1 . 选修4-1:几何证明选讲
如图,过点
作圆
的割线
与切线
,
为切点,连接
,
,
的平分线与
,
分别交于点
,
,其中
.
![](https://img.xkw.com/dksih/QBM/2015/3/25/1572031037652992/1572031043420160/STEM/5996f1f3c9e244e0a3d90f4a4bec5612.png)
求证:
;
求
的大小.
如图,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab653ffa6acf8b28096ff54719579d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81574a3738c0a314293ff7c74248971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e701290896a6a607a80c6556e833b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caef922685cef76f1ad8475c29bd04a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afa86900c651a7ce4a2a180e06f9008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c065b293986a6728dae546acc0b199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d9ef421906bd73837cdba683037917.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4afa86900c651a7ce4a2a180e06f9008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c065b293986a6728dae546acc0b199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b309a69bd4786e90412a810e8ad0600c.png)
![](https://img.xkw.com/dksih/QBM/2015/3/25/1572031037652992/1572031043420160/STEM/5996f1f3c9e244e0a3d90f4a4bec5612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1baca09215d12421a58bd6a48ae16c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd133f93f01cc7cfd566e8aaf7629000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac0c12379ff58d8ddf66547d7a873baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea899a0aa6359022562ecf806c9e517e.png)
您最近一年使用:0次
2019-01-30更新
|
256次组卷
|
2卷引用:2015届吉林省长春市普通高中高三质量监测(二)理科数学试卷
2 . 如图,
为
外一点,
是切线,
为切点,割线
与
相交于点
,
,且
,
为线段
的中点,
的延长线交
于点
,若
,则![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/f32e92fd1a6c450aa26df035d1269dea.png?resizew=37)
__________ ;![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/4d53185f6bc64ef4a9b578e6b7c1a31d.png?resizew=71)
_________ .
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/1d3753cd3bba4b28839998d4bc815be1.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/a290c5c8df1a42949b9d211ae070148a.png?resizew=25)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/46a2b7435d4649faae6ef43b9e7ed8ba.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/1b4a4d430d2c4df292811eca03a4ea1b.png?resizew=37)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/39dc1386bd7b4f7297765b191b06a438.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/15c513a735ea40f1b29ae719c45e5f32.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/2d62063d16e84187b23d371a12418680.png?resizew=71)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/4de392ecfa0b4bcbba9ca723a52aa735.png?resizew=17)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/89876b0b808a434fa4643e41e90f63bf.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/0dfdc0d262a84452bf062ba8ce9b2cc9.png?resizew=28)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/3288a2058455442d873cf887579060b3.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4559ab08021b52736d249a6e4424892.png)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/f32e92fd1a6c450aa26df035d1269dea.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/4d53185f6bc64ef4a9b578e6b7c1a31d.png?resizew=71)
![](https://img.xkw.com/dksih/QBM/2015/8/6/1572201374056448/1572201379741696/STEM/2a22a27640444493a2705eae2b7cb50e.png?resizew=171)
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3 . (几何证明选讲选做题)如图,PA与圆
相切于A,PCB为圆
的割线,并且不过圆心
,已知
,
,
,则圆
的半径等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8a127b3fc5dc9e8b4f902adb54ad7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967f74b8993c61634ceed95edca05ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5064f5ce5ac8428e277fd578da84ec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2015/5/13/1572103208280064/1572103214129152/STEM/d6528b5aa76b436a85f2e95aee72be56.png?resizew=205)
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4 . 如图,已知AB是⊙O的直径,CD是⊙O的切线,C为切点,连接AC,过点A作AD⊥CD于点D,交⊙O于点E.
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938056192/STEM/6ce110d87a8941e39283869eb7a414c1.png)
(Ⅰ)证明:∠AOC=2∠ACD;(Ⅱ)证明:AB•CD=AC•CE.
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938056192/STEM/6ce110d87a8941e39283869eb7a414c1.png)
(Ⅰ)证明:∠AOC=2∠ACD;(Ⅱ)证明:AB•CD=AC•CE.
您最近一年使用:0次
2016-12-03更新
|
437次组卷
|
2卷引用:2015届广西梧州、崇左两市联考高三上学期摸底理科数学试卷
5 . 选修4-1:几何证明选讲
如图,
0是△ABC的外接圆,AB = AC,延长BC到点D,使得CD = AC,连结AD交
O于点E.求证:BE平分
ABC
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70c6a16eae72a585ea25c9982a97c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70c6a16eae72a585ea25c9982a97c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff522636907ba2f6cbcbc1f443d6e05b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/24/1572022242369536/1572022248505344/STEM/3e3045be422b46bfac6fc29749861deb.png)
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6 . (几何证明选讲选做题)如图,点
都在圆O上,过点C的切线交AB的延长线于点D,若
,
,
,则线段AC的长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e1a727ba332984ad857b3d25344d.png)
![](https://img.xkw.com/dksih/QBM/2015/3/24/1572021623480320/1572021629394944/STEM/f7a5bb9ba4ec41bdb7890511914e1f37.png?resizew=142)
您最近一年使用:0次
2012·宁夏银川·一模
7 . 如图,A,B,C,D四点在同一圆上,
与
的延长线交于点
,点
在
的延长线上.
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/dbe84fa9a7234eecb3542d045f576190.png)
(1)若
,求
的值;
(2)若
,证明:
.
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/3959f0469da944df9869dc3fc5c0c0f0.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/e0bea0a27c90469b8eac6942c0c7301a.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/b6dc0f1e71d74eb9a6a9f2bf2884d5eb.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/5ce69915a36b4da19860d4b41c0ad358.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/2a007b253c644618b8bbe16c5741a2b9.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/dbe84fa9a7234eecb3542d045f576190.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/065225e99266493081e4c369273fc8e5.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/785220f916254bce9c3c65e2bd7be08d.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/74858fd5b2314c268aff8a3a49676f3b.png)
![](https://img.xkw.com/dksih/QBM/2014/10/29/1571885855260672/1571885860954112/STEM/995d49f3b9b74862b7817e5b93a1ef3b.png)
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