2013·宁夏银川·模拟预测
1 . 几何证明选讲.
如图,直线
过圆心
,交⊙
于
,直线
交⊙
于
(不与
重合),直线
与⊙
相切于
,交
于
,且与
垂直,垂足为
,连结
.
![](https://img.xkw.com/dksih/QBM/2013/7/23/1571306231545856/1571306237468672/STEM/3e839a131716406a92308c1b21003b8c.png)
求证:(1)
;
(2)
.
如图,直线
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2013/7/23/1571306231545856/1571306237468672/STEM/3e839a131716406a92308c1b21003b8c.png)
求证:(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e3c6f8a0f45cbcd1e09a3939b2147c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1384585ba99937ac66536d54b3f808.png)
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13-14高二上·黑龙江双鸭山·期末
2 . 如图,用与底面成
角的平面截圆柱得一椭圆截线,则该椭圆的离心率为
![](https://img.xkw.com/dksih/QBM/2013/3/27/1571163345985536/1571163351212032/STEM/b4a704e56f5b4b2ba073a7bbea01d0a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d0da8d77360826b3c500dcf812dc34.png)
![](https://img.xkw.com/dksih/QBM/2013/3/27/1571163345985536/1571163351212032/STEM/b4a704e56f5b4b2ba073a7bbea01d0a3.png)
A.![]() | B.![]() | C.![]() | D.非上述结论 |
您最近一年使用:0次
2012·辽宁大连·二模
3 . 已知
为半圆
的直径,
,
为半圆上一点,过点圆的切线
,过
点作
于
,交半圆于点
.
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
平分
;
(2)求
的长.
![](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/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dae94a9c26b6dd1dbcdebd20373033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b783dc89ca6934572319d2e9dfd22.png)
![](https://img.xkw.com/dksih/QBM/2016/1/15/1572438604488704/1572438610206720/STEM/f7850f4104584980a61f7e182b8cd92b.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd777f9452cb8b56d8a0d3b07d15c19f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2016-12-03更新
|
694次组卷
|
13卷引用:2012届辽宁省大连市沈阳市高三第二次模拟考试理科数学试卷
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9-10高二下·河南焦作·期末
4 . 已知,如图,在梯形ABCD中,AD∥BC,AD=3,BC=7,点M,N分别是对角线BD,AC的中点,则MN=
![](https://img.xkw.com/dksih/QBM/2014/11/10/1571892604821504/1571892610424832/STEM/efd44bfec3544256b3ebb2de320a755f.png)
![](https://img.xkw.com/dksih/QBM/2014/11/10/1571892604821504/1571892610424832/STEM/efd44bfec3544256b3ebb2de320a755f.png)
A.2 | B.5 | C.![]() | D.![]() |
您最近一年使用:0次
9-10高二下·河南焦作·期末
5 . 如图,在△ABC中,AB=3,AC=4,BC=5,AD平分∠BAC,则BD的值为
![](https://img.xkw.com/dksih/QBM/2012/6/12/1570883349635072/1570883354894336/STEM/915ae46cb88b4b9697ae53a813f066af.png)
![](https://img.xkw.com/dksih/QBM/2012/6/12/1570883349635072/1570883354894336/STEM/915ae46cb88b4b9697ae53a813f066af.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2012·河北衡水·一模
6 . 如图,
是圆的两条平行弦,
,
交
于
、交圆于
,过
点的切线交
的延长线于
,
,
.
![](https://img.xkw.com/dksih/QBM/2013/1/21/1571105310400512/1571105316200448/STEM/07621d023a264552a14e51ad914afbed.png)
(1)求
的长;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c4cd264c97c1f261229925cc5a6761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d1ee2efdb2c3b7c90198efc88010db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1299069da883e3285cea3f2d54ad1c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://img.xkw.com/dksih/QBM/2013/1/21/1571105310400512/1571105316200448/STEM/07621d023a264552a14e51ad914afbed.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2e1083b773e16d1e385072652f7319.png)
您最近一年使用:0次
12-13高三上·海南省直辖县级单位·期末
7 . 已知△
内接于⊙
,
为⊙
的切线,
为直线
上一点,过点
作
的平行线交直线
于点
,交直线
于点
.
![](https://img.xkw.com/dksih/QBM/2012/2/16/1570743170301952/1570743176052736/STEM/9d1f0badb2d44529a5cbed434b198e61.png?resizew=248)
(Ⅰ)如图甲,求证:当点
在线段
上时,
;
(Ⅱ)如图乙,当点
在线段
的延长线上时,(Ⅰ)的结论是否仍成立?如果成立,请给予证明;如果不成立,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bf58e5fea1189b33cf55d86335452f.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bf58e5fea1189b33cf55d86335452f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2012/2/16/1570743170301952/1570743176052736/STEM/9d1f0badb2d44529a5cbed434b198e61.png?resizew=248)
(Ⅰ)如图甲,求证:当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ec004a08fa1e44677983a09cac00d1.png)
(Ⅱ)如图乙,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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12-13高三上·辽宁本溪·期末
8 . 如图,D,E分别是AB,AC边上的点,且不与顶点重合,已知
,
为方程
的两根,
(1) 证明
四点共圆;
(2) 若
,求
四点所在圆的半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b662797f6678e2475f4631563694e37a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea77ba313fcc751481ac1ca214df3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6ed516191ef7d1805cd7cf945232d79.png)
(1) 证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b226772d996dafd09c37b5bad17d54fd.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96f402d5cb7a7d2ea738391f39a00897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b226772d996dafd09c37b5bad17d54fd.png)
![](https://img.xkw.com/dksih/QBM/2012/2/15/1570738702614528/1570738707406848/STEM/bd53a0f954f849d9b5e078e4efc9698f.png?resizew=150)
您最近一年使用:0次
12-13高三上·黑龙江大庆·期末
9 . 如图所示,
为圆
的切线,
为切点,
是过点
的割线,
,
,
的平分线与
和圆
分别交于点
和
.
(I)求证:
;
(II)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e61620a272dada8d4b9a9fab6379dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8c80f9e6851c492ab8b4279bd710b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4264b17023866fda6317e9f6f4faa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2430dbcc9e5f82086db4b2d3519aaf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b7d6f0ae1e7cc183fbcf5ce0d275e5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146a63bac5ecd239f2696801e8eaa0b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
(I)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42724dea3f6b338089cb5a4537ccb908.png)
(II)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba9defcaceb6ea74e71c8db277be9b7.png)
![](https://img.xkw.com/dksih/QBM/2012/1/26/1570697157206016/1570697162760192/STEM/ed19380186e947049609310abb3fa270.png?resizew=168)
您最近一年使用:0次
10-11高二下·河南郑州·阶段练习
10 . .选修4-1:几何证明选讲
已知
ABC中,AB=AC, D是
ABC外接圆劣弧AC弧上的点(不与点A,C重合),延长BD至E.
(1)求证:AD的延长线平分
CDE;
(2)若
BAC=30°,
ABC中BC边上的高为2+
,
求
ABC外接圆的面积.
已知
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/b18484264a8a4d4b96a55e77f757e548.png)
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/b18484264a8a4d4b96a55e77f757e548.png)
(1)求证:AD的延长线平分
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/fb0457dd18ff453aa76a046a9e445e0a.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/fb0457dd18ff453aa76a046a9e445e0a.png)
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/b18484264a8a4d4b96a55e77f757e548.png)
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/4e5551f105934d3a9c4ebe6be17ac12d.png)
求
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/b18484264a8a4d4b96a55e77f757e548.png)
![](https://img.xkw.com/dksih/QBM/2012/3/22/1570818204868608/1570818210324480/STEM/37f0b721192d4235a13bfbfd0f01f5d5.png)
您最近一年使用:0次