1 . 【选修4-1:几何证明选讲】
如图,P为圆外一点,PD为圆的切线,切点为D,AB为圆的一条直径,过点P作AB的垂线交圆于C、E两点(C、D两点在AB的同侧),垂足为F,连接AD交PE于点G.
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572379169292288/1572379175657472/STEM/cf86b095aa2b4379b571f4206b676f07.png)
(1)证明:PG=PD;
(2)若AC=BD,求证:线段AB与DE互相平分.
如图,P为圆外一点,PD为圆的切线,切点为D,AB为圆的一条直径,过点P作AB的垂线交圆于C、E两点(C、D两点在AB的同侧),垂足为F,连接AD交PE于点G.
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572379169292288/1572379175657472/STEM/cf86b095aa2b4379b571f4206b676f07.png)
(1)证明:PG=PD;
(2)若AC=BD,求证:线段AB与DE互相平分.
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2 . 选修4-1:几何证明选讲
如图,直线
与
相切于点
,
是
的弦,
的平分线
交
于点
,连结
,并延长与直线
相交于点
,若
,
.
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413164535808/1572413170311168/STEM/d3534f6eedf44e80a31ce4dbecbfaafd.png)
(1)求证:
;
(2)求弦
的长.
如图,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b8df24075e4eafe91ce9b5a4195d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2335610d92b3b6cddc6460ffd3af7a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa5694373bd78b1ca2180f831bf1c8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d86a0a3e867a448094f74a54a1fee64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2335610d92b3b6cddc6460ffd3af7a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31050fa2315bc1174bfed74c2eedb6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9febb0e53890d2fb72fdfd7f0aa88acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2335610d92b3b6cddc6460ffd3af7a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca66a268d6f46e0e9d5d9151b785be60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a5f897c14c15e6c2edb67ed035f7f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6b8df24075e4eafe91ce9b5a4195d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ecb1589c3cc179e2f62507020771e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59bc7efacae16c48593c99afc4b8ee7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b067abe01256d1ad644907067ca6b0.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572413164535808/1572413170311168/STEM/d3534f6eedf44e80a31ce4dbecbfaafd.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29d633e6dd7216e98ca234a937608df4.png)
(2)求弦
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d86a0a3e867a448094f74a54a1fee64.png)
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2016-12-03更新
|
570次组卷
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2卷引用:2015届江西省高安中学高三命题中心模拟押题一文科数学试卷
3 . 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/editorImg/2022/8/2/9a4d7e72-02d8-4427-9ec6-78288d954c03.png?resizew=139)
(1)求证:
;
(2)若
四点共圆,且弧
与弧
相等,求
如图,圆周角
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/9f391813265344e3b84b0add71f8735f.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/53a2deb9e45d47c5a5d523e5f3e9affb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/53a2deb9e45d47c5a5d523e5f3e9affb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/42a37ba17bed44ec8b1695afe12d8473.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/e9a7fb85543b434eb8d641b18020d179.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/fdf7e0242d064d49996745aea9a3a32a.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/dafb54ea36c244d6b6cc375a417274fc.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/2baab2bea819401da1ece84a3558ff91.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/9a4d7e72-02d8-4427-9ec6-78288d954c03.png?resizew=139)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/f134a28849784be185d26d443598825a.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/e08368f8215244b28f869c2170e623e4.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/42a37ba17bed44ec8b1695afe12d8473.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/dafb54ea36c244d6b6cc375a417274fc.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333241344/STEM/9f391813265344e3b84b0add71f8735f.png)
您最近一年使用:0次
2016-12-03更新
|
480次组卷
|
6卷引用:2015届黑龙江省哈尔滨九中高三第三次高考模拟理科数学试卷
4 . 如图所示,
为以
为直径的圆
的切线,
为切点,
为圆周上一点,
,直线
交
的延长线于点
.
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/a4ce8c32f06244e1a15242a05c5f3c2d.png)
(1)求证:直线
是圆
的切线;
(2)若
,
,求线段
的长.
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/f4d399a4d95f4e4986bc69e8addecbcb.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/d900b01e8d754989b68e7e5da50ae09a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/4796d7d1550545f5841f0c855f935413.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/1e63e56eea8e48aa93d8b128221a22d6.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/3fe9e2a5e7bd45349202edeae9b53e05.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/c9bded80d9854945bb7cc5c935b41258.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/e2ea61d9b5d34e7a804fb12b7f51d9e7.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/d900b01e8d754989b68e7e5da50ae09a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/6d6708a57d764cb6ae1494818111cfb8.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/a4ce8c32f06244e1a15242a05c5f3c2d.png)
(1)求证:直线
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/e2ea61d9b5d34e7a804fb12b7f51d9e7.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/4796d7d1550545f5841f0c855f935413.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/6e6758e09a3a4ee9a9f59155b6f7a204.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/390d78d8afa94721bed123c9f813853f.png)
![](https://img.xkw.com/dksih/QBM/2016/6/1/1572684181446656/1572684187820032/STEM/04fd07e407c74c8d9b3865d9ef7e322a.png)
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5 . 选修4-1:几何证明选讲
如图,
是圆
的直径,
是半径
的中点,
是
延长线上一点,且
,直线
与圆
相交于点
、
(不与
、
重合),
与圆
相切于点
,连结
,
,
.
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/6bf2e8a3131c4961abd5f245d2b2aaf1.png)
(Ⅰ)求证:
;
(Ⅱ)若
,求
.
如图,
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ef737b051413f81f8e473b7aa2bbfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.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/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884b508394b3ab50734b584d9ec783c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5c62f22d7afc5627fcb86599faa8e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be99fa94a1f3e4964fcc13a14fab9ba5.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/6bf2e8a3131c4961abd5f245d2b2aaf1.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/1dcb487989b7444c8509a3fb64741d88.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c360f6b10ef0051f26059b97c0aa570.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188398379008/1572188404424704/STEM/e7692430953648a69cb7cc5905e63f2b.png)
您最近一年使用:0次
2016-12-03更新
|
566次组卷
|
2卷引用:2015届黑龙江省哈尔滨市三中高三第四次模拟考试理科数学试卷
6 . 选修4-1:几何证明选讲
如图,在
中,
,以
为直径的圆
交
于点
,点
是
边的中点,连接
交圆
于点
.
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/5d33ff30059d4cac9918bc5566fc1a03.png)
(Ⅰ)求证:
是圆
的切线;
(Ⅱ)求证:
.
如图,在
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/b795d5170ea74e0e8ae5ac32c6998610.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/e166a52448f24d6aaf34c5b1f1d2bd89.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/cc4d42c8f44c4d89a5f831db226ff5fe.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/a06e96af970c4255ab0e1a25a0182cc4.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/f7c4c4ac5cb74dbea267c0635e8ee041.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/b8bea577d29844e395c7fe20cefe6d96.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/4f683afe39f94899bbe589b1116ed51d.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/d6f266ed4ce54a349855dcf395fa530b.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/1a8affa475dd441ab6bbcd06cd8aad47.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/a06e96af970c4255ab0e1a25a0182cc4.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/40cb78bd42834166ae60afb21a8c15be.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/5d33ff30059d4cac9918bc5566fc1a03.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/ab7882026c6445f0bf667ad98269ccfc.png)
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/a06e96af970c4255ab0e1a25a0182cc4.png)
(Ⅱ)求证:
![](https://img.xkw.com/dksih/QBM/2015/3/26/1572035386146816/1572035392274432/STEM/22bf2fb0368c4a5cb99a0d7c5356fb8a.png)
您最近一年使用:0次
2011高一·安徽黄山·学业考试
7 . 如图,⊙
与⊙
相交于点A和B,经过A作直线与⊙
相交于D,与⊙
相交于C,设弧
的中点为M,弧
的中点为N,线段CD的中点为K.
求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06e273fc52edb4e575f769b06e7248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b06e273fc52edb4e575f769b06e7248.png)
![](https://img.xkw.com/dksih/QBM/2011/8/25/1570290075320320/1570290080645120/STEM/5b13ca37fbd54e1b9adf3cfb6c931a49.png?resizew=363)
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8 . 【选修4-1:几何证明选讲】
如图,
的外接圆的切线AE与BC的延长线相交于点E,
的平分线与BC相交于点D,求证:
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572465752449024/1572465758142464/STEM/f9b757c96dcf48d2808e845a9fc61918.png)
(1)
;
(2)
.
如图,
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572465752449024/1572465758142464/STEM/94111b3ab67548709866ed3d28191d11.png)
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572465752449024/1572465758142464/STEM/7e083c8a3d204a26aab8d32429529202.png)
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572465752449024/1572465758142464/STEM/f9b757c96dcf48d2808e845a9fc61918.png)
(1)
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572465752449024/1572465758142464/STEM/55426a9899ed427aa980ed45de6e351d.png)
(2)
![](https://img.xkw.com/dksih/QBM/2016/1/25/1572465752449024/1572465758142464/STEM/6e7cbceb25bb4d56bea3f98f324bbd1b.png)
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9 . 选修4-1:几何证明选讲
如图,
是
的内接三角形,
是
的切线,
是线段
上一点,经过
作
的平行直线与
交于
点,与
交于
点.
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573010431688704/1573010437718016/STEM/7967b2263a6a46c8b405174ab067c221.png)
(1)求证:
;
(2)若
,求
的面积.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7bf58e5fea1189b33cf55d86335452f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.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/2016/9/9/1573010431688704/1573010437718016/STEM/7967b2263a6a46c8b405174ab067c221.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c91f17f78e4b800a20a7726dcad30d0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db8e8ffcb352356258b8dcc374d1506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
您最近一年使用:0次
2016-12-04更新
|
233次组卷
|
2卷引用:2016届云南省高三第二次统一检测数学(理)试卷
10 . 选修4-1:几何证明选讲
如图,已知⊙
和⊙
相交于
两点,
为⊙
的直径,直线
交⊙
于点
,点
为弧
中点,连结
分别交⊙
、
于点
,连结
.
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/0788126bbbee4b6ab1a24012150760b9.png)
(Ⅰ)求证:
;
(Ⅱ)求证:
.
如图,已知⊙
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/21dbc307c442440bb71ba4e3668b1d75.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/72d92c8dfb6f46f6bfdb5f66bd0dca18.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/ae28a27e8e114a6790fa164387cb9124.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/21dbc307c442440bb71ba4e3668b1d75.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/ee413e70c134433e87e80ec487fefaca.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/23f19740df0840c1a3ad61d7507572d0.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/4ef4f3f4f55e417d845c7d87be341805.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/d0ce8c3b127649f48eec6b5bcca9e4f4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/7690c973d5b846d5956897cc35c7df0f.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/0788126bbbee4b6ab1a24012150760b9.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/b82f9a16cc5a40759dfde97e13b611b7.png)
(Ⅱ)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c42772cd27f940aa9d287ee79e2fd3f7.png)
您最近一年使用:0次