选修4-1:几何证明选讲
已知
中,
,
是
外接圆劣弧
上的点(不与点
重合),延长
至
,延长
至
.
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993393975296/1572993400332288/STEM/1afd1d951ceb4b30898ba321ce6eb3fd.png)
(1)求证:
;
(2)若
,
中
边上的高为
,求
外接圆的面积.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993393975296/1572993400332288/STEM/1afd1d951ceb4b30898ba321ce6eb3fd.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993393975296/1572993400332288/STEM/6884cfed20cd46b8ab078e06d511891f.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993393975296/1572993400332288/STEM/1d9b35d6bd424107abd3d87504c95643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993393975296/1572993400332288/STEM/ee879a4715cf4e3abb17215041d4f3fb.png)
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993393975296/1572993400332288/STEM/27500c9f971241e7ad4eb293882bc7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
更新时间:2016-12-04 19:26:10
|
【知识点】 几何证明选讲
相似题推荐
解答题-问答题
|
适中
(0.64)
【推荐1】如图,已知
与圆
相切于点
,经过点
的割线
交圆
于点
、
,∠APC的平分线分别交
、
于点
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/020aed35-4bf3-46e7-93d0-22a4e8ee31f1.png?resizew=247)
(1)证明:∠ADE=∠AED;
(2)若AC=AP,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/7f9e8449aad35c5d840a3395ea86df6d.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/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/020aed35-4bf3-46e7-93d0-22a4e8ee31f1.png?resizew=247)
(1)证明:∠ADE=∠AED;
(2)若AC=AP,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce020c141e2db008dc7c8a27204a06b.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.64)
【推荐2】选修4-1:几何证明选讲
已知如图,四边形
是圆
的内接四边形,对角线
交于点
,直线
是圆
的切线,切
点为
,
.
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(1)若
,求
的长;
(2)在
上取一点
,若
,求
的大小.
已知如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac07c8a89cc64fde478fff9da45b7ad.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/32da3ad1210e409d949bd8c5de8ab84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)在
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/4342a0ab72484c1aa017103a09453653.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c8c6545fd3364b64a3783119404c785b.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/35c1cfc7bf4e4d2aa008c79a2453f3e7.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c711092c86f64a96bd8dc66156749261.png)
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