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HomeLớp 7Toán lớp 7 - Sách kết nối tri thứcBài 15: Các trường hợp bằng nhau của tam giác vuông.Bài tập nâng cao
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Ch\u1ecdn k\u1ebft lu\u1eadn \u0111úng.<\/p><p><span class=\"svgedit\"><svg height=\"120\" width=\"220\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"122\" id=\"canvas_background\" width=\"222\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_1\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_12\"> <image height=\"146\" id=\"svg_6\" width=\"211\" x=\"5.5\" xlink:href=\"data:image\/png;base64,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y=\"6\"><\/image> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"13\" id=\"svg_7\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"41\" xml:space=\"preserve\" y=\"17.5\">M<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"13\" id=\"svg_8\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"5\" xml:space=\"preserve\" y=\"103.5\">Q<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"13\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"168\" xml:space=\"preserve\" y=\"17.5\">N<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"13\" id=\"svg_10\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"203\" xml:space=\"preserve\" y=\"105.5\">P<\/text> <\/g> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"14\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"107\" xml:space=\"preserve\" y=\"44.25\">H<\/text> <\/g> <\/svg><\/span><\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\triangle MHQ = \\triangle NPH$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\triangle MHQ = \\triangle PNH$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\triangle MHQ = \\triangle PHN$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\triangle MHQ = \\triangle NHP$<\/span>"],"correct":"4","level":"3","hint":"<p>N\u1ebfu m\u1ed9t c\u1ea1nh góc vuông và góc nh\u1ecdn k\u1ec1 c\u1ea1nh \u1ea5y c\u1ee7a tam giác vuông này b\u1eb1ng m\u1ed9t c\u1ea1nh góc vuông và góc nh\u1ecdn k\u1ec1 c\u1ea1nh \u1ea5y c\u1ee7a tam giác vuông kia thì hai tam giác vuông \u0111ó b\u1eb1ng nhau.<\/p>","answer":"<p>Xét tam giác MHQ vuông t\u1ea1i M có <span class=\"math-tex\">$\\widehat{Q}+\\widehat{MHQ}=90^0$<\/span> ⇒ <span class=\"math-tex\">$\\widehat{Q}=90^0-\\widehat{MHQ}$<\/span><\/p><p>Xét tam giác NHP vuông t\u1ea1i N có <span class=\"math-tex\">$\\widehat{P}+\\widehat{NHP}=90^0$<\/span> ⇒ <span class=\"math-tex\">$\\widehat{P}=90^0-\\widehat{NHP}$<\/span><\/p><p>Mà <span class=\"math-tex\">$\\widehat{MHQ}=\\widehat{NHP}$<\/span> (hai góc \u0111\u1ed1i \u0111\u1ec9nh) ⇒ <span class=\"math-tex\">$\\widehat{Q}=\\widehat{P}$<\/span> <\/p><p>Xét tam giác MHQ và tam giác NHP có<\/p><p><span class=\"math-tex\">$\\widehat{M}=\\widehat{N}$<\/span> = 90º<\/p><p>MQ = NP (gi\u1ea3 thi\u1ebft)<\/p><p><span class=\"math-tex\">$\\widehat{Q}=\\widehat{P}$<\/span> (ch\u1ee9ng minh trên)<\/p><p>Suy ra <span class=\"math-tex\">$\\triangle MHQ = \\triangle NHP$<\/span> (c\u1ea1nh góc vuông - góc nh\u1ecdn k\u1ec1)<\/p><p>\u0110áp án \u0111úng là <span style=\"color:#16a085;\"><strong>D.<\/strong> <span class=\"math-tex\">$\\triangle MHQ = \\triangle NHP$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-24 11:07:09","option_type":"math","len":0},{"id":"7398","post_id":"5703","mon_id":"1158532","chapter_id":"1158548","question":"<p>Cho hình ch\u1eef nh\u1eadt MNPQ có H là trung \u0111i\u1ec3m c\u1ee7a PQ. Bi\u1ebft MH = 20 cm, MN = 32 cm , MQ = 12 cm. Tính \u0111\u1ed9 dài c\u1ea1nh NH.<\/p><p>\u0110áp s\u1ed1: NH = <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/><\/p>","options":"","correct":["[\"20\"]"],"level":"3","hint":"<p>N\u1ebfu hai c\u1ea1nh góc vuông c\u1ee7a tam giác vuông này l\u1ea7n l\u01b0\u1ee3t b\u1eb1ng hai c\u1ea1nh góc vuông c\u1ee7a tam giác vuông kia thì hai tam giác vuông \u0111ó b\u1eb1ng nhau.<\/p>","answer":"<p><span class=\"svgedit\"><svg height=\"110\" width=\"240\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"112\" id=\"canvas_background\" width=\"242\" 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><title><\/title><image height=\"100\" id=\"svg_1\" width=\"231\" x=\"3.5\" xlink:href=\"data:image\/png;base64,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\" y=\"7\"><\/image> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"63\" x2=\"56\" y1=\"87\" y2=\"99\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"181\" x2=\"172\" y1=\"88\" y2=\"99\"><\/line> <\/g> <\/svg><\/span><\/p><p>Xét tam giác MQH và tam giác NPH có<\/p><p><span class=\"math-tex\">$\\widehat{Q}=\\widehat{P}$<\/span> = 90º<\/p><p>QH = PH (vì H là trung \u0111i\u1ec3m c\u1ee7a PQ)<\/p><p>MQ = NP (vì t\u1ee9 giác MNPQ là hình ch\u1eef nh\u1eadt)<\/p><p>Suy ra <span class=\"math-tex\">$\\triangle MQH = \\triangle NPH$<\/span> (hai c\u1ea1nh góc vuông)<\/p><p>Do \u0111ó MH = NH (hai c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng) ⇒ NH = 20<\/p><p>S\u1ed1 c\u1ea7n \u0111i\u1ec1n là <span style=\"color:#16a085;\">20<\/span><\/p>","type":"blank","extra_type":"","time":"0","user_id":"131","test":"1","date":"2022-04-24 11:24:21"},{"id":"7401","post_id":"5703","mon_id":"1158532","chapter_id":"1158548","question":"<p>Cho hình ch\u1eef nh\u1eadt MNPQ có H là trung \u0111i\u1ec3m c\u1ee7a PQ. Bi\u1ebft MH = 20 cm, MN = 32 cm , MQ = 12 cm. Tính chu vi tam giác MHN.<\/p><p>\u0110áp s\u1ed1: Chu vi tam giác MHN là <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> cm.<\/p>","options":"","correct":["[\"72\"]"],"level":"3","hint":"<p>N\u1ebfu hai c\u1ea1nh góc vuông c\u1ee7a tam giác vuông này l\u1ea7n l\u01b0\u1ee3t b\u1eb1ng hai c\u1ea1nh góc vuông c\u1ee7a tam giác vuông kia thì hai tam giác vuông \u0111ó b\u1eb1ng nhau.<\/p>","answer":"<p><span class=\"svgedit\"><svg height=\"110\" width=\"240\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"112\" id=\"canvas_background\" width=\"242\" 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><title><\/title><image height=\"100\" id=\"svg_1\" width=\"231\" x=\"4.5\" xlink:href=\"data:image\/png;base64,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\" y=\"7\"><\/image> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"67\" x2=\"58\" y1=\"89\" y2=\"99\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"172\" x2=\"161\" y1=\"88\" y2=\"99\"><\/line> <\/g> <\/svg><\/span><\/p><p>Xét tam giác MQH và tam giác NPH có<\/p><p><span class=\"math-tex\">$\\widehat{Q}=\\widehat{P}$<\/span> = 90º<\/p><p>QH = PH (vì H là trung \u0111i\u1ec3m c\u1ee7a PQ)<\/p><p>MQ = NP (vì t\u1ee9 giác MNPQ là hình ch\u1eef nh\u1eadt)<\/p><p>Suy ra <span class=\"math-tex\">$\\triangle MQH = \\triangle NPH$<\/span> (hai c\u1ea1nh góc vuông)<\/p><p>Do \u0111ó MH = NH (hai c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng) ⇒ NH = 20<\/p><p>Chu vi tam giác MNH là <\/p><p>MN + NH + HM = 32 + 20 + 20 = 72 (cm)<\/p><p>S\u1ed1 c\u1ea7n \u0111i\u1ec1n là <span style=\"color:#16a085;\">72<\/span><\/p>","type":"blank","extra_type":"","time":"0","user_id":"131","test":"1","date":"2022-04-24 11:29:52"}]}