2022高一·全国·专题练习
1 . 如图,圆O的半径为4,点P是直径AB上定点,
,过P的直线与圆O交于C,D两点,则△COD面积的最大值为______ ;作弦
于H,则CH的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98823cbc09ca52df1fbcc446eba3e44f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0450988e0b981a685fea911c8f75a31.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/da6adb4d-1082-42e6-938d-b9ea3e681e91.png?resizew=189)
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2 . 如图,已知P是⊙O外一点,PD为⊙O的切线,D为切点,割线PEF经过圆心O,若PF=12,PD=4
,则圆O的半径长为________ 、∠EFD的度数为________ .
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844449280/STEM/50babfa772ae4afb895ef814fd2be01d.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2017/8/14/1758848846274560/1815497844449280/STEM/2e59fdd541db4f05b9668561ec290cfb.png?resizew=123)
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3 . 设
,称
为
的调和平均数.如图,C为线段AB上的点,且AC=a,CB=b,O为AB中点,以AB为直径作半圆.过点C作AB的垂线交半圆于D.连结OD,AD,BD.过点C作OD的垂线,垂足为E.则图中线段OD的长度是a,b的算术平均数,线段____ 的长度是a,b的几何平均数,线段___ 的长度是a,b的调和平均数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
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2019-01-30更新
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1256次组卷
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4卷引用:2010年高考试题分项版理科数学之专题六 不等式
(已下线)2010年高考试题分项版理科数学之专题六 不等式(已下线)2014年人教A版选修四4-1第一讲1.4练习卷湖南省长沙市第一中学2023-2024学年高一上学期第一次阶段性检测数学试题2010年普通高等学校招生全国统一考试(湖北卷)数学(理科)
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4 . 如图所示,圆O的直径
,C为圆周上一点,
.过C作圆的切线l,过点A作l的垂线AD,AD分别与直线l、圆交于点D,E,则∠DAC=________ ,线段AE的长为 _____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://img.xkw.com/dksih/QBM/2010/8/13/1569812977401856/1569812982235136/STEM/b1084673ea464040b4a398f5fb5fb4a5.png?resizew=145)
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2019-01-30更新
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828次组卷
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3卷引用:人教版2017-2018学年选修4-1模块综合检测(二)数学试题
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5 . 如图:AB为圆O的直径,PA为圆O的切线,PB与圆O相交于D,PA=3,
,则PD=________ ,AB=__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912ba153925c7c7a07ac77840ea08f02.png)
![](https://img.xkw.com/dksih/QBM/2013/7/17/1571286527213568/1571286532456448/STEM/1a8e9ba8fb9642dfafd288ecb53e4c71.png?resizew=200)
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2011·北京西城·二模
6 . 如图,
是圆
的直径,
在
的延长线上,
切圆
于点
.已知圆
半径为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e7d551cca653e2d638c8cab4c2fda8.png)
______ ;
的大小为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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