1 . 选修4-1:几何证明选讲
如图,过圆
外—点
作圆的切线
,切点为
,割线
、割线
分别交圆
于
与
、
与已知
的垂直平分线
与圆
相切.
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573080591360000/1573080597676032/STEM/d3f5948a8c624c4abb6ab3f1229a1bf4.png)
(1)求证:
;
(2)若
,求
的长.
如图,过圆
![](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/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573080591360000/1573080597676032/STEM/d3f5948a8c624c4abb6ab3f1229a1bf4.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573080591360000/1573080597676032/STEM/8aeb519517d44d1f9543eea5aa4ed3a3.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/10/19/1573080591360000/1573080597676032/STEM/62c0c1c95ff844e9ab4a5fe31c9d665f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
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2 . 选修4-1:几何证明选讲
如图,等边三角形
内接于圆
,以
为切点的圆
的两条切线交于点
,
交圆
于点
.
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/81a2034bb5884dbb8fb950289d74455b.png)
(1)求证:四边形
为菱形;
(2)若
,求等边三角形
的面积.
如图,等边三角形
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/b14f487803734a408ef11a0a24ab6cb3.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/d8c5684dcc7844df9dcdca6cc57f4e99.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/b9aaa9937d4947ac8e9fdebd4a81c03e.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/d8c5684dcc7844df9dcdca6cc57f4e99.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/0d182b60a23f4c2dbfd61088479c4ccb.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/7b36e47cb3b449099c42caa838f69826.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/d8c5684dcc7844df9dcdca6cc57f4e99.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/da51e06ba72147f0b7cf56d180428ad0.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/81a2034bb5884dbb8fb950289d74455b.png)
(1)求证:四边形
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/aae1360d683b409d8355fbf24ba4bec4.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/6be006f766f04a38b903a6283d9e7b33.png)
![](https://img.xkw.com/dksih/QBM/2016/10/18/1573077170307072/1573077331746816/STEM/b14f487803734a408ef11a0a24ab6cb3.png)
您最近一年使用:0次
3 . 选修4-1:几何证明选讲
已知:如图,在
中,
,以
为直径的
交
于点
,过点
作
,垂足为
,连结
交
于点
.求证:
![](https://img.xkw.com/dksih/QBM/2016/10/15/1573071473934336/1573071480078336/STEM/37ca4f1c9df9480da54a79ec9dbd72d3.png)
(Ⅰ)
是
的切线;
(Ⅱ)
.
已知:如图,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9c90cfd058a3f1158b76f7e23819eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9eadc2feca23f49e36ade66f66512e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1642eec556eb252de9c1ab7bb5ca90b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/10/15/1573071473934336/1573071480078336/STEM/37ca4f1c9df9480da54a79ec9dbd72d3.png)
(Ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
(Ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce78c2b25f0293eb4a3f54c4bb68e9f6.png)
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4 . 选修4-1:几何证明选讲
如图,
是圆
的切线,
是切点,
于
,割线
交圆
于
,
两点.
![](https://img.xkw.com/dksih/QBM/2016/10/12/1573066403643392/1573066409648128/STEM/4f7ac266e4304e4da54a959e3412ec3f.png)
(1)证明:
,
,
,
四点共圆;
(2)设
,
,求
的大小.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7305a9b45c4f1727bc16a77ed72d67d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2016/10/12/1573066403643392/1573066409648128/STEM/4f7ac266e4304e4da54a959e3412ec3f.png)
(1)证明:
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58df88aa9b148ac595132420d49c0994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3611735010480e571323d62a6429d60f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5c699ca6aa6c9c913525e588f03487.png)
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5 . 选修4-1:几何证明选讲
如图,
切
于点
,直线
交
于
,
两点,
,垂足为
,
.
![](https://img.xkw.com/dksih/QBM/2016/10/12/1573065985245184/1573065991389184/STEM/f060b0b4b8fb42a585ee3873a0ef1fdd.png)
(1)证明:
;
(2)若
,求
.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fba66a2f7f315f2db900fd56c1cd8e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fba66a2f7f315f2db900fd56c1cd8e8.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/71deef18df0a35ef131b5653aa0b0202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e897262b135f6b846fa67074d99cae5f.png)
![](https://img.xkw.com/dksih/QBM/2016/10/12/1573065985245184/1573065991389184/STEM/f060b0b4b8fb42a585ee3873a0ef1fdd.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2578f85b4c6cfb9fdae5f7a2d72fdb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
您最近一年使用:0次
2016-12-04更新
|
148次组卷
|
2卷引用:2016届山西右玉一中高三冲刺压轴卷四数学(理)试卷
6 . 选修4-1:几何证明选讲
如图,圆O的直径AB=10,P是AB延长线上一点,BP=2,割线PCD交圆O于点C,D,过点P作AP的垂线,交直线AC于点E,交直线AD于点F.
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/143a006c345a4629938cf139a5384682.png)
(1)当
时,求
的度数;
(2)求
的值.
如图,圆O的直径AB=10,P是AB延长线上一点,BP=2,割线PCD交圆O于点C,D,过点P作AP的垂线,交直线AC于点E,交直线AD于点F.
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/143a006c345a4629938cf139a5384682.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/5b2408541b954b07a1f334214d24bfb9.png)
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/cc193ddcc1214d308bd44c5873039f02.png)
(2)求
![](https://img.xkw.com/dksih/QBM/2016/10/10/1573062083010560/1573062088466432/STEM/ca290cd539e94275b427e721c73b34e9.png)
您最近一年使用:0次
7 . 选修4—1:几何证明选讲
如图,圆周角∠BAC的平分线与圆交于点D,过点D的切线与弦AC的延长线交于点 E,AD交BC于点F.
![](https://img.xkw.com/dksih/QBM/2016/10/8/1573057419362304/1573057425883136/STEM/f6eafe135fff4714b05b98b872aa84c7.png)
(1)求证:BC∥DE;
(2)若D、E、C、F四点共圆,且
,求∠BAC.
如图,圆周角∠BAC的平分线与圆交于点D,过点D的切线与弦AC的延长线交于点 E,AD交BC于点F.
![](https://img.xkw.com/dksih/QBM/2016/10/8/1573057419362304/1573057425883136/STEM/f6eafe135fff4714b05b98b872aa84c7.png)
(1)求证:BC∥DE;
(2)若D、E、C、F四点共圆,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05355880ffa1ab4c0fb2b4c62f78e68.png)
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8 . 如图,直线
与直径为4的圆
交于
两点,且
,直线
切圆
于点
.
![](https://img.xkw.com/dksih/QBM/2016/9/26/1573040539918336/1573040546463744/STEM/47971440866b4a2d9aa8673b8c23c188.png)
(1)证明:
;
(2)若
,延长
交
于点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2899e607479d8d1c47d954ae9ebb7144.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2016/9/26/1573040539918336/1573040546463744/STEM/47971440866b4a2d9aa8673b8c23c188.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a109c829d652632a88ade6924fcda206.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d36d529ae753d360c14b243c1ef7992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18addf44c31c2dc0e4905b365e4801a0.png)
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9 . 如图,已知
与圆
相切于点
,经过点
的割线
交圆
于点
,
的平分线分别交
于点
.
![](https://img.xkw.com/dksih/QBM/2016/9/25/1573040149938176/1573040156450816/STEM/b156e09df069445381fd632c76ff7d45.png)
(1)证明:
;
(2)若
,求
的值.
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec238becef90467d2b443e906f18ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://img.xkw.com/dksih/QBM/2016/9/25/1573040149938176/1573040156450816/STEM/b156e09df069445381fd632c76ff7d45.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a7e533c2c82c39e6ba9ae107dd4483.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d947a7d8dc459d19e7d5be243a122c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce020c141e2db008dc7c8a27204a06b.png)
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10 . 已知
为圆
的直径,点
为圆周上一点,
于点
,过点
作圆
的切线交
的延长线于点
,过点
作
垂直
的延长线于点
,求证:
![](https://img.xkw.com/dksih/QBM/2016/9/25/1573039501918208/1573039508242432/STEM/cafa39f8985a4c03b1c574e1a645a739.png)
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17be90850a55d8b037e15d45de2bab0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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