2023·全国·模拟预测
1 . 从
的外接圆上任意一点
分别向
的三边所在直线作垂线,垂直分别为
,
,
,则
,
,
三点共线,这一性质就是著名的西摩松定理,这条直线叫作西摩松直线.若圆
与
轴负半轴、正半轴分别交于点
,
,第一象限内的点
在圆
上,点
关于
轴的对称点为
,点
在
轴及直线
上的射影分别为
,
,则直线
的方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7121bfdb53eb8307706e8c63c4569b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac06bc73b408c6a70bd0f6d24ebb7d2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce2790947716b1cfa9c5e7a65db4093.png)
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2 . 已知点Q是圆C:
上一动点,点
,线段PQ的中点R的轨迹为E,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6d5ae3d7e7cda97fba4cb2c7002a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328aaba77106396d4ca644c8b7a352e0.png)
A.![]() |
B.过点P且与圆C相切的一条直线方程为![]() |
C.轨迹E的方程为![]() |
D.轨迹E与圆C的公共弦所在的直线方程为![]() |
您最近一年使用:0次
3 . 已知圆C:
与圆
,P,Q分别为圆C和圆M上的动点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d5956c8c1ffc3dd9ddce8359f11b075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24482676ca3324dff073ade7ec07da7c.png)
A.过点(2,1)作圆M的切线有且仅有一条 |
B.不存在实数a,使得圆C和圆M恰有一条公切线 |
C.若圆C和圆M恰有3条公切线,则![]() |
D.若![]() ![]() |
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4 . 已知
,
,点P满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf5a6145990adf5574f0e0f2fc828ea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3326927e4b01e981a19109633141e06a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed40bce11976e6d1a7274116c69c379.png)
A.点P在以AB为直径的圆上 | B.![]() ![]() |
C.存在点P使得![]() | D.![]() ![]() |
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5 . 已知圆的方程为
,对任意的
,该圆( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee99272933816c089cd419752083e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
A.圆心在一条直线上 | B.与坐标轴相切 |
C.与直线![]() | D.不过点![]() |
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2023-03-26更新
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3卷引用:浙江省温州市普通高中2023届高三下学期3月第二次适应性考试数学试题
2023·全国·模拟预测
解题方法
6 . 已知半圆
与直线
相交于A,B两点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55268440775297514ac28586e85a8bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e969938ac5f3eb429370e2e314bf23.png)
A.直线![]() ![]() |
B.当点B为![]() ![]() |
C.![]() |
D.线段AB长度的最小值为4 |
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解题方法
7 . 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)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-03-26更新
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8卷引用: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
8 . 已知
,
,设
,
,
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5addd0c822fa3c5ac9c7db649f6682cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498634e4ed9d425d5e619aa45d4b5366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14390e9b6b44472bdc7a131133ab39b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87cd14dfc0024459f9d8e594c95c5106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8b9f6c2019cef89757744046bde316.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.以![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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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)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-03-21更新
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4卷引用:贵州省毕节市2023届高三诊断性考试(二)数学(文)试题
名校
10 . 已知圆
与
轴的左右交点分别为
在圆内,以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54329a84abb204cecb237b2bf2ff2bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b018b1e7d9754e51fb3e444d8f06ca.png)
A.过![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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2023-03-19更新
|
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