如图,点C是以AB为直径的
上一点,点D是AB的延长线上一点,在OA上取一点F,过点F作AB的垂线交AC于点G,交DC的延长线于点E,且
.
的切线;
(2)若点F是OA的中点,
,
,求EC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/222ff7807ef29f7d54cb40e0b9f955bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若点F是OA的中点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb3d1070981fed5ca65a34bb2282e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7d3139fc1407063768032264c10541.png)
2022·四川宜宾·中考真题 查看更多[9]
2022年四川省宜宾市中考数学真题(已下线)专题12 圆与正多边形-2022年中考数学真题分项汇编(全国通用)(第2期)(已下线)2022年四川省宜宾市中考数学变式题23-25山东省聊城市莘县2022-2023学年九年级上学期期中数学试题江苏省苏州市苏州工业园区星汇学校2022-2023学年九年级下学期3月月考数学试题2023年山东省枣庄市中考一模数学试题(已下线)专题32图形的相似(优选真题60道)-学易金卷:三年(2021-2023)中考数学真题分项汇编【全国通用】2023年湖北省荆州市荆州区中考三模数学试题2023年广西壮族自治区柳州市城中区中考数学四模模拟预测题
更新时间:2022-06-23 19:28:36
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相似题推荐
解答题-证明题
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名校
【推荐1】如图,在
中,
,以
为直径的
与
相交于点D,E为
上一点,且
.
的长;
(2)若
,求证:
为
的切线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c32843d4e9024715569e3e1a1369493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40800bd76a7ba9fd279b75c14187b602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a9608cad892644b4094ed6438b69572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b19c646bcb6160197fdf12a9cb31a0d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ae07cf730ebf2b2e28c6eb4b1c7c86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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【推荐2】如图,
为
直径,C、D为
上不同于A,B的两点,连接
,过点C作
,垂足为E,直线
与
相交于F点.
;②
;③点B是弧
的中点.请从中选择一个能证明直线
是
的切线的条件,并写出证明过程;
(2)若直线
是
的切线,当
,
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a840273d05974a5de82d471ed417e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0ea6d0ce9e95418b128fc1158e46784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d365cc7ce9022654091eee60bc1c2b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d64e0206b1814c35cc96bd2b6b12239a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5239826fca7bee4cab3a5a486cecb7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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【推荐1】如图,A、B、C是圆O上的三个点,AB=AC,过点C作∠BCD=∠ACB交⊙O于点D,连接AD交BC于点E,连接BD,延长DC至点F,使CF=AC,连接AF.
![](https://img.xkw.com/dksih/QBM/2022/6/21/3006076244140032/3082593293426688/STEM/bfa16697388741ea91f6e88b33099f5d.png?resizew=283)
(1)求证:AF是⊙O的切线;
(2)若AE=3,DE=5,求AB的长.
![](https://img.xkw.com/dksih/QBM/2022/6/21/3006076244140032/3082593293426688/STEM/bfa16697388741ea91f6e88b33099f5d.png?resizew=283)
(1)求证:AF是⊙O的切线;
(2)若AE=3,DE=5,求AB的长.
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【推荐2】如图,
是
的直径,点C是
延长线上的一点,点D是
上的一点,
,且
.
是
的切线;
(2)如图2,过
上的点P,作
的平行线,交
于点E,F,若
.求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd95dc30c0344788b94289c464a3158e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dbf31dfd36aa456a63bafea8bc1985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(2)如图2,过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aae584a5dbac72fca0aaf039c9a894d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6023cc692a2169e0c2e4ec1bdf9c3f1.png)
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【推荐1】已知等边
,M是边
延长线上一点,连接
交
的外接圆于点D,延长
至N,使得
,连接
,解答下列问题:
![](https://img.xkw.com/dksih/QBM/2022/4/27/2967265851310080/2972060622176256/STEM/13950e5c-8b1f-427b-ac97-91e0af09c125.png?resizew=237)
(1)猜想
的形状,并证明你的结论;
(2)请你证明
是
的切线;
(3)若
,求等边
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8093f8309f82b70b84accebab4247fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2261614e205f1493cb119c392835c8cb.png)
![](https://img.xkw.com/dksih/QBM/2022/4/27/2967265851310080/2972060622176256/STEM/13950e5c-8b1f-427b-ac97-91e0af09c125.png?resizew=237)
(1)猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12225a1a1eda07908309f8100cc34726.png)
(2)请你证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3304fc3e49633f113311e3150004df69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】(1)如图1,点E在正方形
内,且在对角线
右侧,连接
,
,
,以
,
为邻边作平行四边形
,连接
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/24/e25973e8-936e-477f-9230-0453aa9e11ad.png?resizew=378)
①试猜想
与
之间的位置关系为______;
②当
时,试探究
与
之间的数量关系并说明理由;
(2)如图2,点E在矩形
内,且在对角线
右侧,连接
,
,
,以
,
为邻边作平行四边形
,连接
,
,
,当
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992a19339adac3a2f1aab1fbc11b1c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a8586ae37f043ee8d5162dec22126b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/24/e25973e8-936e-477f-9230-0453aa9e11ad.png?resizew=378)
①试猜想
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3767efa8adfb71001ad39df9560cbf6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
(2)如图2,点E在矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992a19339adac3a2f1aab1fbc11b1c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fc56c77464a17a1e97b568762a3e2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a8586ae37f043ee8d5162dec22126b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da584d9d28ea06530805ea76383b22f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d58449243fb8b7c40c2308ae2779ee38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbbb584b05f9add2ef93c589f3ce3e69.png)
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【推荐1】如图,反比例函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
的图象经过点
,射线
与反比例函数图象交于另一点
;射线
与
轴交于点
,
,
轴,垂足为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/10/058074a6-891c-4b9a-a0cf-81504a303f39.png?resizew=150)
(1)求
的值;
(2)求
的值及直线
的表达式;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118c9c0597d2c72126fbc4cc3927108e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e66f7e08f1aa26f7a4fd7d66abb0617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ba2e2359ccda3d60bd396f6a986e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3f8cb648966fd4ff28896fe8f9e04d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602f64f0c8a0fa105d583d698d0af3bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/10/058074a6-891c-4b9a-a0cf-81504a303f39.png?resizew=150)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668ff88b111c22872750a6e7ab7273db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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【推荐2】已知:如图,AB是⊙O的直径,AC是弦,OD⊥AC于点E,交⊙O于点F,连接BF,CF,∠D=∠BFC.
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570608941858816/1570609073971200/STEM/297db6eacbd3400b933e375d024b81b5.png?resizew=153)
(1)求证:AD是⊙O的切线;
(2)若AC=8,tanB =
,求AD的长.
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570608941858816/1570609073971200/STEM/297db6eacbd3400b933e375d024b81b5.png?resizew=153)
(1)求证:AD是⊙O的切线;
(2)若AC=8,tanB =
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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