Góc ở vị trí đặc biệt. Tia phân giác của một góc

Home Toán lớp 7 - tập 1 Góc và đường thẳng song song Bài 8: Góc ở vị trí đặc biệt. Tia phân giác của một góc.Bài tập nâng cao

{"common":{"save":0,"post_id":"5678","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7047","post_id":"5678","mon_id":"1158532","chapter_id":"1158546","question":"Ch\u1ecdn câu \u0111úng v\u1ec1 hai góc:<\/p>","options":["A.<\/strong> Hai góc k\u1ec1 bù có t\u1ed5ng s\u1ed1 \u0111o là 190°.","B.<\/strong> Hai góc \u0111\u1ed1i \u0111\u1ec9nh thì b\u1eb1ng nhau","C.<\/strong> Hai góc \u0111\u1ed1i \u0111\u1ec9nh là hai góc k\u1ec1 nhau"],"correct":"2","level":"3","hint":"","answer":"A.<\/strong> Hai góc k\u1ec1 bù có t\u1ed5ng s\u1ed1 \u0111o là 190°<\/span> (Sai vì hai góc k\u1ec1 bù có t\u1ed5ng s\u1ed1 \u0111o là 180°)<\/p>B.<\/strong> Hai góc \u0111\u1ed1i \u0111\u1ec9nh thì b\u1eb1ng nhau (\u0110úng)<\/p>C.<\/strong> Hai góc \u0111\u1ed1i \u0111\u1ec9nh là hai góc k\u1ec1 nhau<\/span> (Sai vì hai góc \u0111\u1ed1i \u0111\u1ec9nh là hai góc mà m\u1ed7i c\u1ea1nh c\u1ee7a góc này là tia \u0111\u1ed1i c\u1ee7a m\u1ed9t c\u1ea1nh c\u1ee7a góc kia.)<\/p>\u0110áp án \u0111úng là B.<\/strong> Hai góc \u0111\u1ed1i \u0111\u1ec9nh thì b\u1eb1ng nhau <\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"3","date":"2022-04-11 03:47:57","option_type":"txt","len":3},{"id":"7049","post_id":"5678","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd. Khi \u0111ó hai góc MIN và PIQ là hai góc<\/p><svg height=\"150\" width=\"250\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"252\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_10\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_4\"> <path d=\"m22.7505,125.59987l39.80001,-106l159.20001,0l-39.80001,106l-159.20001,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"61.9\" x2=\"181.9\" y1=\"18.44375\" y2=\"125.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"220.9\" x2=\"23.9\" y1=\"20.44375\" y2=\"124.44375\"><\/line> <\/g> <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=\"35.9\" xml:space=\"preserve\" y=\"23.44375\">M<\/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=\"224.9\" xml:space=\"preserve\" y=\"28.44375\">N<\/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=\"196.9\" xml:space=\"preserve\" y=\"129.44375\">P<\/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=\"2.9\" xml:space=\"preserve\" y=\"126.44375\">Q<\/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=\"146.9\" xml:space=\"preserve\" y=\"83.44375\">I<\/text> <polyline fill=\"none\" id=\"svg_13\" points=\"121.90000238895402,57.44375150471916 121.90000238895402,57.44375150471916 \" stroke=\"#000\" stroke-linecap=\"round\" stroke-width=\"1.5\"><\/polyline> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> \u0111\u1ed1i \u0111\u1ec9nh","B.<\/strong> <\/strong>\u0111\u1ed1i nhau","C.<\/strong> k\u1ec1 bù","D.<\/strong> k\u1ec1 nhau"],"correct":"1","level":"3","hint":"","answer":"Quan sát hình v\u1ebd th\u1ea5y hai góc MIN và PIQ là hai góc \u0111\u1ed1i \u0111\u1ec9nh:<\/p><svg height=\"163\" width=\"299\"> <g><title><\/title><rect fill=\"#fff\" height=\"165\" id=\"canvas_background\" width=\"301\" 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=\"86.3\" x2=\"283.3\" y1=\"41.85\" y2=\"42.85\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"23.52222\" x2=\"220.52222\" y1=\"153.10926\" y2=\"154.10926\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"283.07778\" x2=\"218.78148\" y1=\"43.07222\" y2=\"153.88704\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"87.52261\" x2=\"24.70778\" y1=\"40.85\" y2=\"153.1463\"><\/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\" transform=\"matrix(0.8518518209457397,0,0,0.8518518209457397,11.00688570550301,5.4786529667567265) \" x=\"64.73127\" xml:space=\"preserve\" y=\"46.89392\">M<\/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\" style=\"cursor: move;\" text-anchor=\"start\" transform=\"matrix(0.8518518209457397,0,0,0.8518518209457397,11.00688570550301,5.4786529667567265) \" x=\"321.25251\" xml:space=\"preserve\" y=\"46.89392\">N<\/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\" style=\"cursor: move;\" text-anchor=\"start\" transform=\"matrix(0.8518518209457397,0,0,0.8518518209457397,11.00688570550301,5.4786529667567265) \" x=\"249.9483\" xml:space=\"preserve\" y=\"186.02409\">P<\/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\" transform=\"matrix(0.8518518209457397,0,0,0.8518518209457397,11.00688570550301,5.4786529667567265) \" x=\"-5.70338\" xml:space=\"preserve\" y=\"181.67627\">Q<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" x1=\"86.88903\" x2=\"219.48136\" y1=\"41.00021\" y2=\"154.33332\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" x1=\"282.4442\" x2=\"23.18545\" y1=\"43.22243\" y2=\"153.59259\"><\/line> <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\" transform=\"matrix(0.8518518209457397,0,0,0.8518518209457397,11.00688570550301,5.4786529667567265) \" x=\"188.20928\" xml:space=\"preserve\" y=\"121.67639\">I<\/text> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"2\"><\/path> <path fill=\"none\" fill-opacity=\"null\" id=\"svg_23\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"2\"><\/path> <path d=\"m145.40744,91.37049c11.11109,-7.4074 19.99996,0.74073 19.99996,0.74073\" fill=\"none\" fill-opacity=\"null\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"2\"><\/path> <path d=\"m162.96264,106.66646\" fill=\"none\" fill-opacity=\"null\" id=\"svg_26\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"2\" style=\"vector-effect: non-scaling-stroke;\"><\/path> <path d=\"m140.96301,104.47615c10.69957,12.5386 19.25922,-1.25384 19.25922,-1.25384\" fill=\"none\" fill-opacity=\"null\" id=\"svg_27\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"2\"><\/path> <ellipse cx=\"153.55557\" cy=\"97.66677\" fill=\"none\" fill-opacity=\"null\" id=\"svg_28\" ry=\"0.37037\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"2\"><\/ellipse> <\/g> <\/svg><\/span><\/p>\u0110áp án \u0111úng là  A.<\/strong> \u0111\u1ed1i \u0111\u1ec9nh<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-11 03:59:27","option_type":"txt","len":1},{"id":"7051","post_id":"5678","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd. Khi \u0111ó hai góc $\\widehat{MIN}$<\/span> và $\\widehat{NIP}$<\/span> là hai góc<\/p><svg height=\"150\" width=\"250\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"252\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_10\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_4\"> <path d=\"m22.7505,125.59987l39.80001,-106l159.20001,0l-39.80001,106l-159.20001,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"61.9\" x2=\"181.9\" y1=\"18.44375\" y2=\"125.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"220.9\" x2=\"23.9\" y1=\"20.44375\" y2=\"124.44375\"><\/line> <\/g> <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=\"35.9\" xml:space=\"preserve\" y=\"23.44375\">M<\/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=\"224.9\" xml:space=\"preserve\" y=\"28.44375\">N<\/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=\"196.9\" xml:space=\"preserve\" y=\"129.44375\">P<\/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=\"2.9\" xml:space=\"preserve\" y=\"126.44375\">Q<\/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=\"146.9\" xml:space=\"preserve\" y=\"83.44375\">I<\/text> <polyline fill=\"none\" id=\"svg_13\" points=\"121.90000238895402,57.44375150471916 121.90000238895402,57.44375150471916 \" stroke=\"#000\" stroke-linecap=\"round\" stroke-width=\"1.5\"><\/polyline> <\/g> <\/svg><\/span><\/p>","options":["A. <\/strong>\u0111\u1ed1i \u0111\u1ec9nh","B.<\/strong> \u0111\u1ed1i nhau \n ","C. <\/strong>k\u1ec1 bù \n ","D.<\/strong> k\u1ec1 nhau"],"correct":"3","level":"3","hint":"Hai góc có m\u1ed9t c\u1ea1nh chung, hai c\u1ea1nh còn l\u1ea1i là hai tia \u0111\u1ed1i nhau \u0111\u01b0\u1ee3c g\u1ecdi là hai góc k\u1ec1 bù.  <\/p>","answer":"Hai góc góc $\\widehat{MIN}$<\/span> và $\\widehat{NIP}$<\/span>  là hai góc k\u1ec1 bù<\/span> vì<\/p>+ Có chung c\u1ea1nh IN.<\/p>+ Hai c\u1ea1nh IM và IP là hai tia \u0111\u1ed1i nhau.<\/p><svg height=\"150\" width=\"245\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"247\" 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\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"61.2594\" x2=\"235.58273\" y1=\"24.9858\" y2=\"23.21889\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"15.35714\" x2=\"191.78571\" y1=\"128.55722\" y2=\"127.84294\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"60.71428\" x2=\"14.28571\" y1=\"23.70008\" y2=\"129.41437\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_14\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"235.71428\" x2=\"190.86466\" y1=\"22.98579\" y2=\"127.12114\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"59.68767\" x2=\"189.68741\" y1=\"25.48767\" y2=\"127.36247\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_16\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"234.68731\" x2=\"14.68776\" y1=\"23.61268\" y2=\"128.61246\"><\/line> <path d=\"m108.43757,62.838c23.3326,-20.81323 29.84401,6.40407 31.20031,4.97888\" fill=\"none\" fill-opacity=\"null\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m145.50986,67.16522c19.99996,14.99997 -0.625,24.99995 -0.93778,24.51223\" fill=\"none\" fill-opacity=\"null\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_20\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"147.81249\" x2=\"160.93746\" y1=\"79.23756\" y2=\"79.23756\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(0.8508964218588349,0,0,0.8508964218588349,4.0077873592719255,4.482756989476371) \" x=\"50.767\" xml:space=\"preserve\" y=\"18.69586\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_23\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" transform=\"matrix(0.8508964218588349,0,0,0.8508964218588349,4.0077873592719255,4.482756989476371) \" x=\"264.16374\" xml:space=\"preserve\" y=\"19.93294\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_24\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" transform=\"matrix(0.8508964218588349,0,0,0.8508964218588349,4.0077873592719255,4.482756989476371) \" x=\"211.58773\" xml:space=\"preserve\" y=\"164.6716\">P<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_25\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(0.8508964218588349,0,0,0.8508964218588349,4.0077873592719255,4.482756989476371) \" x=\"-3.66463\" xml:space=\"preserve\" y=\"162.81597\">Q<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_26\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(0.8508964218588349,0,0,0.8508964218588349,4.0077873592719255,4.482756989476371) \" x=\"50.767\" xml:space=\"preserve\" y=\"18.69586\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_27\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"matrix(0.8508964218588349,0,0,0.8508964218588349,4.0077873592719255,4.482756989476371) \" x=\"136.74424\" xml:space=\"preserve\" y=\"107.14726\">I<\/text> <ellipse cx=\"124.34214\" cy=\"76.14744\" fill=\"#000000\" fill-opacity=\"null\" id=\"svg_28\" rx=\"2.36842\" ry=\"1.8421\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\"><\/ellipse> <\/g> <\/svg><\/span><\/p>\u0110áp án \u0111úng là  C. <\/strong>k\u1ec1 bù<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-11 04:03:55","option_type":"txt","len":2}]}