名校
1 . 已知函数
.
(1)当
时,求函数
的值域;
(2)如果对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818b938c30c3a81511ab7e181dabeb47.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a64f604d8732d4c264cc74b8ca5f7ce.png)
(2)如果对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88181d8cccf01c519f4b08fb562c46d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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25卷引用:江苏省扬州市宝应县2020-2021学年高三上学期初调研测试数学试题
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2 . 已知圆
的圆心在直线
上,且与直线
相切于点
.
(1)求圆
方程;
(2)是否存在过点
的直线
与圆
交于
两点,且
的面积是
(
为坐标原点),若存在,求出直线
的方程,若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/17bcff775c514a90ab3a7c00c05e5804.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/b80885e74ae74f6eb7b2e83a9e9fde44.png?resizew=56)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/2af23dd6926f42f3b314cad33be57d67.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/7de8e1ece3f7402999f8be17b1ecec33.png?resizew=55)
(1)求圆
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/266fd6493b74449a9393cd53af96cdca.png?resizew=16)
(2)是否存在过点
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/162da034c64b4798a3b2322f7cc5d5a4.png?resizew=47)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/bb698ee86a704367875ceac8fbc7d407.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/79aeee873f904ac78297c6cd758e9b1e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/6fe06310008a4ade9d255196a0b1e736.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/a993fd466e894c92840bb4880918a57c.png?resizew=48)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/01872a498b8f4b649460be9830570e85.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/fb588859b4ec4d56a85b9e7ea8d3295a.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2017/10/6/1789486270971904/1790156898983936/STEM/9cdcfa3c836b47c2aa4bef8fc5bbf81e.png?resizew=9)
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3 . 如图,直线PQ与⊙O相切于点A,AB是⊙O的弦,∠PAB的平分线AC交⊙O于点C,连结CB,并延长与直线PQ相交于点Q,若AQ=6,AC=5.
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572607145648128/1572607151489024/STEM/0359539e1f0c4416859950790998664e.png)
(Ⅰ)求证:QC2﹣QA2=BC
QC;
(Ⅱ)求弦AB的长.
![](https://img.xkw.com/dksih/QBM/2016/4/28/1572607145648128/1572607151489024/STEM/0359539e1f0c4416859950790998664e.png)
(Ⅰ)求证:QC2﹣QA2=BC
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b18d78c40ce368f60208949c5ae3fb.png)
(Ⅱ)求弦AB的长.
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3卷引用:2016届河北省衡水中学高三下学期二调考试理科数学试卷
4 . 【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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5 . 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
|
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
6 . 选修4-1:几何证明选讲
已知
(
)的外接圆为圆
,过
的切线
交
于点
,过
作直线交
于点
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d212c1709b8e72a055cf1b5381ef64.png)
![](https://img.xkw.com/dksih/QBM/2015/3/30/1572048203259904/1572048209371136/STEM/b7837c366e3d4202b13a27e404668b10.png)
(1)求证:
平分角
;
(2)已知
,求
的值.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9c90cfd058a3f1158b76f7e23819eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90b60b8b92f1943400b683df4e2624f.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/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d212c1709b8e72a055cf1b5381ef64.png)
![](https://img.xkw.com/dksih/QBM/2015/3/30/1572048203259904/1572048209371136/STEM/b7837c366e3d4202b13a27e404668b10.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e2c0d4ac2bd79f6cea7a9b1a50662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e838f38854126cfe585e3222e9f327e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7115b9ba0494ead745fc91f6b145e8c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4149e1d1e5c75be5a8ff565a336bddbd.png)
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2016-12-03更新
|
554次组卷
|
2卷引用:2015届江西省景德镇高三第二质检理科数学试卷
12-13高三·河南南阳·阶段练习
7 . 如图,在
中,
是
的角平分线,
的外接圆交
于点
,
.
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
;
(2)当
,
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0427054c47e348f35771872fd0215a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c71855e55064d1dc59eabe43e73a881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846071242f981289741ad19f4e7190cf.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679372e54c59c5cf67931b12b9833e02.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f7d9f5e71bfef8188b1216c1276c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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2016-12-02更新
|
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7卷引用:2014届河南省方城一高高三第一次调研(月考)考试理科数学试卷