组卷网>知识点选题>利用动点研究函数图像
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1 . 在《九章算术》中,将四个面都是直角三角形的四面体称为鳖臑,在鳖臑eqId97af93bc48424679a970c09ac8f447cd中,eqIda76815a78f744289bf4e7c0b9f94e861平面eqId0f24c9c77eb648e4aade772aaae0eca7,且eqIde86156e38560430c93f2d953c4e80b2ceqId5c86ff567c8943e19b34a6c2efe9e2bf,点eqIdbedf755e0fdb4d078d6859360706b163在棱eqIdcf2da96900c948a1b3ce7cbfd420c080上运动,设eqIdc0ead09e405d42679aa889b1af32f053的长度为eqIda9cd3f94eb8045438f75e9daccfa7200,若△eqId3f7ce2ec1da641d9842e8b9a83b2bc31的面积为eqIde4a0e3706b56447b90fe1b2781f91b14,则eqIde4a0e3706b56447b90fe1b2781f91b14的图像大致为(   )
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2 . 如图所示是一个无水游泳池,eqIdb3038cf4ba664410a22fc63cdea203c0是一个四棱柱,游泳池是由一个长方体切掉一个三棱柱得到的.现在向泳池注水,如果进水速度是均匀的(单位时间内注入的水量不变),水面与eqId99a3187c2b8f4bcc9703c74c3b72f1f3的交点为eqId2381423d4cd146cab95f55527681a766,则eqId10381e9fca8b4095b66c934255c907b4的高度eqId2b1922fa59af4c5098f7af850d2fcd98随时间eqId69f56ef2c88b4b73a560da59f5247a82变化的图象可能是(   )
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单选题 | 一般(0.65) | 2021·安徽高三二模(文)
3 . 《九章算术·商功》中有这样一段话:“斜解立方,得两壍堵.斜解壍堵,其一为阳马,一为鳖臑.阳马居二,鳖臑居一,不易之率也.”意思是:如图,沿正方体对角面eqIdbb9fb86e32724c749a2a298dca8c9598截正方体可得两个壍堵,再沿平面eqId154f5012092c4301b4e5c6e42edb5d3d截壍堵可得一个阳马(四棱锥eqIdbb054aa213414d49bc535f3f9067aca3),一个鳖臑(三个棱锥eqId713abc1c556b45088232393b04677591),若eqIdbedf755e0fdb4d078d6859360706b163为线段eqId34c6b6e427744abfb88dc90b8c7c2111上一动点,平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac过点eqIdbedf755e0fdb4d078d6859360706b163eqIde4acd98e4399416f9f8e3c4f8ff2e30a平面eqIdc13953f2514e4c8f9c8aaaf5241c33ac,设正方体棱长为eqId37705e1ef6a84bbdbe88433e75932cdfeqId1c6055c93c9b43b6870624c74ad7783feqIdc13953f2514e4c8f9c8aaaf5241c33ac与图中鳖臑截面面积为eqId51d8a094ee99497ea839941c67407d85,则点eqIdbedf755e0fdb4d078d6859360706b163从点eqId0cd8063abf2b458f80091bc51b75a904移动到点eqId19a4eb16029e4550a14f2afe4741a3c3的过程中,eqId51d8a094ee99497ea839941c67407d85关于eqIda9cd3f94eb8045438f75e9daccfa7200的函数图象大致是()
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单选题 | 一般(0.65) | 2021·山东高三一模
4 . 如图所示,单位圆上一定点eqId052844cae8574a8ab842c38a039baac0与坐标原点重合.若单位圆从原点出发沿eqIda9cd3f94eb8045438f75e9daccfa7200轴正向滚动一周,则eqId052844cae8574a8ab842c38a039baac0点形成的轨迹为()
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单选题 | 较易(0.85) |
5 . 点eqIdbedf755e0fdb4d078d6859360706b163在边长为1的正方形eqId5ce7a06ae7a34393b92b5277978ac014的边上运动,eqId2381423d4cd146cab95f55527681a766eqId34c6b6e427744abfb88dc90b8c7c2111的中点,则当eqIdbedf755e0fdb4d078d6859360706b163沿eqId38ce16f4f2304edbb95e1dd5a9c1f57b运动时,点eqIdbedf755e0fdb4d078d6859360706b163经过的路程eqIda9cd3f94eb8045438f75e9daccfa7200eqId30bd637d608b4299b5d520ac7011e345的面积eqId072d7d6b911b42bc89207e72515ebf5f的函数eqId9b37d03e47a347fc8fab9f814ba5fac4的图象的形状大致是图中(   )
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更新:2020/12/02组卷:217
6 . 如图,已知eqId0680c299a651427c9959c6986abf1c2a,圆心在eqId74c7e0292b094e54ae596d37798a05ed上,半径为eqIda5fc8e3b16674d45ab59f994f518cc67的圆eqId2efda802d5534f6d92d9f8af7aaec28beqId27a79e2494d7484384d6192cb42754e0时与eqId439fb93f7745417b8bb1747d963c6e60相切于点eqId052844cae8574a8ab842c38a039baac0,圆eqId2efda802d5534f6d92d9f8af7aaec28b沿eqId74c7e0292b094e54ae596d37798a05edeqId0976855a45df41269ce33d5b059f84d2的速度匀速向上移动,圆被直线eqId439fb93f7745417b8bb1747d963c6e60所截上方圆弧长记为eqIda9cd3f94eb8045438f75e9daccfa7200,令eqIdd66370115633405d96de5213939f5117,则eqId072d7d6b911b42bc89207e72515ebf5f与时间eqId4c92a937d042462886861e55361e8d01,单位:eqId990fd495ad5347a8afb3a535cf3d0bca的函数eqId4d2254af2b1c4e4398dd50fac658896f的图象大致为(   )
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单选题 | 一般(0.65) | 2020·全国高三专题练习(理)
7 . 某饲料厂原有陈粮10吨,又购进新粮x吨,现将粮食总库存量的一半精加工为饲料.若被精加工的新粮最多可用eqId24fe5f2832a74b80bb84033f7541f6fa吨,被精加工的陈粮最多可用y2吨,记eqIdd09407cb64374404b78f26ed2cf65672,则函数eqId4837c94ef0ff4dcf9b1dda4df363275a的图象为(   )
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8 . 如图,扇形eqIda5e988d8b88e45129e56675560a4ea90的半径eqIda1d7ba71668c45a0bc68fde54c4cd61d,圆心角eqId4be7471d627144798cb78bd58d2bad73eqId19a4eb16029e4550a14f2afe4741a3c3是弧eqId99a3187c2b8f4bcc9703c74c3b72f1f3上不同于eqIdcc614bd3390c4d028df189b234dcc351eqId8754ce8cf7f34f04abb9a0c041f57f5c的动点,过点eqId19a4eb16029e4550a14f2afe4741a3c3eqId1ccf35ccaa8443b99ce17a5d34120bd5于点eqId0cd8063abf2b458f80091bc51b75a904,作eqId5823ac3dc74a459795eaa2697f540da2于点eqId93cbffaa5ae045d6ac45d1e979991c3a,连接eqId66d409c343f04cfda647f9bfc7da6b2a,点eqId517584fed25c413ba8b7bb33ffa2d5c6在线段eqId66d409c343f04cfda647f9bfc7da6b2a上,且eqId65d437e126c94ef8a025fc9f067b154f,设eqId13992fb40f4c45c29adf8b5a786e497c的长为eqIda9cd3f94eb8045438f75e9daccfa7200eqIdd7ea7b7a4cd54d1ba28f23d9a94c9362的面积为eqId072d7d6b911b42bc89207e72515ebf5f,下面表示eqId072d7d6b911b42bc89207e72515ebf5feqIda9cd3f94eb8045438f75e9daccfa7200的函数关系式的图象可能是(   )
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10 . 广为人知的太极图,其形状如阴阳两鱼互纠在一起,因而被习称为“阴阳鱼太极图”.如图,是由一个半径为2的大圆和两个半径为1的半圆组成的“阴阳鱼太极图”,圆心分别为eqIde39fd4a1b04d47b3b91d438063ee5ab7,若一动点eqIdbedf755e0fdb4d078d6859360706b163从点eqId052844cae8574a8ab842c38a039baac0出发,按路线eqId597bc76134804f69bdd8aaa5cc3a88e2运动(其中eqId4957c58305244cbe823b74e183010fcd五点共线),设eqIdbedf755e0fdb4d078d6859360706b163的运动路程为eqIda9cd3f94eb8045438f75e9daccfa7200eqId969e3255011c442ba6ef34f9ca26c81beqIda9cd3f94eb8045438f75e9daccfa7200的函数关系式为eqId649b34d871824c0caaef9422012b8946,则eqId649b34d871824c0caaef9422012b8946的大致图象为(   )
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