Bài 10: Tiên đề Euclid. Tính chất của hai đường thẳng song song-Bài tập khó

Home Lớp 7 Toán lớp 7 - Sách kết nối tri thức Bài 10: Tiên đề Euclid. Tính chất của hai đường thẳng song songBài tập nâng cao

{"common":{"save":0,"post_id":"5688","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7150","post_id":"5688","mon_id":"1158532","chapter_id":"1158546","question":"Phát bi\u1ec3u nào sau \u0111ây di\u1ec5n t\u1ea3 \u0111úng n\u1ed9i dung Tiên \u0111\u1ec1 Euclid?<\/p>","options":["A. <\/strong>Qua \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng d, có ít nh\u1ea5t m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi d.","B. <\/strong>Cho \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng d. \u0110\u01b0\u1eddng th\u1eb3ng \u0111i qua M và song song v\u1edbi d là duy nh\u1ea5t.","C. <\/strong>Có duy nh\u1ea5t m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng cho tr\u01b0\u1edbc.","D. <\/strong>Qua \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng d, có vô s\u1ed1 \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi d."],"correct":"2","level":"3","hint":"Tiên \u0111\u1ec1 Euclid: "Qua m\u1ed9t \u0111i\u1ec3m \u1edf ngoài m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng, ch\u1ec9 có m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng \u0111ó."<\/p>","answer":"A. <\/strong>Qua \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng d, có ít nh\u1ea5t<\/span> m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi d.      Sai<\/p>B. <\/strong>Cho \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng d. \u0110\u01b0\u1eddng th\u1eb3ng \u0111i qua M và song song v\u1edbi d là duy nh\u1ea5t.        \u0110úng<\/p>C. <\/strong>Có duy nh\u1ea5t<\/span> m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng cho tr\u01b0\u1edbc.                      Sai<\/p>D. <\/strong>Qua \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng d, có vô s\u1ed1<\/span> \u0111\u01b0\u1eddng th\u1eb3ng song song v\u1edbi d.             Sai<\/p>\u0110áp án \u0111úng là  B. <\/strong>Cho \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng d. \u0110\u01b0\u1eddng th\u1eb3ng \u0111i qua M và song song v\u1edbi d là duy nh\u1ea5t.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-19 13:26:29","option_type":"txt","len":3},{"id":"7152","post_id":"5688","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft $\\widehat{tAM}=\\widehat{tBN}=62^0$<\/span>, $\\widehat{x’MN}=75^0$<\/span>. S\u1ed1 \u0111o góc $\\widehat{MNB}\\space$<\/span> là<\/p><svg height=\"220\" width=\"270\"> <g><title><\/title><rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"272\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_17\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"59\" y2=\"59.44375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"139\" y2=\"139.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(-62 81.10000610351564,104.22187805175781) \" x1=\"-33.9\" x2=\"196.1\" y1=\"104\" y2=\"104.44375\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(75 197.04998779296872,106.22187805175781) \" x1=\"92.1\" x2=\"302\" y1=\"106\" y2=\"106.44375\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"19.1\" xml:space=\"preserve\" y=\"47.44375\">x<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"238.1\" xml:space=\"preserve\" y=\"47.44375\">x'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"18.1\" xml:space=\"preserve\" y=\"132.44375\">y<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"253.1\" xml:space=\"preserve\" y=\"128.44375\">y'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"113.1\" xml:space=\"preserve\" y=\"19.44375\">t<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"39.1\" xml:space=\"preserve\" y=\"215.44375\">t'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"184.1\" xml:space=\"preserve\" y=\"19.44375\">z<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"234.1\" xml:space=\"preserve\" y=\"196.44375\">z'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"101.1\" xml:space=\"preserve\" y=\"80.44375\">A<\/text> <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=\"61.1\" xml:space=\"preserve\" y=\"164.44375\">B<\/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=\"183.1\" xml:space=\"preserve\" y=\"52.44375\">M<\/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=\"208.1\" xml:space=\"preserve\" y=\"133.44375\">N<\/text> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <\/g> <\/svg><\/span><\/p>","options":["105°","180°","75°","62°"],"correct":"3","level":"3","hint":"N\u1ebfu \u0111\u01b0\u1eddng th\u1eb3ng c c\u1eaft hai \u0111\u01b0\u1eddng th\u1eb3ng a, b và trong các góc t\u1ea1o thành có m\u1ed9t c\u1eb7p góc so le trong b\u1eb1ng nhau ho\u1eb7c m\u1ed9t c\u1eb7p góc \u0111\u1ed3ng v\u1ecb b\u1eb1ng nhau thì a và b song song v\u1edbi nhau<\/span> (kí hi\u1ec7u là a\/\/b) N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft hai \u0111\u01b0\u1eddng th\u1eb3ng song song thì hai góc so le trong b\u1eb1ng nhau<\/span>.<\/p>","answer":"+) Xét hai \u0111\u01b0\u1eddng th\u1eb3ng xx' và yy' b\u1ecb c\u1eaft b\u1edfi \u0111\u01b0\u1eddng th\u1eb3ng tt', có hai góc \u1edf v\u1ecb trí \u0111\u1ed3ng v\u1ecb b\u1eb1ng nhau là $\\widehat{tAM}=\\widehat{tBN}=62^0$<\/span>, suy ra xx' \/\/ yy'.<\/p><svg height=\"220\" width=\"270\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"272\" 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> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"59\" y2=\"59.44375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"139\" y2=\"139.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(-62 81.10000610351564,104.22187805175781) \" x1=\"-33.9\" x2=\"196.1\" y1=\"104\" y2=\"104.44375\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(75 197.0500030517578,106.22187805175783) \" x1=\"92.1\" x2=\"302\" y1=\"106\" y2=\"106.44375\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"19.1\" xml:space=\"preserve\" y=\"47.44375\">x<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"238.1\" xml:space=\"preserve\" y=\"47.44375\">x'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"18.1\" xml:space=\"preserve\" y=\"132.44375\">y<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"253.1\" xml:space=\"preserve\" y=\"128.44375\">y'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"113.1\" xml:space=\"preserve\" y=\"19.44375\">t<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"39.1\" xml:space=\"preserve\" y=\"215.44375\">t'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"184.1\" xml:space=\"preserve\" y=\"19.44375\">z<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"234.1\" xml:space=\"preserve\" y=\"196.44375\">z'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"99.1\" xml:space=\"preserve\" y=\"80.44375\">A<\/text> <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=\"61.1\" xml:space=\"preserve\" y=\"164.44375\">B<\/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=\"166.1\" xml:space=\"preserve\" y=\"82.44375\">M<\/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=\"188.1\" xml:space=\"preserve\" y=\"163.44375\">N<\/text> <path d=\"m111.35697,36.16997c3.61514,36.25483 22.29334,10.15135 22.23309,9.50783\" fill=\"none\" fill-opacity=\"null\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-153 122.47358703613281,45.76950073242187) \"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" style=\"vector-effect: non-scaling-stroke;\"><\/path> <path d=\"m71.35697,115.16997c3.61514,36.25483 22.29335,10.15135 22.23309,9.50783\" fill=\"none\" fill-opacity=\"null\" id=\"svg_26\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-153 82.47358703613281,124.7695007324219) \"><\/path> <path d=\"m190.79822,60.09663c4.04125,36.25483 24.92104,10.15135 24.85368,9.50783\" fill=\"none\" fill-opacity=\"null\" id=\"svg_27\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-60 203.2251434326172,69.69615936279295) \"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_28\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"204.1\" x2=\"213.1\" y1=\"72.44375\" y2=\"82.44375\"><\/line> <\/g> <\/svg><\/span><\/p>+) Xét hai \u0111\u01b0\u1eddng th\u1eb3ng xx' và yy' b\u1ecb c\u1eaft b\u1edfi \u0111\u01b0\u1eddng th\u1eb3ng zz':<\/p>Vì xx' \/\/ yy' nên $\\widehat{MNB}=\\widehat{x’MN}=75^0$<\/span> (hai góc \u1edf v\u1ecb trí so le trong)<\/p>S\u1ed1 \u0111o c\u1ee7a góc MNB là 75°.<\/p>\u0110áp án \u0111úng là  75°<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-19 13:56:28","option_type":"txt","len":0},{"id":"7153","post_id":"5688","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft $\\widehat{xAB}=\\widehat{ABN}=55^0$<\/span>, $\\widehat{BNz’}=100^0$<\/span>. S\u1ed1 \u0111o góc $\\widehat{AMN}\\space$<\/span> là<\/p>  <svg height=\"220\" width=\"270\"> <g><title><\/title><rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"272\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_17\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"59\" y2=\"59.44375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"139\" y2=\"139.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(-62 81.10000610351564,104.22187805175781) \" x1=\"-33.9\" x2=\"196.1\" y1=\"104\" y2=\"104.44375\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(75 197.04998779296872,106.22187805175781) \" x1=\"92.1\" x2=\"302\" y1=\"106\" y2=\"106.44375\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"19.1\" xml:space=\"preserve\" y=\"47.44375\">x<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"238.1\" xml:space=\"preserve\" y=\"47.44375\">x'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"18.1\" xml:space=\"preserve\" y=\"132.44375\">y<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"253.1\" xml:space=\"preserve\" y=\"128.44375\">y'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"113.1\" xml:space=\"preserve\" y=\"19.44375\">t<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"39.1\" xml:space=\"preserve\" y=\"215.44375\">t'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"184.1\" xml:space=\"preserve\" y=\"19.44375\">z<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"234.1\" xml:space=\"preserve\" y=\"196.44375\">z'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"101.1\" xml:space=\"preserve\" y=\"80.44375\">A<\/text> <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=\"61.1\" xml:space=\"preserve\" y=\"164.44375\">B<\/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=\"183.1\" xml:space=\"preserve\" y=\"52.44375\">M<\/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=\"208.1\" xml:space=\"preserve\" y=\"133.44375\">N<\/text> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <\/g> <\/svg><\/span><\/p>","options":["100°","180°","80°","55°"],"correct":"1","level":"3","hint":"N\u1ebfu \u0111\u01b0\u1eddng th\u1eb3ng c c\u1eaft hai \u0111\u01b0\u1eddng th\u1eb3ng a, b và trong các góc t\u1ea1o thành có m\u1ed9t c\u1eb7p góc so le trong b\u1eb1ng nhau<\/span> ho\u1eb7c m\u1ed9t c\u1eb7p góc \u0111\u1ed3ng v\u1ecb b\u1eb1ng nhau thì a và b song song v\u1edbi nhau<\/span> (kí hi\u1ec7u là a\/\/b) N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft hai \u0111\u01b0\u1eddng th\u1eb3ng song song thì hai góc \u0111\u1ed3ng v\u1ecb b\u1eb1ng nhau<\/span>.<\/p>","answer":"+) Xét hai \u0111\u01b0\u1eddng th\u1eb3ng xx' và yy' b\u1ecb c\u1eaft b\u1edfi \u0111\u01b0\u1eddng th\u1eb3ng tt', có hai góc \u1edf v\u1ecb trí so le trong b\u1eb1ng nhau là $\\widehat{xAB}=\\widehat{ABN}=55^0$<\/span>, suy ra xx' \/\/ yy'.<\/p><svg height=\"220\" width=\"270\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"272\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_17\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g> <title><\/title> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"59\" y2=\"59.44375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"20.1\" x2=\"250.1\" y1=\"139\" y2=\"139.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(-62 81.10000610351564,104.22187805175781) \" x1=\"-33.9\" x2=\"196.1\" y1=\"104\" y2=\"104.44375\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(75 197.04998779296872,106.22187805175781) \" x1=\"92.1\" x2=\"302\" y1=\"106\" y2=\"106.44375\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"19.1\" xml:space=\"preserve\" y=\"47.44375\">x<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"238.1\" xml:space=\"preserve\" y=\"47.44375\">x'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"18.1\" xml:space=\"preserve\" y=\"132.44375\">y<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"253.1\" xml:space=\"preserve\" y=\"128.44375\">y'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"113.1\" xml:space=\"preserve\" y=\"19.44375\">t<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"39.1\" xml:space=\"preserve\" y=\"215.44375\">t'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"184.1\" xml:space=\"preserve\" y=\"19.44375\">z<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"234.1\" xml:space=\"preserve\" y=\"196.44375\">z'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"101.1\" xml:space=\"preserve\" y=\"80.44375\">A<\/text> <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=\"61.1\" xml:space=\"preserve\" y=\"164.44375\">B<\/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=\"183.1\" xml:space=\"preserve\" y=\"52.44375\">M<\/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=\"208.1\" xml:space=\"preserve\" y=\"133.44375\">N<\/text> <path d=\"m78.47515,62.43842c3.61514,26.95275 22.29334,7.54677 22.23309,7.06836\" fill=\"none\" fill-opacity=\"null\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(27 89.5917663574219,69.57495117187501) \"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m70.23879,119.82752c3.61514,26.95275 22.29335,7.54677 22.23309,7.06836\" fill=\"none\" fill-opacity=\"null\" id=\"svg_26\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-153 81.35540771484375,126.96404266357422) \"><\/path> <g id=\"svg_18\" stroke=\"null\" transform=\"rotate(80 194.1560363769531,148.9547576904297) \"> <path d=\"m182.63111,153.9826c31.56681,16.37126 20.07447,-18.47423 19.51622,-18.76905\" fill=\"none\" fill-opacity=\"null\" id=\"svg_27\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_28\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"197.17958\" x2=\"205.68097\" y1=\"151.50393\" y2=\"162.69597\"><\/line> <\/g> <\/g> <\/svg><\/span><\/p>+) Xét hai \u0111\u01b0\u1eddng th\u1eb3ng xx' và yy' b\u1ecb c\u1eaft b\u1edfi \u0111\u01b0\u1eddng th\u1eb3ng zz': Vì xx' \/\/ yy' nên $\\widehat{AMN}=\\widehat{BNz’}=100^0$<\/span> (hai góc \u1edf v\u1ecb trí \u0111\u1ed3ng v\u1ecb) S\u1ed1 \u0111o c\u1ee7a góc $\\widehat{AMN}\\space$<\/span> là 100°. \u0110áp án \u0111úng là  100°<\/span>.<\/p>","type":"choose","extra_type":"star","time":"0","user_id":"131","test":"1","date":"2022-04-19 13:57:45","option_type":"txt","len":0}]}