{"save":1,"level":1,"time":"15","total":10,"point":5,"segment":[{"id":"10038","test_id":"679","question":"<p data-end=\"598\" data-start=\"349\">Cho hình v\u1ebd, có MA = NA và MB = NB. Có bao nhiêu kh\u1eb3ng \u0111\u1ecbnh <strong>\u0111úng <\/strong>trong các kh\u1eb3ng \u0111\u1ecbnh d\u01b0\u1edbi \u0111ây?<\/p><p data-end=\"598\" data-start=\"349\"><span class=\"svgedit\"><svg height=\"230\" width=\"220\"> <g>\\n<title><\/title>\\n<rect fill=\"#fff\" height=\"232\" id=\"canvas_background\" width=\"222\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_18\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>\\n<title><\/title>\\n<g id=\"svg_19\"> <g id=\"svg_13\" transform=\"rotate(90 109.00000000000001,117.06779479980469) \"> <g id=\"svg_6\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"2.5\" x1=\"108.99999\" x2=\"108.99999\" y1=\"34.45\" y2=\"157.45\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"2.5\" transform=\"rotate(30 61.168098449707095,117.06779479980466) \" x1=\"61.1681\" x2=\"61.1681\" y1=\"21.40401\" y2=\"212.73156\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"2.5\" transform=\"rotate(-30 157.16810607910148,117.06779479980469) \" x1=\"157.1681\" x2=\"157.1681\" y1=\"21.40401\" y2=\"212.73156\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"109.99999\" x2=\"12.99999\" y1=\"155.45\" y2=\"199.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"107.99999\" x2=\"204.99999\" y1=\"155.45\" y2=\"199.45\"><\/line> <\/g> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"49.99999\" x2=\"66.99999\" y1=\"106.45\" y2=\"126.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"149.99999\" x2=\"164.99999\" y1=\"127.45\" y2=\"114.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"52.99999\" x2=\"59.99999\" y1=\"170.45\" y2=\"186.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"57.99999\" x2=\"64.99999\" y1=\"167.45\" y2=\"183.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"149.99999\" x2=\"142.99999\" y1=\"166.45\" y2=\"178.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"2.5\" x1=\"154.99999\" x2=\"147.99999\" y1=\"168.45\" y2=\"180.45\"><\/line> <\/g> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"46.99999\" xml:space=\"preserve\" y=\"124.45\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"194.99999\" xml:space=\"preserve\" y=\"124.45\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"3.99999\" xml:space=\"preserve\" y=\"22.45\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"7.99999\" xml:space=\"preserve\" y=\"220.45\">N<\/text> <\/g> <\/g> <\/svg><\/span><\/p><p data-end=\"598\" data-start=\"349\">(1) \u2206MAB = \u2206NAB.<\/p><p data-end=\"598\" data-start=\"349\">(2) <span class=\"math-tex\">$\\widehat{AMB}=\\widehat{ANB}$<\/span>.<\/p><p data-end=\"598\" data-start=\"349\">(3) <span class=\"math-tex\">$\\widehat{ABM}=2\\widehat{ABN}$<\/span>.<\/p><p data-end=\"598\" data-start=\"349\">(4) Chu vi \u2206MAB b\u1eb1ng chu vi \u2206NAB.<\/p>","options":["<strong>A.<\/strong> 4","<strong>B.<\/strong> 3.","<strong>C.<\/strong> 2.","<p data-end=\"598\" data-start=\"349\"><strong>D.<\/strong> 1.<\/p>"],"correct":"2","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>B.<\/strong> 3.<\/span><\/p><p>• Xét \u2206MAB và \u2206NAB có:<\/p><p>MA = NA (gt)<\/p><p>MB = NB (gt)<\/p><p>AB là c\u1ea1nh chung<\/p><p>Suy ra \u2206MAB = \u2206NAB (c.c.c) → <span style=\"color:#16a085;\">(1) \u0111úng<\/span>.<\/p><p>• Vì \u2206MAB = \u2206NAB nên <span class=\"math-tex\">$\\widehat{AMB}=\\widehat{ANB}$<\/span> (hai góc t\u01b0\u01a1ng \u1ee9ng) → <span style=\"color:#16a085;\">(2) \u0111úng<\/span>.<\/p><p>• Vì \u2206MAB = \u2206NAB nên <span class=\"math-tex\">$\\widehat{ABM}=\\widehat{ABN}$<\/span> (hai góc t\u01b0\u01a1ng \u1ee9ng) → <span style=\"color:#c0392b;\">(3) sai<\/span>.<\/p><p>• Chu vi \u2206MAB là <span style=\"color:#8e44ad;\">MA<\/span> + <span style=\"color:#2980b9;\">MB<\/span> + AB; Chu vi \u2206NAB là <span style=\"color:#8e44ad;\">NA<\/span> + <span style=\"color:#2980b9;\">NB<\/span> + AB.<\/p><p>Mà <span style=\"color:#8e44ad;\">MA = NA<\/span>, <span style=\"color:#2980b9;\">MB = NB<\/span> nên chu vi \u2206MAB b\u1eb1ng chu vi \u2206NAB → (4) \u0111úng.<\/p><p>V\u1eady có 3 kh\u1eb3ng \u0111\u1ecbnh \u0111úng.<\/p>","type":"choose","user_id":"126","test":"1","date":"2025-08-03 11:56:21"},{"id":"10039","test_id":"679","question":"<p data-end=\"1030\" data-start=\"794\">Cho ΔABC và ΔMNP có <span class=\"math-tex\">$\\widehat{A}=\\widehat{M}=90^o$<\/span> và <span class=\"math-tex\">$\\widehat{B}=\\widehat{P}$<\/span>. C\u1ea7n thêm \u0111i\u1ec1u ki\u1ec7n gì \u0111\u1ec3 hai tam giác ΔABC và ΔMNP b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p c\u1ea1nh góc vuông - góc nh\u1ecdn k\u1ec1?<\/p>","options":["<strong>A.<\/strong> AB = MP.","<strong>B.<\/strong> AC = MP.","<strong>C.<\/strong> BC = NP.","<p data-end=\"1030\" data-start=\"794\"><strong>D. <\/strong>AB = MN.<\/p>"],"correct":"1","answer":"<p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> AB = MP.<\/span><\/p><p>• Vì ΔABC có <span class=\"math-tex\">$\\widehat{A}=90^o$<\/span> nên vuông t\u1ea1i A → góc nh\u1ecdn <span class=\"math-tex\">$\\widehat{B}$<\/span> k\u1ec1 v\u1edbi c\u1ea1nh góc vuông AB.<\/p><p>• Vì ΔMNP có <span class=\"math-tex\">$\\widehat{M}=90^o$<\/span> nên vuông t\u1ea1i M → góc nh\u1ecdn <span class=\"math-tex\">$\\widehat{P}$<\/span> k\u1ec1 v\u1edbi c\u1ea1nh góc vuông MP.<\/p><p>• Vì <span class=\"math-tex\">$\\widehat{B}=\\widehat{P}$<\/span> nên \u0111\u1ec3 hai tam giác ΔABC và ΔMNP b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p c\u1ea1nh góc vuông - góc nh\u1ecdn k\u1ec1 thì c\u1ea7n thêm \u0111i\u1ec1u ki\u1ec7n là <strong><span style=\"color:#16a085;\">AB = MP<\/span><\/strong>. <\/p><p><span class=\"svgedit\"><svg height=\"130\" width=\"360\"> <g>\\n<title><\/title>\\n<rect fill=\"#fff\" height=\"132\" id=\"canvas_background\" width=\"362\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_13\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>\\n<title><\/title>\\n<g id=\"svg_14\"> <path d=\"m19.81499,98.27274l0,-74l126.00001,74l-126.00001,0z\" fill=\"#d4aaff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <path d=\"m214.81499,98.27274l0,-73.99999l126.00001,73.99999l-126.00001,0z\" fill=\"#aaffaa\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.99999\" xml:space=\"preserve\" y=\"114.45\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.99999\" xml:space=\"preserve\" y=\"26.45\">B<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"138.99999\" xml:space=\"preserve\" y=\"119.45\">C<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"200.99999\" xml:space=\"preserve\" y=\"122.45\">M<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"200.99999\" xml:space=\"preserve\" y=\"24.45\">P<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"339.99999\" xml:space=\"preserve\" y=\"120.45\">N<\/text> <rect fill=\"#d4aaff\" height=\"9\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"9\" x=\"19.99999\" y=\"89.45\"><\/rect> <rect fill=\"#aaffaa\" height=\"9\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"9\" x=\"214.99999\" y=\"89.45\"><\/rect> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(59.1320686340332 30.999996185302727,40.05000305175782) \" x=\"26.99999\" xml:space=\"preserve\" y=\"48.45\">)<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(59.1320686340332 226,40.05000305175783) \" x=\"221.99999\" xml:space=\"preserve\" y=\"48.45\">)<\/text> <\/g> <line fill=\"none\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"11.99999\" x2=\"28.99999\" y1=\"72.45\" y2=\"65.45\"><\/line> <line fill=\"none\" id=\"svg_16\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"206.99999\" x2=\"221.99999\" y1=\"64.45\" y2=\"60.45\"><\/line> <\/g> <\/svg><\/span><\/p>","type":"choose","user_id":"126","test":"2","date":"2025-08-03 11:57:11"}]}