Ôn tập chương 3: Góc và đường thẳng song song

Home Toán lớp 7 - tập 1 Góc và đường thẳng song song Ôn tập chương 3: Góc và đường thẳng song songBài tập nâng cao

{"common":{"save":0,"post_id":"5760","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7320","post_id":"5760","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft Ay, Am l\u1ea7n l\u01b0\u1ee3t là tia phân giác c\u1ee7a góc xAt và góc yAt, $\\widehat{xAt}=128^0$<\/span>. Tính s\u1ed1 \u0111o góc mAt.<\/p><svg height=\"170\" width=\"280\"> <g><title><\/title><rect fill=\"#fff\" height=\"172\" id=\"canvas_background\" width=\"282\" 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><g id=\"svg_4\" transform=\"rotate(50 140.10000610351562,83.4437484741211) \"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"8.1\" x2=\"184.1\" y1=\"159.44375\" y2=\"159.44375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(120 228.10000610351562,82.4437484741211) \" x1=\"140.1\" x2=\"316.1\" y1=\"82.44375\" y2=\"82.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(60 140.10000610351562,84.44375610351561) \" x1=\"52.1\" x2=\"228.1\" y1=\"84.44375\" y2=\"84.44375\"><\/line> <\/g> <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=\"257.1\" xml:space=\"preserve\" y=\"129.44375\">x<\/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=\"173.1\" xml:space=\"preserve\" y=\"32.44375\">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=\"19.1\" xml:space=\"preserve\" y=\"40.44375\">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=\"72.1\" xml:space=\"preserve\" y=\"164.44375\">A<\/text> <line fill=\"none\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"86.1\" x2=\"109.1\" y1=\"1.44375\" y2=\"167.44375\"><\/line> <path d=\"m125.27606,119.20777c-15.82942,-15.51695 -20.35211,7.75847 -20.35211,7.75847\" fill=\"none\" fill-opacity=\"null\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(37 115.09999847412107,120.42002868652342) \"><\/path> <path d=\"m103.27606,124.20777c-15.82943,-15.51695 -20.35212,7.75847 -20.35212,7.75847\" fill=\"none\" fill-opacity=\"null\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-30 93.10000610351562,125.42002868652341) \"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_16\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"117.1\" x2=\"113.1\" y1=\"107.44375\" y2=\"120.44375\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_19\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"84.1\" x2=\"94.1\" y1=\"114.44375\" y2=\"126.44375\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"63.1\" xml:space=\"preserve\" y=\"22.44375\">m<\/text> <\/g> <\/svg><\/span><\/p>","options":["32°","64°","128°","180°"],"correct":"1","level":"3","hint":"","answer":"Vì Ay là tia phân giác c\u1ee7a góc xAt nên $\\widehat{yAt}=\\widehat{yAx}=\\dfrac{1}{2}.\\widehat{xAt}=\\dfrac{1}{2}.128^0=64^0$<\/span>.<\/p>Vì Am là tia phân giác c\u1ee7a góc yAt nên $\\widehat{mAt}=\\widehat{mAy}=\\dfrac{1}{2}.\\widehat{yAt}=\\dfrac{1}{2}.64^0=32^0$<\/span>.<\/p>S\u1ed1 \u0111o góc mAt là 32°<\/strong>.<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"3","date":"2022-04-23 08:52:10","option_type":"txt","len":0},{"id":"7371","post_id":"5760","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft xy \/\/ zt và $\\widehat{tBm}=65^0$<\/span>. S\u1ed1 \u0111o c\u1ee7a góc xAm là<\/p><svg height=\"150\" width=\"240\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"242\" 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\" transform=\"rotate(30 54.95000076293946,79.1187515258789) \" x1=\"55\" x2=\"54.9\" y1=\"11.2375\" y2=\"147\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(30 168.95001220703128,79.1187515258789) \" x1=\"169\" x2=\"168.9\" y1=\"11.2375\" y2=\"147\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 135.94999694824222,83.61875152587892) \" x1=\"136\" x2=\"135.9\" y1=\"-0.7625\" y2=\"168\"><\/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=\"7.9\" xml:space=\"preserve\" y=\"130.2375\">x<\/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=\"61.9\" xml:space=\"preserve\" y=\"25.2375\">y<\/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=\"146.9\" xml:space=\"preserve\" y=\"139.2375\">z<\/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=\"208.9\" xml:space=\"preserve\" y=\"27.2375\">t<\/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=\"217.9\" xml:space=\"preserve\" y=\"97.2375\">m<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"32.9\" xml:space=\"preserve\" y=\"87.2375\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"150.9\" xml:space=\"preserve\" y=\"77.2375\">B<\/text> <path d=\"m43.9,97.2375c0,0 20,10 33.1,-13.2375\" fill=\"#fff\" id=\"svg_12\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <path fill=\"#fff\" id=\"svg_13\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <path d=\"m173.9,69.2375c2.7,4.5875 16.4,-1.825 8.1,13.7625\" fill=\"#fff\" fill-opacity=\"null\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"175.9\" x2=\"187.9\" y1=\"75.2375\" y2=\"70.2375\"><\/line> <\/g> <\/svg><\/span><\/p>","options":["120°","115°","65°","180°"],"correct":"2","level":"3","hint":"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.<\/p>","answer":"Vì xy \/\/ zt nên $\\widehat{yAm}=\\widehat{tBm}=65^0$<\/span> (hai góc \u0111\u1ed3ng v\u1ecb)<\/p>Vì $\\widehat{xAm}$<\/span> và $\\widehat{yAm}$<\/span> là hai góc k\u1ec1 bù nên<\/p>  $\\widehat{xAm}$<\/span> + $\\widehat{yAm}$<\/span> = 180°<\/p>  $\\widehat{xAm}$<\/span>             = 180° - $\\widehat{yAm}$<\/span><\/p>  $\\widehat{xAm}$<\/span>             = 180° - 65° = 115°<\/p>  $\\widehat{xAm}$<\/span>             = 115° <\/p>S\u1ed1 \u0111o góc xAm là 115°<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-24 03:25:05","option_type":"txt","len":0},{"id":"7374","post_id":"5760","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft $\\widehat{B_1}=72^0$<\/span>  và $\\widehat{M_2}=72^0$<\/span>. Ch\u1ecdn k\u1ebft lu\u1eadn \u0111úng.<\/p><svg height=\"180\" width=\"200\"> <g><title><\/title><rect fill=\"#fff\" height=\"182\" 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_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 100.9499969482422,43.61875152587891) \" x1=\"101\" x2=\"100.9\" y1=\"-41.7625\" y2=\"129\"><\/line> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 100.94999694824219,84.61875152587892) \" x1=\"101\" x2=\"100.9\" y1=\"-0.7625\" y2=\"170\"><\/line> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 100.94999694824217,138.61875915527347) \" x1=\"101\" x2=\"100.9\" y1=\"53.2375\" y2=\"224\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"106.9\" x2=\"107\" y1=\"42.2375\" y2=\"84.2375\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(30 91.94999694824227,112) \" x1=\"91.9\" x2=\"92\" y1=\"81\" y2=\"143\"><\/line> <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=\"172.9\" xml:space=\"preserve\" y=\"37.2375\">a<\/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=\"174.9\" xml:space=\"preserve\" y=\"105.2375\">b<\/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=\"172.9\" xml:space=\"preserve\" y=\"158.2375\">c<\/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=\"88.9\" xml:space=\"preserve\" y=\"38.2375\">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=\"85.9\" xml:space=\"preserve\" y=\"79.2375\">B<\/text> <rect fill=\"none\" fill-opacity=\"null\" height=\"8\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"8\" x=\"106.9\" y=\"76.2375\"><\/rect> <rect fill=\"none\" fill-opacity=\"null\" height=\"8\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"8\" x=\"106.9\" y=\"43.2375\"><\/rect> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"89.9\" xml:space=\"preserve\" y=\"98.2375\">1<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"85.9\" xml:space=\"preserve\" y=\"135.2375\">2<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_21\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"56.9\" xml:space=\"preserve\" y=\"159.2375\">M<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> a \/\/ b","B.<\/strong> b \/\/c","C.<\/strong> c \/\/ a","D.<\/strong> C\u1ea3 A, B và C \u0111\u1ec1u \u0111úng"],"correct":"4","level":"3","hint":"N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c c\u1eaft hai \u0111\u01b0\u1eddng th\u1eb3ng phân bi\u1ec7t a và b mà 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 song song v\u1edbi b (kí hi\u1ec7u a \/\/ b)<\/p>Hai \u0111\u01b0\u1eddng th\u1eb3ng phân bi\u1ec7t a và b cùng vuông góc v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng c thì a và b song song v\u1edbi nhau<\/p>Hai \u0111\u01b0\u1eddng th\u1eb3ng phân bi\u1ec7t a và b cùng song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng c thì a và b song song v\u1edbi nhau  <\/p>","answer":"A.<\/strong> a \/\/ b     \u0110úng vì a &perp; AB và b &perp; AB nên a \/\/ b<\/p>B.<\/strong> b \/\/c      \u0110úng vì $\\widehat{B_1}=\\widehat{M_2}=72^0$<\/span> mà hai góc này \u1edf v\u1ecb trí so le trong nên b \/\/ c<\/p>C.<\/strong> c \/\/ a     \u0110úng vì a \/\/ b và b \/\/ c nên a \/\/ c<\/p>\u0110áp án \u0111úng là  D.<\/strong> C\u1ea3 A, B và C \u0111\u1ec1u \u0111úng<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-24 03:43:04","option_type":"txt","len":2}]}