1 . 选修4-1:几何证明选讲
如下图,
于点
,以
为直径的圆
与
交于点
.
![](https://img.xkw.com/dksih/QBM/2016/11/17/1573155798556672/1573155804323840/STEM/15511e9c79b749bfb0abb99dcb781c61.png)
(1)求证:
;
(2)若
,点
在线段
上移动,
,
与圆
相交于点
,求
的最大值.
如下图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e496a2e3609bbc24eb90c83b35b8ad9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2016/11/17/1573155798556672/1573155804323840/STEM/15511e9c79b749bfb0abb99dcb781c61.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/11/17/1573155798556672/1573155804323840/STEM/c2be881d320b4c73a0eadbbb76ebe8de.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/11/17/1573155798556672/1573155804323840/STEM/7767686b491748038198638e9ef5b00c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/11/17/1573155798556672/1573155804323840/STEM/058c1a0205b04672b42795f2454c381f.png)
![](https://img.xkw.com/dksih/QBM/2016/11/17/1573155798556672/1573155804323840/STEM/24a9b3e480384978b4de6e2b06256a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360496a4f5cc8a5faca5e089ae4f9531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2016/11/17/1573155798556672/1573155804323840/STEM/04a32cc30f734c968ab82b13f4ea2bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360496a4f5cc8a5faca5e089ae4f9531.png)
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2 . 选修4-1:几何证明选讲.
如图,在
中,
是
的角平分线,
的外接圆交
于点
,
.
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/0794bda203b944349d49efad284b90f6.png)
(Ⅰ)求证:
;
(Ⅱ)当
时,求
的长.
如图,在
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/f985da69e203446bac2db2bae9103d24.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/3679c3ffff3f407ebbf7421681ce9ddd.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/050e77dbd70c46dfb2e45d4ffbd899c7.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/17bacc3ffab8425d9dc4eabca7bc7ef9.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/baa5fcd72fac467fbd321f3032a5214c.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/1cd0ffa89dfc4920a2626d9ec294a2de.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/abbe4d5299254703affa13ee0e4fe5fc.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/0794bda203b944349d49efad284b90f6.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/ccf630fe2326440b9955984b0d0e39c8.png)
(Ⅱ)当
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/c20af89a87ab47dcb26ebcda13f28638.png)
![](https://img.xkw.com/dksih/QBM/2016/2/15/1572478873812992/1572478880178176/STEM/1c5f516ab37146f1b81099a60b7ccee6.png)
您最近一年使用:0次
2016-12-04更新
|
197次组卷
|
2卷引用:2016届广西武鸣县高级中学高三9月考理科数学试卷
3 . 如图,已知AB是⊙O的直径,CD是⊙O的切线,C为切点,连接AC,过点A作AD⊥CD于点D,交⊙O于点E.
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938056192/STEM/6ce110d87a8941e39283869eb7a414c1.png)
(Ⅰ)证明:∠AOC=2∠ACD;(Ⅱ)证明:AB•CD=AC•CE.
![](https://img.xkw.com/dksih/QBM/2015/3/27/1572039932092416/1572039938056192/STEM/6ce110d87a8941e39283869eb7a414c1.png)
(Ⅰ)证明:∠AOC=2∠ACD;(Ⅱ)证明:AB•CD=AC•CE.
您最近一年使用:0次
2016-12-03更新
|
437次组卷
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2卷引用:2015届广西梧州、崇左两市联考高三上学期摸底理科数学试卷
2013·河南郑州·一模
4 . 如图,在△ABC中,CD是∠ACB的平分线,△ACD的外接圆交BC于点E,AB=2AC.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560111501312/1572560117145600/STEM/e1066d69f14c4558aded214b8d4dc80a.png)
(Ⅰ)求证:BE=2AD;
(Ⅱ)当AC=1,EC=2时,求AD的长.
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572560111501312/1572560117145600/STEM/e1066d69f14c4558aded214b8d4dc80a.png)
(Ⅰ)求证:BE=2AD;
(Ⅱ)当AC=1,EC=2时,求AD的长.
您最近一年使用:0次
2016-12-02更新
|
376次组卷
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5卷引用:2016届广西来宾市高三上学期期末文科数学试卷
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