1 . 选修4-1:几何证明选讲
如图,在圆内接梯形
中,
,过点
作圆的切线与
的延长线交于点
,若
.
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573135186075648/1573135192621056/STEM/372423e4bab74565b97a7e6485573625.png)
(1)求证:梯形
为等腰梯形;
(2)求弦
的长.
如图,在圆内接梯形
![](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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34e2dbfad0bc120f503e4d23b384280.png)
![](https://img.xkw.com/dksih/QBM/2016/11/9/1573135186075648/1573135192621056/STEM/372423e4bab74565b97a7e6485573625.png)
(1)求证:梯形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2 . 选修4-1:几何证明选讲
如图,圆周角
的平分线与圆交于点
,过点
的切线与弦
的延长线交于点
,
交
于点
.
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273014292480/1572273020624896/STEM/250ee19ea09e4222bacc8433628290df.png)
(1)求证:
;
(2)若
,
,
,
四点共圆,且
,求
.
如图,圆周角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e57541260bfadf7624c86769eec0fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9febb0e53890d2fb72fdfd7f0aa88acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b693717f525facc79b9a500ed998b109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588a2119bc5e8cdf4731828b195a7892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
![](https://img.xkw.com/dksih/QBM/2015/10/28/1572273014292480/1572273020624896/STEM/250ee19ea09e4222bacc8433628290df.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa9132693acc1c5c9f9b50445cf98e2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2391c0e2fc44598610d519dacb778062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14da8b9947feb556eb2669fcb6ba6277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e57541260bfadf7624c86769eec0fc1.png)
您最近一年使用:0次
2016-12-04更新
|
90次组卷
|
3卷引用:2016届吉林省实验中学高三上学期第一次模拟理科数学试卷1
3 . 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
4 . 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)
您最近一年使用:0次
5 . 选修4-1:几何证明选讲
如图,弦
与
相交于圆
内一点
,过
作
的平行线与
的延长线交于点
,且
.
![](https://img.xkw.com/dksih/QBM/2016/10/14/1573070185062400/1573070191312896/STEM/2f535e00e20e402fa2876f10f940d461.png)
(1)求证:
;
(2)若
,求
长.
如图,弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d86a0a3e867a448094f74a54a1fee64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a44be92f38e063a01b8cd67418815cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81574a3738c0a314293ff7c74248971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ebbd866e455cf80ea669c9f56f792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588a2119bc5e8cdf4731828b195a7892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b693717f525facc79b9a500ed998b109.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab653ffa6acf8b28096ff54719579d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb7ed0b94d3ad3ee9de3d639fd46e70.png)
![](https://img.xkw.com/dksih/QBM/2016/10/14/1573070185062400/1573070191312896/STEM/2f535e00e20e402fa2876f10f940d461.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95b518bd7489451988595ff806b58af.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4023974aa3cdda838ebb84f467ab3456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6321b1b15b47a98a86268229633daf77.png)
您最近一年使用:0次
2016-12-04更新
|
97次组卷
|
2卷引用:2016届陕西省高三高考全真模拟(五)考试数学(理)试卷
6 . 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
7 . 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)
您最近一年使用:0次
8 . 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)
您最近一年使用:0次
9 . 如图,AB为⊙O的直径,过点B作⊙O的切线BC,OC交⊙O于点E,AE的延长线交BC于点D.
![](https://img.xkw.com/dksih/QBM/2016/9/18/1573029659099136/1573029664481280/STEM/26e7223a52e742e0aa322cdfd1b4c576.png)
(Ⅰ)求证:CE2=CD•CB
(Ⅱ)若D为BC的中点,且BC=2
,求AB与DE的长.
![](https://img.xkw.com/dksih/QBM/2016/9/18/1573029659099136/1573029664481280/STEM/26e7223a52e742e0aa322cdfd1b4c576.png)
(Ⅰ)求证:CE2=CD•CB
(Ⅱ)若D为BC的中点,且BC=2
![](https://img.xkw.com/dksih/QBM/2016/9/18/1573029659099136/1573029664481280/STEM/62d59126a38745629a9bfe1e08752716.png)
您最近一年使用:0次
10 . 选修4-1:几何证明选讲
如图,
是
的直径,
是
上的点,
是
的平分线,过点
作
,交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/9/14/1573024802406400/1573024808894464/STEM/84902b9bf855499b96ba3e3e126b5b6a.png)
(1)求证:
;
(2)过
点作
,垂足为
,求证:
.
如图,
![](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/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6062582a0a1679aa777451f25008411d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535a65c61f47d2b893706d4bc3499e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/9/14/1573024802406400/1573024808894464/STEM/84902b9bf855499b96ba3e3e126b5b6a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/412e83a76b740809cc67f48053586e4c.png)
(2)过
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2016-12-04更新
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2卷引用:2016届湖南宁远县一中高三下学期模拟考试数学(理)试卷