{"common":{"save":0,"post_id":"8787","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"10848","post_id":"8787","mon_id":"1159278","chapter_id":"1159333","question":"<p>X&aacute;c \u0111\u1ecbnh b&aacute;n k&iacute;nh c\u1ee7a \u0111\u01b0\u1eddng tr&ograve;n ngo\u1ea1i&nbsp;ti\u1ebfp tam gi&aacute;c \u0111\u1ec1u ABC c&oacute; c\u1ea1nh b\u1eb1ng 2a.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{2a\\sqrt{3}}{3}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\dfrac{a\\sqrt{3}}{3}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{a\\sqrt{6}}{3}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{2a\\sqrt{6}}{3}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{2a\\sqrt{3}}{3}$<\/span>.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"271\" width=\"253\" 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\" y=\"0\"><\/image> <\/g> <\/svg><\/span><\/p><p>G\u1ecdi O l&agrave; giao \u0111i\u1ec3m c\u1ee7a ba \u0111\u01b0\u1eddng trung tr\u1ef1c&nbsp;c\u1ee7a tam gi&aacute;c \u0111\u1ec1u ABC th&igrave; O \u0111\u1ed3ng th\u1eddi l&agrave;&nbsp;tr\u1ecdng t&acirc;m v&agrave; tr\u1ef1c t&acirc;m c\u1ee7a tam&nbsp;gi&aacute;c.<\/p><p>Ta c&oacute; OA = OB = OC =&nbsp;<span class=\"math-tex\">$\\dfrac{2}{3}$<\/span>AH&nbsp;(&nbsp;H&nbsp;l&agrave; ch&acirc;n&nbsp;\u0111\u01b0\u1eddng cao k\u1ebb t\u1eeb A).<br \/>Do \u0111&oacute;, O l&agrave; t&acirc;m \u0111\u01b0\u1eddng tr&ograve;n ngo\u1ea1i ti\u1ebfp tam&nbsp;gi&aacute;c \u0111\u1ec1u ABC.<\/p><p>M\u1eb7t kh&aacute;c, x&eacute;t tam gi&aacute;c AHB vu&ocirc;ng t\u1ea1i H, theo \u0111\u1ecbnh l&iacute; Pythagore, ta c&oacute;:<\/p><p><span class=\"math-tex\">$AH^2=AB^2-BH^2=4a^2-a^2=3a^2$<\/span>&nbsp;suy ra&nbsp;<span class=\"math-tex\">$AH=a\\sqrt{3}$<\/span>.<\/p><p>Suy ra&nbsp;<span class=\"math-tex\">$OA=\\dfrac{2}{3}AH=\\dfrac{2}{3}.a\\sqrt{3}=\\dfrac{2a\\sqrt{3}}{3}$<\/span>&nbsp;(t&iacute;nh&nbsp;ch\u1ea5t tr\u1ecdng t&acirc;m).<\/p><p>V\u1eady \u0111\u01b0\u1eddng tr&ograve;n ngo\u1ea1i ti\u1ebfp tam gi&aacute;c \u0111\u1ec1u c\u1ea1nh 2a&nbsp;c&oacute; t&acirc;m l&agrave; tr\u1ecdng t&acirc;m tam gi&aacute;c v&agrave; c&oacute; b&aacute;n k&iacute;nh l&agrave;&nbsp;<span class=\"math-tex\">$\\dfrac{2a\\sqrt{3}}{3}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-04-07 13:41:11","option_type":"math","len":0},{"id":"10853","post_id":"8787","mon_id":"1159278","chapter_id":"1159333","question":"<p>Cho tam gi&aacute;c ABC c&oacute; chu vi 20 cm ngo\u1ea1i ti\u1ebfp&nbsp;\u0111\u01b0\u1eddng tr&ograve;n (O). Ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr&ograve;n (O) song song&nbsp;v\u1edbi BC b\u1ecb AB,&nbsp;AC c\u1eaft th&agrave;nh \u0111o\u1ea1n th\u1eb3ng<br \/>MN = 2,4 cm. T&iacute;nh&nbsp;\u0111\u1ed9 d&agrave;i BC bi\u1ebft \u0111\u1ed9 d&agrave;i c\u1ea1nh BC &lt; 5 cm.<\/p>","options":["<strong>A.<\/strong> 1 cm","<strong>B.<\/strong> 4 cm","<strong>C.<\/strong> 3 cm","<strong>D.<\/strong> 2 cm"],"correct":"2","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong> 4 cm.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"275\" width=\"245\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g> &lt;title&gt;&lt;\/title&gt; <rect fill=\"#fff\" height=\"277\" id=\"canvas_background\" width=\"247\" 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=\"252.99999\" id=\"svg_1\" stroke=\"null\" width=\"219.00001\" x=\"12.5\" 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\" y=\"8\"><\/image> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"58.5\" xml:space=\"preserve\" y=\"15\">A<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"34.5\" xml:space=\"preserve\" y=\"122\">N<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"21.5\" xml:space=\"preserve\" y=\"171\">D<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.5\" xml:space=\"preserve\" y=\"262\">B<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_6\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"102.5\" xml:space=\"preserve\" y=\"272\">F<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_7\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"230.5\" xml:space=\"preserve\" y=\"260\">C<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_8\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"168.5\" xml:space=\"preserve\" y=\"153\">E<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"149.5\" xml:space=\"preserve\" y=\"121\">M<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_10\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"108.5\" xml:space=\"preserve\" y=\"199\">O<\/text> <text fill=\"#000000\" font-family=\"Times New Roman, Times, serif\" font-size=\"16\" id=\"svg_12\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"102.5\" xml:space=\"preserve\" y=\"112\">I<\/text> <\/g> <\/svg><\/span><br \/>G\u1ecdi D, E, F l&agrave; l\u1ea7n l\u01b0\u1ee3t&nbsp;ti\u1ebfp \u0111i\u1ec3m c\u1ee7a (O) v\u1edbi AB, AC, BC.<br \/>Ta c&oacute;: AD = AE; BD = BF; CE = CF n&ecirc;n \u0111\u1eb7t \u0111\u1eb7t BC = x, AD = y, ta c&oacute; x + y = 10&nbsp; &nbsp;(1).<br \/>V&igrave; MN \/\/ BC n&ecirc;n ta c&oacute;: <span class=\"math-tex\">$\\widehat{ANM}=\\widehat{B}$<\/span> (2 g&oacute;c \u0111\u1ed3ng v\u1ecb) m&agrave; <span class=\"math-tex\">$\\widehat{A}$<\/span>&nbsp;chung n&ecirc;n&nbsp;<span class=\"math-tex\">$\\triangle ANM \\backsim \\triangle ABC$<\/span>&nbsp;(g.g).<br \/>Suy ra&nbsp;<span class=\"math-tex\">$\\dfrac{MN}{BC}=\\dfrac{chu\\;vi\\;\\triangle ANM}{chu\\;vi\\;\\triangle ABC}$<\/span>.<\/p><p>M\u1eb7t kh&aacute;c chu vi tam gi&aacute;c AMN b\u1eb1ng:&nbsp;AM + AN + MN = AD + AE = 2AD = 2y.<br \/>Khi \u0111&oacute;:&nbsp;<span class=\"math-tex\">$\\dfrac{2,4}{x}=\\dfrac{2y}{20}$<\/span>&nbsp;hay xy = 24&nbsp; &nbsp;(2).<br \/>T\u1eeb (1) v&agrave; (2) ta \u0111\u01b0\u1ee3c:&nbsp;<span class=\"math-tex\">$x(10-x)=24$<\/span>&nbsp;hay&nbsp;<span class=\"math-tex\">$x^2-10x+24=0$<\/span>.<br \/>Suy ra&nbsp;<span class=\"math-tex\">$x=4$<\/span>&nbsp;ho\u1eb7c&nbsp;<span class=\"math-tex\">$x=6$<\/span>. M&agrave; BC &lt; 5 cm. N&ecirc;n BC = 4 cm.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-04-07 13:52:15","option_type":"txt","len":0},{"id":"10858","post_id":"8787","mon_id":"1159278","chapter_id":"1159333","question":"<p>Cho \u0111\u01b0\u1eddng tr&ograve;n (O ; R). T\u1eeb \u0111i\u1ec3m A tr&ecirc;n \u0111\u01b0\u1eddng&nbsp;tr&ograve;n n&agrave;y v\u1ebd c&aacute;c cung AB v&agrave; AC sao cho s\u1ed1 \u0111o c&aacute;c cung nh\u1ecf AB v&agrave; AC l\u1ea7n l\u01b0\u1ee3t l&agrave; 30&deg; v&agrave; 90&deg;&nbsp;(\u0111i\u1ec3m A n\u1eb1m tr&ecirc;n cung nh\u1ecf BC ).&nbsp;Di\u1ec7n t&iacute;ch c\u1ee7a tam gi&aacute;c ABC b\u1eb1ng:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$R^2\\dfrac{\\sqrt{6}}{2}\\sin15^0$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$R^2\\dfrac{\\sqrt{6}}{3}\\sin15^0$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$R^2\\dfrac{\\sqrt{3}}{2}\\sin15^0$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$R^2\\dfrac{\\sqrt{3}}{6}\\sin15^0$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$R^2\\dfrac{\\sqrt{6}}{2}\\sin15^0$<\/span>.<\/span><\/p><p><span class=\"svgedit\"><svg height=\"235\" width=\"245\"> <g>&lt;title&gt;&lt;\/title><rect fill=\"#ffffff\" height=\"237\" id=\"canvas_background\" width=\"247\" 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><g id=\"svg_17\"> <ellipse cx=\"122\" cy=\"121\" fill=\"none\" id=\"svg_2\" rx=\"109.5\" ry=\"109\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"77.5\" x2=\"14.5\" y1=\"21\" y2=\"97\"><\/line> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"77.5\" x2=\"227.5\" y1=\"22\" y2=\"94\"><\/line> <line fill=\"none\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"15.5\" x2=\"226.5\" y1=\"94\" y2=\"94\"><\/line> <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=\"77.5\" x2=\"78\" y1=\"21\" y2=\"95\"><\/line> <rect fill=\"none\" fill-opacity=\"null\" height=\"15\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"15\" x=\"77.5\" y=\"79\"><\/rect> <ellipse cx=\"122\" cy=\"121\" fill=\"#000000\" id=\"svg_11\" rx=\"2\" ry=\"2\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"67.5\" xml:space=\"preserve\" y=\"17\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"0.5\" xml:space=\"preserve\" y=\"100\">B<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"70.5\" xml:space=\"preserve\" y=\"113\">H<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"230.5\" xml:space=\"preserve\" y=\"97\">C<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"18\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"119.5\" xml:space=\"preserve\" y=\"141\">O<\/text> <\/g> <\/g> <\/svg><\/span><\/p><p>Ta c&oacute;&nbsp;<span class=\"math-tex\">$\\widehat{B}=90^0:2=45^0$<\/span>&nbsp;;&nbsp;<span class=\"math-tex\">$\\widehat{C}=30^0:2=15^0$<\/span>.<\/p><p>Suy ra s\u0111 <span class=\"math-tex\">$\\stackrel\\frown{BAC}$<\/span>&nbsp;= 30&deg; + 90&deg; = 120&deg;.<\/p><p>Do \u0111&oacute; BC l&agrave; c\u1ea1nh c\u1ee7a m\u1ed9t tam gi&aacute;c \u0111\u1ec1u n\u1ed9i ti\u1ebfp. V\u1eady&nbsp;<span class=\"math-tex\">$BC=R\\sqrt{3}$<\/span>.<\/p><p>V&igrave; s\u0111 <span class=\"math-tex\">$\\stackrel\\frown{AC}$<\/span>&nbsp;= 90&deg;&nbsp;n&ecirc;n AC l&agrave; c\u1ea1nh c\u1ee7a m\u1ed9t h&igrave;nh vu&ocirc;ng n\u1ed9i&nbsp;ti\u1ebfp.<\/p><p>V\u1eady <span class=\"math-tex\">$AC=R\\sqrt{2}$<\/span>.<\/p><p>V\u1ebd \u0111\u01b0\u1eddng cao AH ta \u0111\u01b0\u1ee3c <span class=\"math-tex\">$AH=AC.\\sin C=R\\sqrt{2}\\sin15^0$<\/span>.<br \/>X&eacute;t tam gi&aacute;c vu&ocirc;ng HAB c&oacute;:&nbsp;<span class=\"math-tex\">$AB= AH:\\sin45^0=R\\sqrt{2}\\sin15^0:\\dfrac{1}{\\sqrt{2}}=2R\\sin15^0$<\/span>.<\/p><p>Di\u1ec7n t&iacute;ch tam gi&aacute;c ABC l&agrave;&nbsp;<span class=\"math-tex\">$S=\\dfrac{1}{2}.AH.BC=\\dfrac{1}{2}.R\\sqrt{2}\\sin15^0.R\\sqrt{3}=R^2\\dfrac{\\sqrt{6}}{2}\\sin15^0$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-04-07 14:34:39","option_type":"math","len":0}]}