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":"5699","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7319","post_id":"5699","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft At là tia phân giác c\u1ee7a góc xAy. Ch\u1ecdn k\u1ebft lu\u1eadn \u0111úng.<\/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\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"2.1\" x2=\"178.1\" y1=\"154.44375\" y2=\"154.44375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(120 222.10000610351562,77.44374847412108) \" x1=\"134.1\" x2=\"310.1\" y1=\"77.44375\" y2=\"77.44375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(60 134.10000610351565,79.44375610351561) \" x1=\"46.1\" x2=\"222.1\" y1=\"79.44375\" y2=\"79.44375\"><\/line> <\/g> <path d=\"m193.1,127.44375c-21,-12 -27,6 -27,6\" fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m171.1,140.48253c-21,-12 -27,6 -27,6\" fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-40 157.60000610351562,141.42002868652344) \"><\/path> <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=\"7.1\" xml:space=\"preserve\" y=\"143.44375\">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=\"236.1\" xml:space=\"preserve\" y=\"20.44375\">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=\"84.1\" xml:space=\"preserve\" y=\"30.44375\">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\" style=\"cursor: move;\" text-anchor=\"start\" x=\"183.1\" xml:space=\"preserve\" y=\"162.44375\">A<\/text> <\/g> <\/svg><\/span><\/p>","options":["A. <\/strong>$\\widehat{xAt}=\\widehat{xAy}$<\/span>","B. <\/strong>$\\widehat{xAt}=\\dfrac{1}{2}.\\widehat{tAy}$<\/span>","C. <\/strong>$\\widehat{yAt}=\\widehat{xAy}$<\/span>","D. <\/strong>$\\widehat{xAt}=\\dfrac{1}{2}.\\widehat{xAy}$<\/span>"],"correct":"4","level":"3","hint":"","answer":"Vì At là tia phân giác c\u1ee7a góc xAy nên $\\widehat{xAt}=\\widehat{yAt}=\\dfrac{1}{2}.\\widehat{xAy}$<\/span>.<\/p>\u0110áp án \u0111úng là  D. <\/strong>$\\widehat{xAt}=\\dfrac{1}{2}.\\widehat{xAy}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-23 08:51:20","option_type":"math","len":0},{"id":"7343","post_id":"5699","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft Oz và Oy l\u1ea7n l\u01b0\u1ee3t là tia phân giác c\u1ee7a các góc xOy và zOt, $\\widehat{xOz}=45^0$<\/span><\/p><svg height=\"150\" width=\"280\"> <g><title><\/title><rect fill=\"#fff\" height=\"152\" id=\"canvas_background\" width=\"282\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_8\" 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=\"130\" x2=\"130\" y1=\"4.2375\" y2=\"138.2375\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(90 197,137.23750305175784) \" x1=\"197\" x2=\"197\" y1=\"70.2375\" y2=\"204.2375\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(45 177.00000000000009,90.2375030517578) \" x1=\"177\" x2=\"177\" y1=\"23.2375\" y2=\"157.2375\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"251.1\" xml:space=\"preserve\" y=\"124.2375\">x<\/text> <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=\"86.1\" xml:space=\"preserve\" y=\"144.2375\">O<\/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=\"111.1\" xml:space=\"preserve\" y=\"28.2375\">y<\/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=\"220.1\" xml:space=\"preserve\" y=\"66.2375\">z<\/text> <line fill=\"none\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(-45 81.99999999999999,90.23750305175783) \" x1=\"82\" x2=\"82\" y1=\"23.2375\" y2=\"157.2375\"><\/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=\"45.1\" xml:space=\"preserve\" y=\"50.2375\">t<\/text> <path d=\"m147.1,118.2375c26.96667,-0.4125 15.93333,13.175 8.9,19.7625\" fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <path d=\"m134.1,102.2375c26.96667,-0.4125 15.93333,13.175 8.9,19.7625\" fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-50 142.70620727539062,112.11415863037111) \"><\/path> <path d=\"m114.1,104.2375c26.96667,-0.4125 15.93333,13.175 8.9,19.7625\" fill=\"none\" fill-opacity=\"null\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(-80 122.70620727539064,114.1141586303711) \"><\/path> <\/g> <\/svg><\/span><\/p>Tính s\u1ed1 \u0111o các góc xOy, góc yOt và góc xOt.<\/p>$\\widehat{xOy}=$<\/span>  <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> °<\/p>$\\widehat{yOt}=$<\/span>  <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> °<\/p>$\\widehat{xOt}=$<\/span>  <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> °<\/p>","options":"","correct":["[\"90\",\"45\",\"135\"]"],"level":"3","hint":"","answer":"Vì Oz là tia phân giác c\u1ee7a góc xOy nên $\\widehat{xOy}=2.\\widehat{xOz}=2.45^0=90^0$<\/span><\/p>Vì Oz là tia phân giác c\u1ee7a góc xOy nên $\\widehat{yOz}=\\widehat{xOz}=45^0$<\/span><\/p>Vì Oy là tia phân giác c\u1ee7a góc zOt nên $\\widehat{yOt}=\\widehat{yOz}=45^0$<\/span><\/p>Vì Oy n\u1eb1m gi\u1eefa hai tia Ox và Ot nên $\\widehat{xOt}=\\widehat{xOy}+\\widehat{yOt}=90^0+45^0=135^0$<\/span><\/p>Suy ra <\/p>$\\widehat{xOy}=$<\/span>  90°<\/p>$\\widehat{yOt}=$<\/span>  45°<\/p>$\\widehat{xOt}=$<\/span> 135°<\/p>Các s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t là 90 ; 45 ; 135<\/span><\/p>","type":"blank","extra_type":"","time":"0","user_id":"131","test":"1","date":"2022-04-23 15:54:54"},{"id":"7368","post_id":"5699","mon_id":"1158532","chapter_id":"1158546","question":"Cho hình v\u1ebd, bi\u1ebft $\\widehat{xAB}=120^0$<\/span> và $\\widehat{tBm}=60^0$<\/span>. Ch\u1ecdn k\u1ebft lu\u1eadn \u0111úng.<\/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":["A.<\/strong> xy \/\/ zt","B.<\/strong> xy &perp; zt","C.<\/strong> $\\widehat{yAB}=60^0$<\/span>","D.<\/strong> $\\widehat{tBm}$<\/span> và $\\widehat{yAB}$<\/span> là hai góc so le trong"],"correct":"[\"1\",\"3\"]","level":"3","hint":"Tính s\u1ed1 \u0111o góc yAB.<\/p>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>","answer":"Vì $\\widehat{xAB}$<\/span> và $\\widehat{yAB}$<\/span> là hai góc k\u1ec1 bù nên $\\widehat{xAB}+\\widehat{yAB}=180^0$<\/span>.<\/p>Suy ra $\\widehat{yAB}=180^0-\\widehat{xAB}=180^0-120^0=60^0$<\/span><\/p>Do \u0111ó $\\widehat{yAB}=$<\/span>$\\widehat{tBm}=60^0$<\/span> mà hai góc này \u1edf v\u1ecb trí \u0111\u1ed3ng v\u1ecb nên xy \/\/ zt.<\/p>A.<\/strong> xy \/\/ zt               \u0110úng<\/span><\/p>B.<\/strong> xy &perp; zt              Sai<\/span> vì xy \/\/ zt<\/p>C.<\/strong> $\\widehat{yAB}=60^0$<\/span>       \u0110úng<\/span><\/p>D.<\/strong> $\\widehat{tBm}$<\/span> và $\\widehat{yAB}$<\/span> là hai góc so le trong           Sai<\/span> vì hai góc này \u1edf v\u1ecb trí \u0111\u1ed3ng v\u1ecb<\/p>Các \u0111áp án \u0111úng là  A.<\/strong> xy \/\/ zt<\/span> và C.<\/strong> $\\widehat{yAB}=60^0$<\/span><\/span><\/p>","type":"checkbox","extra_type":"classic-checkbox","time":"0","user_id":"131","test":"1","date":"2022-04-24 02:57:02","option_type":"math","len":0}]}