=\"math-tex\">$\\triangle HAI$<\/span>&nbsp;<span class=\"math-tex\">$\\backsim$<\/span>&nbsp;<span class=\"math-tex\">$\\triangle OCI$<\/span>&nbsp;(g&oacute;c nh\u1ecdn).<\/p><p>Suy ra&nbsp;<span class=\"math-tex\">$\\dfrac{HA}{AI}=\\dfrac{OC}{CI}$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$HA=\\dfrac{OC.AI}{CI}=\\dfrac{R.\\dfrac{3R}{2}}{\\dfrac{R\\sqrt{5}}{2}}=\\dfrac{3R}{\\sqrt{5}}$<\/span>.<\/p><p><span class=\"math-tex\">$\\widehat{CED}$<\/span> n\u1ed9i ti\u1ebfp ch\u1eafn n\u1eeda \u0111\u01b0\u1eddng tr&ograve;n \u0111\u01b0\u1eddng k&iacute;nh CD n&ecirc;n&nbsp;<span class=\"math-tex\">$\\widehat{CED}$<\/span>&nbsp;= 90&deg;.<\/p><p>Tam gi&aacute;c ECD vu&ocirc;ng t\u1ea1i E c&oacute; CD = 2R.<\/p><p>X&eacute;t&nbsp;<span class=\"math-tex\">$\\triangle ECD$<\/span>&nbsp;vu&ocirc;ng t\u1ea1i E&nbsp;v&agrave;&nbsp;<span class=\"math-tex\">$\\triangle OCI$<\/span>&nbsp;vu&ocirc;ng t\u1ea1i O c&oacute; <span class=\"math-tex\">$\\widehat{ECD}$<\/span> chung<br \/>n&ecirc;n&nbsp;<span class=\"math-tex\">$\\triangle ECD$<\/span>&nbsp;<span class=\"math-tex\">$\\backsim$<\/span>&nbsp;<span class=\"math-tex\">$\\triangle OCI$<\/span>&nbsp;(g&oacute;c nh\u1ecdn).<\/p><p>Suy ra&nbsp;<span class=\"math-tex\">$\\dfrac{EC}{CD}=\\dfrac{OC}{CI}$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$EC=\\dfrac{OC.CD}{CI}=\\dfrac{R.2R}{\\dfrac{R\\sqrt{5}}{2}}=\\dfrac{4R}{\\sqrt{5}}$<\/span>.<\/p><p>Di\u1ec7n t&iacute;ch tam gi&aacute;c ACE l&agrave;&nbsp;<span class=\"math-tex\">$S=\\dfrac{1}{2}.EC.HA=\\dfrac{1}{2}.\\dfrac{4R}{\\sqrt{5}}.\\dfrac{3R}{\\sqrt{5}}=\\dfrac{6R^2}{5}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-03-09 15:19:09","option_type":"math","len":0}]}