Các khái niệm mở đầu

Home Lớp 10 Toán lớp 10 - Sách Kết nối tri thức Bài 7: Các khái niệm mở đầuBài tập nâng cao

{"common":{"save":0,"post_id":"6437","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6489","mon_id":"1158767","chapter_id":"1158861","post_id":"6437","question":"Cho tam giác ABC vuông t\u1ea1i A. AB=6, AC=8. Tính \u0111\u1ed9 dài véc t\u01a1 $\\overrightarrow{BC}$<\/span><\/p>","options":["A. 14","B. 10","C. $\\sqrt{28}$<\/span>","D. 12"],"correct":"2","level":"3","hint":" <svg height=\"208\" width=\"224\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"210\" id=\"canvas_background\" width=\"226\" 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><image height=\"208\" id=\"svg_1\" width=\"224\" x=\"0\" xlink:href=\"data:image\/png;base64,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\" y=\"0\"><\/image> <\/g> <\/svg><\/span> Áp d\u1ee5ng \u0111\u1ecbnh lí Pitago cho tam giac ABC ta có:  <\/p>$BC^2=AC^2+AB^2=8^2+6^2=100\\Rightarrow BC=10$<\/span><\/p>$|\\overrightarrow{BC}|=BC=10$<\/span><\/p>","answer":"\u0110áp án: B<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-03-13 08:42:22","option_type":"math","len":0},{"id":"6490","mon_id":"1158767","chapter_id":"1158861","post_id":"6437","question":"Cho tam giác ABC. G\u1ecdi M,N,P l\u1ea7n l\u01b0\u1ee3t là trung \u0111i\u1ec3m c\u1ee7a AB,AC và BC. Có bao nhiêu véct\u01a1 khác véct\u01a1 không có \u0111i\u1ec3m \u0111\u1ea7u và \u0111i\u1ec3m cu\u1ed1i là các \u0111i\u1ec3m trong các \u0111i\u1ec3m A,B,C,M,N,P b\u1eb1ng véct\u01a1 $\\overrightarrow{MN}$<\/span> (không k\u1ec3 véct\u01a1 $\\overrightarrow{MN}$<\/span> )?<\/p>","options":["A. 1 .","B. 4 .","C. 2 .","D. 3 ."],"correct":"3","level":"3","hint":" <svg height=\"243\" width=\"363\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"245\" id=\"canvas_background\" width=\"365\" 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><image height=\"243\" id=\"svg_1\" width=\"363\" x=\"0\" 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8A4Dcv4i43f0YAAAAASUVORK5CYII=\" y=\"0\"><\/image> <\/g> <\/svg><\/span> Các véct\u01a1 khác véct\u01a1 không có \u0111i\u1ec3m \u0111\u1ea7u và \u0111i\u1ec3m cu\u1ed1i là các \u0111i\u1ec3m trong các \u0111i\u1ec3m A,B,C,M,N,P b\u1eb1ng véct\u01a1 $\\overrightarrow{MN}$<\/span> (không k\u1ec3 véct\u01a1 $\\overrightarrow{MN}$<\/span> ) là: $\\overrightarrow{BP}$<\/span> và  $\\overrightarrow{PC}$<\/span><\/p>","answer":"\u0110áp án: C<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-03-13 08:46:13","option_type":"txt","len":0},{"id":"6491","mon_id":"1158767","chapter_id":"1158861","post_id":"6437","question":"Cho  $\\triangle ABC$<\/span> cân t\u1ea1i  A, \u0111\u01b0\u1eddng cao AH. Kh\u1eb3ng \u0111\u1ecbnh nào sau \u0111ây \u0111úng?<\/p>","options":["A. $\\overrightarrow{HB}=\\overrightarrow{HC}$<\/span>","B. T\u1ea5t c\u1ea3 \u0111\u1ec1u sai","C. $|\\overrightarrow{AB}|=|\\overrightarrow{AC}|$<\/span>","D. $\\overrightarrow{AB}=\\overrightarrow{AC}$<\/span>"],"correct":"3","level":"3","hint":" <svg height=\"189\" width=\"207\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"191\" id=\"canvas_background\" width=\"209\" 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><image height=\"189\" id=\"svg_1\" width=\"207\" x=\"0\" xlink:href=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM8AAAC9CAMAAAAjtdmnAAABelBMVEX\/\/\/8AAIDX198AAACfn7+9vc\/\/AADy8vP7+\/tDQ5gMDIQjI4zi4ueHh7Sursd1day2tsuZrL35+fi9rJlefpfZzsLv8vIiIkzo6OuXfl74+fnt7e8tExPy8u+YmLw5OZR3WENMIiLc4+bm49zR0dvExNN+frBOTpwXF4hDWHcTEy729vfCztlra6hYWKD3AABQQ0SWBQW3AADo6uuoqMR3hJC\/AACuAADd3ePSz8xiYqQuLpCAd3cAAGMJAQbpAADd3d26uLi2tLSBjqSin5+kjoEAAHlrX2JhV1paTk5HNzc1JCQ9FxceEBIXAgrs6ufKytevt8bCwcPNxrmOjrOyrqqRjJJtaoJ5aXlaV2oAAFZQUFAHAEw7LTcQABwyGRomGBhiFhZ2EBBmDg9yCAg9AAgwAAhKAAd8AwTfAADHAADz8fHT3NzKz9XJydK0tMDGt6+np6etpI4yMoOCfHyGaWl2aGhPPT0\/PyYsGyYPACFbFRVnExPXAAAZcF8uAAAGc0lEQVR42u2d91fTUBiGv9tgWouithZLixMXInQgIArIVLZ77733Xv+7yUshRwyEJpfku9c8P+k5rsfePtT35HgpJiYmJiYmJiYmJkY12sZIJ3bu3U4akdljaOXTYmjlk72plU9uLGcY20gX2q4WdPLZea2ZNPLJfN5HlNXHp8Ww0cYna3lo9Prkxqjmc5Q0YKK9gPdQiyavj2G0F\/DqGFp9QY2JiYlZpPh+fJj0YbT10bPZAdKF4dmSaZq\/RkkTzvSZFqfmSBOmX5g2BmnCp4qt83uGNKE4d8o0S48vkCYkBuefPJm\/tYX0ILVRnB4c\/CjEAdKCJiE6hTiWFo0dpAFJS+ScEBssrYOkAVuE2JqwfOiQEPtJeSyVjQSffFqcTJHiWDEQmwg+1CDEZlKcJjjAB27HSWnsGCQXfWiTELvVPnF2DGjJh3YJsYsUBjEgxye1W6Q3kbIgBo5PTVDdE4cYLPmAzUIcI0VBDJb5pBpFOk9qghgs86H9QhwiJUEM\/vGhg7algiAGLj5J68QVST0QAxcfOiDECVIOxMDVhzrt76kGYuDukzwsDidJLRADFx+wQQjFxgTEwNUHdKk2JiAGK\/sUrTeXSicOMVjFhxQbExCD1XzUGhMQg9V98tYrqMoHbcRgdR+lxgTEwMMH0glSAcTAw0elMQEx8PBRaExADLx9MCYI\/mMCYuDpo86Y4MTAywdjQgPxBjHw9lFmTEAMvH1UGRMQgzX7YExoIr44MfDwUWRMQAzq8MGY0EVccWLg5aPGmODEwMtHiTEBMajTB2NCJ3HEiYG3jwpjghMDbx8FxgTEwI8PNbGcrxCDtfrwHxMQA58+eX7PwiAGa\/dhPyYgBmv34T4mIAZ+fTAm8HoWBjGow4f5mIAYBPJJ7Wb0LAxiUJcP7zEBMajLh\/WYgBgE9kk1cnkWBjGoz4fzmIAYBPQBB1k8C4MY1OvDeExADOr14TsmIAaSfKgz+mdhEIO6fdiOCYiBNB\/aEPGzMIiBRB\/qina+Qgx8+DAdExADPz5MxwTEQKoPxoRzFA2IgS8flmMCYiDdhxqiehYGMfDnw3FMQAx8+nAcExADuT7OmHCJwgYx8OvDb0xwYiDfhxLhPwuDGPj2YTcmIAb+fdiNCYiBdB+H\/Z7vTvkxCODDbExADNbXJxnmszCIQRAfXmMCYhDIh9eYgBissw\/GhHSSQgAxCObDaUxADAL6cBoTEINQfIrpEOYrxCCoD6MxATEIyYcOrfuzMIhBYB82YwJiENyHzZiAGITok9q4\/FmYyGPg5sNlTEAMQvWhXX+fiOhj4ObDY0xADKT48BgTEIPQfWiz8ywMhxi4+bAYExCDCHwwJuDEsYiBmw+DMQExkOXDYExADCLyoQN4FoZHDNx8oh8TEIPIfDAmFHnEQIoPxgQeMZDjgzGBRQwk+WBM4BADST74fyU5xECWD8YEBjGQ5YMxIRl9DKT5YEyIPgbyfDAmRB4DaT4YExpTUmLAwwdjgowYcPGxx4RE8Biw8Qk+JiAGfHyCjQkj94yhW8Gb33HGMG7nSQqpxsE7xtCAr1H7ys\/n5vOnVykgqelKyazOFEkKb+erZqny1cehy7eaFqW5Sw3BuP7MtKjebpDCd9wW8GCc6ubyI9Pm6Q0RjDtV\/L0YQganh0yb6tTabsE0Fri+j4hGH+KnPg7q82PhPokhOT6GadM3SQQy\/dab80hP\/7VmcmPCvujq7F7jiCWUvFey\/xx33ySCcQV\/L5XJhBTK+Nu5P0LgYqvR002ZPbjXyoUWmNSuV7swW+3tu9tPQZl60Ntbme4gKSRnKr2997+Qc8+Yc72q24Hb0bzkQ8NT5UkZnR0vl1FYKXQMlMsjzjWkzjV3LuTwA9pabSv+5Az8OfHNfeQC7r3L9FtnskD8seu1zetaXJv2blKBnIE3+4rgoLUXMh8Uucwvi+O2CuiAOrctthgulXapNaog85TbbF84yzJDk\/X6Y6LW0JJ44PBFYof9jnxnnffXJI+cx+uD1wXvIrxMMs\/FUemXoKJei3\/OtvMr1e0oZS624veV+dvuaF765SWCr5OviF5OuOqQUeNmj9ReI5rOaZZJ5vI3+8NoN4WHc8xyelyBiq4BNb4KeIEPgzhuanwoBB7R1Oi4odYaXVmNY7b0xUJ9cMxq1VbhHyEenN1j+RTwoUcLn9pn0Kw+vY6JiYmJifkf+AMmvYONeCXlTwAAAABJRU5ErkJggg==\" y=\"-1\"><\/image> <\/g> <\/svg><\/span> $\\overrightarrow{HB},\\overrightarrow{HC}$<\/span>  ng\u01b0\u1ee3c h\u01b0\u1edbng nhau nên $\\overrightarrow{HB}=\\overrightarrow{HC}$<\/span>  là sai Hai véc t\u01a1 $\\overrightarrow{AB},\\overrightarrow{AC}$<\/span> không cùng ph\u01b0\u01a1ng nên không cùng h\u01b0\u1edbng nên $\\overrightarrow{AB}=\\overrightarrow{AC}$<\/span>  là sai Vì  $\\triangle ABC$<\/span> cân t\u1ea1i  A nên $AB=AC\\Rightarrow|\\overrightarrow{AB}|=|\\overrightarrow{AC}|$<\/span> . Suy ra kh\u1eb3ng \u0111\u1ecbnh C \u0111úng, kh\u1eb3ng \u0111\u1ecbnh B sai<\/p>","answer":"\u0110áp án: C<\/strong><\/span><\/p>","type":"choose","extra_type":"classic","user_id":"147","test":"0","date":"2023-03-13 08:54:38","option_type":"math","len":0}]}