解题方法
1 . 已知圆
,圆心为
的圆分别与圆
相切.圆
的公切线(倾斜角为钝角)交圆
于
两点,则线段
的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d61856211d48bf26b301f7da2e0f6839.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14ead50478910c58748e5e805edf5f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bdbbfae10ee2d7c2ddf447e481af9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.3 | D.6 |
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2 . 在平面中,已知点H到
,
的距离之比为
,记点H的轨迹为曲线C,直线
与C分别相交于M,N,且直线与坐标轴分别相交于点P,Q,已知定点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5428b040be21dcd503d350478c0a4773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30dd809d2f4f4f2287043eac970bf526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac50f01dae1de9bb93d9a80bdd91d96.png)
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解题方法
3 . 在平面直角坐标系内,点O是坐标原点,动点B,C满足
,
,A为线段
中点,P为圆
任意一点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7057cb0d9917fc7c2baa213a36716787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb5d913d39e00e6e7f9e1b00a2bdb6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d08158fd61e70c9e46e81c793b96fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596f68ba4b746cab4b2c26ffce554b5a.png)
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4 . 已知动直线l的方程为
,
,
,O为坐标原点,过点O作直线l的垂线,垂足为Q,则线段PQ长度的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e6d2f39b5a687bc27c854e10b19415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f11c964b3a008d35fb4b3ac18ed5a5.png)
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2023-04-19更新
|
2225次组卷
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7卷引用:湖北省2023届高三下学期四月调研考试数学试题
湖北省2023届高三下学期四月调研考试数学试题专题17平面解析几何(单选题)山东省烟台市蓬莱区两校2023届高三三模联考数学试题重庆市2023届高三下学期5月月度质量检测数学试题(已下线)模块五 第1讲:三角恒等变换【讲】高三清北学霸150分晋级必备浙江省金华第一中学2023-2024学年高三下学期模拟考试数学试卷(已下线)压轴题02圆锥曲线压轴题17题型汇总-1
名校
5 . 在平面直角坐标系中,
为圆
上的动点,定点
.现将
轴左侧半圆所在坐标平面沿
轴翻折,与
轴右侧半圆所在平面成
的二面角,使点
翻折至
,
仍在右侧半圆和折起的左侧半圆上运动,则
,
两点间距离的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54329a84abb204cecb237b2bf2ff2bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eae019053ae564f08c01487f7ff7986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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名校
解题方法
6 . 公元前3世纪,古希腊数学家阿波罗尼斯结合前人的研究成果,写出了经典之作《圆锥曲线论》,在此著作第七卷《平面轨迹》中,有众多关于平面轨迹的问题,例如:平面内到两定点距离之比等于定值(不为1)的动点轨迹为圆.后来该轨迹被人们称为阿波罗尼斯圆.已知平面内有两点
和
,且该平面内的点
满足
,若点
的轨迹关于直线
对称,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c959b85e8d916cc9f509babb866f6312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02af485e17e7628fd5a3ace6e0a32ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe53e549f52d6f0b33aa6ac482ae7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e430654fd10d725ea39912c3af7be992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a9c87c72cb457b3e56f28740b1b30c.png)
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安徽省示范高中皖北协作区2023届高三下学期3月联考(第25届)数学试题江西省景德镇一中2022-2023学年高二(19班)下学期期中考试数学试题(已下线)2.4 圆的方程(精练)-2023-2024学年高二数学《一隅三反》系列(人教A版2019选择性必修第一册)
7 . 如图所示,正方体
棱长为2,点P为正方形
内(不含边界)一动点,
角平分线交
于点Q,点P在运动过程中始终满足
.
①直线
与点P的轨迹无公共点;
②存在点P使得
;
③三棱锥
体积最大值为
;
④点P运动轨迹长为
.
上述说法中正确的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/17/76ec96b9-2094-438e-ad4d-f00a6525099f.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0433f8116768b42642a7f7e5977ce6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3332ce483bd11efea0a01e6cb329aa9d.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
②存在点P使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a916d31a199e250556fb7478d9f57f7.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a9ec3b527947cad9caa4537e0cb7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a6b832d2922f5c5fea6a1143250f70.png)
④点P运动轨迹长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06beac41f26a7735bbeff2e7df52f51d.png)
上述说法中正确的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/17/76ec96b9-2094-438e-ad4d-f00a6525099f.png?resizew=152)
A.1 | B.2 | C.3 | D.4 |
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2卷引用:四川省凉山州2023届高三下学期二诊文科数学试题
名校
解题方法
8 . 剪纸是中国古老的传统民间艺术之一,剪纸时常会沿着纸的某条对称轴对折.将一张纸片先左右折叠,再上下折叠,然后沿半圆弧虚线裁剪,展开得到最后的图形,若正方形
的边长为
,点
在四段圆弧上运动,则
的取值范围为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/7b15fe7c-620e-4162-81ea-e2aef4015ab5.png?resizew=429)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b9f01e806bf74042ba41b26423022.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/7b15fe7c-620e-4162-81ea-e2aef4015ab5.png?resizew=429)
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河南省新乡市2023届高三下学期第二次模拟考试理科数学试题河南省新乡市2023届高三第二次模拟考试数学(文科)试题(已下线)广东省深圳市深圳中学2022-2023学年高一下学期期中数学试题(已下线)专题19新文化试题(已下线)专题19新文化试题北京市人大附中2022-2023学年高一下学期期中数学试题河北省石家庄市第二中学2023届高三下学期4月月考数学试题(已下线)第三篇 以学科融合为新情景情境2 跨不同学科融合
9 . 已知曲线
,曲线
,直线
与曲线
的交点记为
,与曲线
的交点记为
.执行如图的程序框图,当
取遍[-1,
]上所有实数时,输出的点构成曲线C,则曲线C围成的区域面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/4731e96b-8c7b-446c-a4d1-55e0cbbf1165.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382f77f848a33e3bebf3e8fd55ac171c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45e9a07c42ac437a0469360cad05d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690327ef6afcce4e693cee02642835e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8112f9185c7d48b015d9cd0525616b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8d7da24c485205172663f40a52c962.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/4731e96b-8c7b-446c-a4d1-55e0cbbf1165.png?resizew=166)
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10 . 已知O为平面点角坐标系的原点,点
,B为圆
上动点,记经过A、B的直线为l,以O为圆心与l相切的圆的面积为
,经过O、A、B三点的圆的面积为
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6be51ca81c4e72ec876fa31cf705373b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884d40a97fd767e95f34f3b91ab8d84c.png)
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