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,
为圆
的直径,
为圆
外一点,过
点作
于
,交圆
于
点,
交圆
于
点,
交
于
点.
![](https://img.xkw.com/dksih/QBM/2017/12/23/1844447098101760/1846014722129920/STEM/f07f1227e1fe48a49037e2af8a476901.png?resizew=149)
(Ⅰ)求证:
;
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e4b16c2c6c9bd089da78122e9d2511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2017/12/23/1844447098101760/1846014722129920/STEM/f07f1227e1fe48a49037e2af8a476901.png?resizew=149)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16c2c0de404af921d19fa230aeb0f0d.png)
(Ⅱ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f986b0b0c6d79e0bfb5a37434c1dc7a7.png)
您最近一年使用:0次
3 . 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)
您最近一年使用:0次
11-12高三·宁夏银川·阶段练习
4 . 如图,
是圆的内接四边形,
,过
点的圆的切线与
的延长线交于
点,证明:
(Ⅰ)
;
(Ⅱ)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(Ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/681e40436b161294d9f712ee33a93e88.png)
(Ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a8f4be0d7d333333d616b6d43d4b67.png)
![](https://img.xkw.com/dksih/QBM/2012/2/21/1570758885466112/1570758891085824/STEM/7791c76107094152bfd2890c5f8682eb.png?resizew=231)
您最近一年使用:0次
11-12高三上·河南洛阳·期末
5 . 选修4-1:几何证明选讲
如图,在△ABC中,∠ABC=90°,以BC为直径的圆O交
![](https://img.xkw.com/dksih/QBM/2011/5/19/1570209865703424/1570209870929920/STEM/0ae9fb78725341509c77d9d9f138fd59.png?resizew=89)
AC于点D,设E为AB的中点.
(1)求证:直线DE为圆O的切线;
(2)设CE交圆O于点F,求证:CD·CA=CF·CE.
如图,在△ABC中,∠ABC=90°,以BC为直径的圆O交
![](https://img.xkw.com/dksih/QBM/2011/5/19/1570209865703424/1570209870929920/STEM/0ae9fb78725341509c77d9d9f138fd59.png?resizew=89)
AC于点D,设E为AB的中点.
(1)求证:直线DE为圆O的切线;
(2)设CE交圆O于点F,求证:CD·CA=CF·CE.
您最近一年使用:0次
11-12高三上·湖北·期中
6 . 如图所示,
是
的直径,
为
延长线上的一点,
是
的割线,过点
作
的垂线,分别交
延长线于点
,过点
作
的切线,切点为
.
(1)证明:
四点共圆;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02760ff3f69823422236f73890e484d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97bde5efa645a4c1ed6874088400d6a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50d6e29d79a1bd34722833d4c059644f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f900d8744217015f808d935656c2857b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421e73b36f0e1d4741d9dfc331b8a827.png)
![](https://img.xkw.com/dksih/QBM/2012/3/7/1570790532071424/1570790538108928/STEM/63190e7c46ec474c9057d98ba6603333.png?resizew=157)
您最近一年使用:0次
7 . 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