Tiên đề Euclid. Tính chất của hai đường thẳng song song

Home Toán lớp 7 - tập 1 Góc và đường thẳng song song Bài 10: Tiên đề Euclid. Tính chất của hai đường thẳng song songBài tập trung bình

{"common":{"save":0,"post_id":"5687","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7079","post_id":"5687","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft a \/\/ b và $\\widehat{M_1}=62^0$<\/span>. S\u1ed1 \u0111o c\u1ee7a $\\widehat{N_2}$<\/span>  là<\/p><svg height=\"190\" width=\"200\"> <g><title><\/title><rect fill=\"#fff\" height=\"192\" 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><line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 137.80625915527347,98.21875762939455) \" x1=\"44.30626\" x2=\"231.30626\" y1=\"98.43751\" y2=\"98.00001\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 65.80625915527344,98.21875762939455) \" x1=\"-27.69374\" x2=\"159.30626\" y1=\"98.43751\" y2=\"98.00001\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(152 96.80625915527344,98.21875762939455) \" x1=\"3.30626\" x2=\"190.30626\" y1=\"98.43751\" y2=\"98.00001\"><\/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=\"143.30625\" xml:space=\"preserve\" y=\"20.4375\">a<\/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=\"46.30625\" xml:space=\"preserve\" y=\"22.4375\">b<\/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=\"4.30625\" xml:space=\"preserve\" y=\"137.4375\">c<\/text> <path d=\"m136.30625,58.4375c25,-15 17,16 15.69375,10.5625\" fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m66.30625,94.4375c25,-15 17,16 15.69375,10.5625\" fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <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=\"142.30625\" xml:space=\"preserve\" y=\"101.4375\">M<\/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=\"44.30625\" xml:space=\"preserve\" y=\"145.4375\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"68.30625\" xml:space=\"preserve\" y=\"106.4375\">1<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"142.30625\" xml:space=\"preserve\" y=\"68.4375\">1<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"74.30625\" xml:space=\"preserve\" y=\"131.4375\">2<\/text> <\/g> <\/svg><\/span>  <\/p>","options":["118°","63°","62°","60°"],"correct":"1","level":"2","hint":"$\\widehat{N_1}$<\/span>  và $\\widehat{M_1}$<\/span> là hai góc \u0111\u1ed3ng v\u1ecb.<\/p>$\\widehat{N_1}$<\/span>  và $\\widehat{N_2}$<\/span>  là hai góc k\u1ec1 bù.<\/p>","answer":"Vì a \/\/ b nên $\\widehat{N_1}=\\widehat{M_1}=62^0$<\/span> (hai góc \u1edf v\u1ecb trí \u0111\u1ed3ng v\u1ecb).<\/p>Vì $\\widehat{N_1}$<\/span> và $\\widehat{N_2}$<\/span> là hai góc k\u1ec1 bù nên $\\widehat{N_1}+\\widehat{N_2}=180^0$<\/span><\/p>Suy ra $62^0+\\widehat{N_2}=180^0$<\/span> <\/p>                     $\\widehat{N_2}=180^0-62^0=118^0$<\/span><\/p>S\u1ed1 \u0111o góc $\\widehat{N_2}$<\/span> là 118°. <\/p>\u0110áp án \u0111úng là  118°.<\/span> <\/p>","type":"choose","extra_type":"flower","time":"0","user_id":"131","test":"1","date":"2022-04-12 10:25:26","option_type":"txt","len":0},{"id":"7127","post_id":"5687","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft m &perp; a và m \/\/ n. Khi \u0111ó <\/p><svg height=\"150\" width=\"230\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"232\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_11\" 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=\"3.30625\" x2=\"189.30625\" y1=\"37.8375\" y2=\"37.8375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"3.30625\" x2=\"189.30625\" y1=\"88.8375\" y2=\"88.8375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 47.65312957763671,82.83750152587892) \" x1=\"-34.69375\" x2=\"130\" y1=\"82.8375\" y2=\"82.8375\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"173.30625\" xml:space=\"preserve\" y=\"26.8375\">m<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"177.30625\" xml:space=\"preserve\" y=\"81.8375\">n<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"59.30625\" xml:space=\"preserve\" y=\"147.8375\">a<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"50.30625\" xml:space=\"preserve\" y=\"32.8375\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"50.30625\" xml:space=\"preserve\" y=\"82.8375\">B<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"33.30625\" xml:space=\"preserve\" y=\"33.8375\">1<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_10\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"48.30625\" xml:space=\"preserve\" y=\"103.8375\">1<\/text> <\/g> <\/svg><\/span><\/p>","options":["A. <\/strong>n song song v\u1edbi a","B. <\/strong>n vuông góc v\u1edbi a","C. <\/strong>n không c\u1eaft a"],"correct":"2","level":"2","hint":"N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng vuông góc v\u1edbi m\u1ed9t trong hai \u0111\u01b0\u1eddng th\u1eb3ng song song thì nó c\u0169ng vuông góc v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng kia.<\/p>","answer":"Vì \u0111\u01b0\u1eddng th\u1eb3ng a vuông góc v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng m (m &perp; a) mà hai \u0111\u01b0\u1eddng th\u1eb3ng m và n song song v\u1edbi nhau (m \/\/ n) nên a c\u0169ng vuông góc v\u1edbi n.<\/p>\u0110áp án \u0111úng là B. <\/strong>n vuông góc v\u1edbi a<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-16 09:14:29","option_type":"txt","len":2},{"id":"7132","post_id":"5687","mon_id":"1158532","chapter_id":"1158546","question":"Ch\u1ecdn t\u1eeb thích h\u1ee3p \u0111i\u1ec1n vào ch\u1ed7 ch\u1ea5m:<\/p>N\u1ebfu \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng a thì \u0111\u01b0\u1eddng th\u1eb3ng b \u0111i qua M và song song v\u1edbi a là ...<\/p>","options":["A.<\/strong> vô s\u1ed1","B.<\/strong> duy nh\u1ea5t","C.<\/strong> không t\u1ed3n t\u1ea1i"],"correct":"2","level":"2","hint":"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":"N\u1ebfu \u0111i\u1ec3m M n\u1eb1m ngoài \u0111\u01b0\u1eddng th\u1eb3ng a thì \u0111\u01b0\u1eddng th\u1eb3ng b \u0111i qua M và song song v\u1edbi a là duy nh\u1ea5t.<\/span><\/p>\u0110áp án \u0111úng là  B.<\/strong> duy nh\u1ea5t<\/span><\/p><svg height=\"100\" width=\"250\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"102\" id=\"canvas_background\" width=\"252\" 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=\"16.30625\" x2=\"242.30625\" y1=\"32\" y2=\"32\"><\/line> <ellipse cx=\"45.30625\" cy=\"82.8375\" fill=\"#ff0000\" id=\"svg_2\" rx=\"4\" ry=\"4\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"15.30625\" x2=\"241.30625\" y1=\"84\" y2=\"84\"><\/line> <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=\"219.30625\" xml:space=\"preserve\" y=\"28.8375\">a<\/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=\"223.30625\" xml:space=\"preserve\" y=\"73.8375\">b<\/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=\"29.30625\" xml:space=\"preserve\" y=\"68.8375\">M<\/text> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-16 09:31:34","option_type":"txt","len":2}]}