Trường hợp bằng nhau thứ hai và thứ ba của tam giác.

Home Lớp 7 Toán lớp 7 - Sách kết nối tri thức Bài 14: Trường hợp bằng nhau thứ hai và thứ ba của tam giác.Bài tập nâng cao

{"common":{"save":0,"post_id":"5700","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7151","post_id":"5700","mon_id":"1158532","chapter_id":"1158548","question":"Cho hình v\u1ebd. Ch\u1ecdn k\u1ebft lu\u1eadn \u0111úng.<\/p><svg height=\"120\" width=\"240\"> <g><title><\/title><rect fill=\"#fff\" height=\"122\" id=\"canvas_background\" width=\"242\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_2\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><path fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_23\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <g id=\"svg_29\"> <path d=\"m22.73,105.35708l38.6,-82l154.4,0l-38.6,82l-154.4,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"61\" x2=\"178\" y1=\"23.25\" y2=\"105.25\"><\/line> <path d=\"m97,22.25\" fill=\"none\" fill-opacity=\"null\" id=\"svg_14\" opacity=\"0.5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m158,90.25c-12,4 -7,16 -7,15.75\" fill=\"none\" fill-opacity=\"null\" id=\"svg_21\" opacity=\"0.5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m93,23.25c-12,4 -7,16 -7,15.75\" fill=\"none\" fill-opacity=\"null\" id=\"svg_28\" opacity=\"0.5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(180 88.98347473144531,31.126922607421875) \"><\/path> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_30\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"216\" xml:space=\"preserve\" y=\"24.25\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_31\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"48\" xml:space=\"preserve\" y=\"19.25\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_32\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"10\" xml:space=\"preserve\" y=\"111.25\">P<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_33\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"180\" xml:space=\"preserve\" y=\"111.25\">Q<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_34\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"138\" x2=\"134\" y1=\"14.25\" y2=\"29.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_35\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"98\" x2=\"94\" y1=\"98.25\" y2=\"113.25\"><\/line> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\triangle MNQ = \\triangle PQN$<\/span>","B. <\/strong>$\\triangle MNQ = \\triangle NQP$<\/span>","C.<\/strong> $\\triangle MNQ = \\triangle PNQ$<\/span>","D. <\/strong>$\\triangle MNQ = \\triangle QNP$<\/span>"],"correct":"1","level":"3","hint":"","answer":"Xét tam giác MNQ và tam giác NQP có<\/p>MN = QP (gi\u1ea3 thi\u1ebft)<\/p>$\\widehat{MNQ}=\\widehat{PQN}$<\/span> (gi\u1ea3 thi\u1ebft)  <\/p>QN là c\u1ea1nh chung<\/p>Suy ra   $\\triangle MNQ = \\triangle PQN$<\/span> (c.g.c)<\/p>\u0110áp án \u0111úng là   A.<\/strong> $\\triangle MNQ = \\triangle PQN$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-19 13:56:16","option_type":"math","len":0},{"id":"7154","post_id":"5700","mon_id":"1158532","chapter_id":"1158548","question":"Cho hình v\u1ebd, bi\u1ebft MN \/\/ PQ. Ch\u1ecdn k\u1ebft lu\u1eadn \u0111úng.<\/p><svg height=\"160\" width=\"200\"> <g><title><\/title><rect fill=\"#fff\" height=\"162\" id=\"canvas_background\" width=\"202\" 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><g id=\"svg_18\"> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"56\" x2=\"181\" y1=\"20.5\" y2=\"20.5\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"17\" x2=\"142\" y1=\"139.5\" y2=\"139.5\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"57\" x2=\"141\" y1=\"20.5\" y2=\"138.50001\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-width=\"1.5\" x1=\"180.00001\" x2=\"17\" y1=\"21.5\" y2=\"138.5\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"107\" x2=\"105\" y1=\"14.5\" y2=\"28.5\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"76\" x2=\"74\" y1=\"131.5\" y2=\"147.5\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_13\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"43\" xml:space=\"preserve\" y=\"20.5\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_14\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"184\" xml:space=\"preserve\" y=\"22.5\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_15\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"143\" xml:space=\"preserve\" y=\"143.5\">P<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_16\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"6\" xml:space=\"preserve\" y=\"149.5\">Q<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_17\" stroke=\"#000000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"107\" xml:space=\"preserve\" y=\"87.5\">H<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A. <\/strong>$\\triangle MNH=\\triangle PQH$<\/span>","B.<\/strong> $\\triangle MNH = \\triangle QPH$<\/span>","C. <\/strong>$\\triangle MNH = \\triangle QHP$<\/span>","D. <\/strong>$\\triangle MNH = \\triangle PHQ$<\/span>"],"correct":"1","level":"3","hint":"","answer":"Vì MN \/\/ PQ nên $\\widehat{M}=\\widehat{P}$<\/span>  (2 góc \u1edf v\u1ecb trí so sle trong)  ;  $\\widehat{N}=\\widehat{Q} $<\/span>  (2 góc \u1edf v\u1ecb trí so le trong) .<\/p>Xét tam giác MNH và tam giác QPH có<\/p>$\\widehat{M}=\\widehat{P}$<\/span>  (ch\u1ee9ng minh trên)<\/p>MN = PQ  (gi\u1ea3 thi\u1ebft)<\/p>$\\widehat{N}=\\widehat{Q} $<\/span>  (ch\u1ee9ng minh trên)<\/p>Suy ra   <\/strong>$\\triangle MNH=\\triangle PQH$<\/span>  (g.c.g)<\/p>\u0110áp án \u0111úng là   A. <\/strong>$\\triangle MNH=\\triangle PQH$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-19 14:14:54","option_type":"math","len":0},{"id":"7155","post_id":"5700","mon_id":"1158532","chapter_id":"1158548","question":"Cho hình v\u1ebd. Ch\u1ecdn câu \u0111úng.<\/p><svg height=\"160\" width=\"220\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"162\" id=\"canvas_background\" width=\"222\" 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><g id=\"svg_15\"> <image height=\"136\" id=\"svg_1\" stroke=\"null\" transform=\"rotate(-124 103.99999999999999,83.99999999999999) \" width=\"175\" x=\"16.5\" 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y=\"16\"><\/image> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"60\" x2=\"57\" y1=\"55.5\" y2=\"68.5\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"143\" x2=\"140\" y1=\"87.5\" y2=\"100.5\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"90\" x2=\"99\" y1=\"109.5\" y2=\"114.5\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"92\" x2=\"101\" y1=\"103.5\" y2=\"108.5\"><\/line> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"110\" x2=\"119\" y1=\"55.5\" y2=\"60.5\"><\/line> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"112\" x2=\"121\" y1=\"47.5\" y2=\"52.5\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2\" xml:space=\"preserve\" y=\"46.5\">E<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"62\" xml:space=\"preserve\" y=\"152.5\">G<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"95\" xml:space=\"preserve\" y=\"74.5\">H<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"136\" xml:space=\"preserve\" y=\"13.5\">K<\/text> <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=\"203\" xml:space=\"preserve\" y=\"115.5\">N<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\triangle EHG = \\triangle KNH$<\/span>","B. <\/strong>$\\triangle EHG = \\triangle NHK$<\/span>","C.<\/strong> $\\triangle EHG = \\triangle KHN$<\/span>","D.<\/strong> $\\triangle EHG = \\triangle NKH$<\/span>"],"correct":"2","level":"3","hint":"","answer":"Xét tam giác EHG và tam giác KHN có<\/p>EH = NH (gi\u1ea3 thi\u1ebft)<\/p>$\\widehat{EHG}=\\widehat{NHK}$<\/span> (2 góc \u0111\u1ed1i \u0111\u1ec9nh)<\/p>GH = KH (gi\u1ea3 thi\u1ebft)<\/p>Suy ra   <\/strong>$\\triangle EHG = \\triangle NHK$<\/span> (c.g.c)<\/p>\u0110áp án \u0111úng là   B. <\/strong>$\\triangle EHG = \\triangle NHK$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-19 14:29:26","option_type":"math","len":0}]}