1 . 已知圆
,直线
.
(1)若圆O的弦AB恰好被点
平分,求弦AB所在直线的方程;
(2)点Q是直线l上的动点,过Q作圆O的两条切线,切点分别为C,D,求直线CD经过的定点;
(3)过点
作两条相异的直线,分别与圆O相交于E,F两点,当直线ME与直线MF的斜率互为倒数时,求证:线段EF的中点G在直线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393a0e30b023f2a20d366eef481b5eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41888144f7eb9ca029d624560530d82.png)
(1)若圆O的弦AB恰好被点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f13bf66fc845b115de4ec45b4be0e23.png)
(2)点Q是直线l上的动点,过Q作圆O的两条切线,切点分别为C,D,求直线CD经过的定点;
(3)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda12642d59a5817e8990c43de20535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
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2023-02-23更新
|
315次组卷
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2卷引用:四川省广元市2022-2023学年高二上学期期末数学(文科)试题
解题方法
2 . 如图,四棱锥
,平面
平面
,
,
,
,
,
,E为PC中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/f62c8484-4656-4573-a25d-4fc4b204b68b.png?resizew=200)
(1)求证:直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
平面PAD;
(2)平面
平面PDC.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a11029ca6b4b9e7f777af0280cf163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b377f22aafd3742ad860f77abaacef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f6967901d6c855864df01e7bf7a15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a69df64811eb0866c84207f24dfae99.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/27/f62c8484-4656-4573-a25d-4fc4b204b68b.png?resizew=200)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
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名校
解题方法
3 . 如图,四棱锥P-ABCD,平面PAB⊥平面ABCD,PA⊥AB,
,∠DAB=90°,PA=AD,DC=2AB,E为PC中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/e08ff188-5d12-4282-806e-4a1d8a420234.png?resizew=167)
(1)求证:直线
//平面PAD;
(2)当AP=AB时,求平面PAD与平面PBC所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/e08ff188-5d12-4282-806e-4a1d8a420234.png?resizew=167)
(1)求证:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0213c5787a5a6b38d11bceca5567f67.png)
(2)当AP=AB时,求平面PAD与平面PBC所成锐二面角的余弦值.
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2023-02-19更新
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237次组卷
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3卷引用:四川省广元市2022-2023学年高二上学期期末数学(理科)试题
解题方法
4 . 如图,边长为3的正方形ABCD中,点E是线段AB上的动点,点F是线段BC上的动点,均不含端点,且满足
,将△AED,△DCF分别沿DE,DF折起,使A,C两点重合于点P.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/a8537b88-fc13-4757-993f-05975e29f980.png?resizew=287)
(1)求证:
;
(2)当
时,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d96a5d40d0aea9f4398ca4d0fe9b0dd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/a8537b88-fc13-4757-993f-05975e29f980.png?resizew=287)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6969b9971ceae406072933356189a897.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e670bb568d2ea05cc763cb6877efa002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531bcfb283efd0a4631e2d00db5a8bad.png)
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2023-02-19更新
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366次组卷
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3卷引用:四川省广元市2022-2023学年高二上学期期末数学(理科)试题
四川省广元市2022-2023学年高二上学期期末数学(理科)试题四川省广元市2022-2023学年高二上学期期末数学(文科)试题(已下线)专题8.15 空间中线面的位置关系大题专项训练(30道)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)
5 . 已知椭圆
的长轴长与短轴长之比为2,
、
分别为其左、右焦点.请从下列两个条件中选择一个作为已知条件,完成下面的问题:
①过点
且斜率为1的直线与椭圆E相切;
②过
且垂直于x轴的直线与椭圆在第一象限交于点P,且
的面积为
.(只能 从①②中选择一个作为已知)
(1)求椭圆E的方程;
(2)过点
的直线l与椭圆E交于A,B两点,与直线
交于H点,若
,
.证明:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
①过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35565c94f43ca37683e2f2ef81f24eeb.png)
②过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6506a28229b6d211409c43c8a2639f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802e162b98c280720fcb909cf392fda3.png)
(1)求椭圆E的方程;
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8dccf8aa38f2f1d6c4c337d9758aad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84c64a3f55c04ef91f25c17758bcd16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf22cc229dafd354e4c106581908c22a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32705e629d8b9187b53efeee6605af15.png)
您最近一年使用:0次
2022-01-19更新
|
435次组卷
|
3卷引用:四川省广安市2021-2022学年高二上学期期末考试数学(理)试题
名校
6 . 如图,在三棱锥
中,平面
平面
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772278525272064/2774667241611264/STEM/e3fe0bb1-d44f-4741-a131-6d29cc2de582.png?resizew=256)
(1)求证
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0423c674207216397dde032c17816696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66cef506a91c5e28723f6f19895c27b.png)
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772278525272064/2774667241611264/STEM/e3fe0bb1-d44f-4741-a131-6d29cc2de582.png?resizew=256)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ea309886e947ea7cb4b81716206fd.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e657a4a33ed01c3a2807218100efbef.png)
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2021-07-29更新
|
461次组卷
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3卷引用:四川省广元市2020-2021学年高二下学期期末数学(理科)试题
名校
解题方法
7 . 如图,在三棱锥
中,平面
平面
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772274677424128/2774663640260608/STEM/3f734ec70364442380cc69b65e4b385b.png?resizew=244)
(1)求证
;
(2)求四面体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0423c674207216397dde032c17816696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66cef506a91c5e28723f6f19895c27b.png)
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772274677424128/2774663640260608/STEM/3f734ec70364442380cc69b65e4b385b.png?resizew=244)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5ea309886e947ea7cb4b81716206fd.png)
(2)求四面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6d7e887348f80fda1e157e0222573d.png)
您最近一年使用:0次
2021-07-29更新
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235次组卷
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2卷引用:四川省广元市2020-2021学年高二下学期期末数学(文科)试题
8 . 已知函数
,x∈R.
(1)判断函数的奇偶性,并说明理由;
(2)利用函数单调性定义证明:
在
上是增函数;
(3)若
对任意的x∈R,任意的
恒成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d3345cc4b9cea2591b5d748f32369a.png)
(1)判断函数的奇偶性,并说明理由;
(2)利用函数单调性定义证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c188845ab3f8e26257664efff3f5bbe.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf5bb437f3d3ad981d20f8f134596157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8bc713ba8522c6262141a83d696e1df.png)
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9 . 如图,在四棱锥P﹣ABCD中,PD⊥面ABCD,PD=DC=BC=1,AB=2,AB∥DC,∠BCD=90°.
![](https://img.xkw.com/dksih/QBM/2016/4/19/1572596127432704/1572596133076992/STEM/f42ffe94a7a9464f8a3a07a5a757c254.png)
(1)求∠ADC;
(2)求证:BC⊥PC;
(3)求点A到平面PBC的距离.
![](https://img.xkw.com/dksih/QBM/2016/4/19/1572596127432704/1572596133076992/STEM/f42ffe94a7a9464f8a3a07a5a757c254.png)
(1)求∠ADC;
(2)求证:BC⊥PC;
(3)求点A到平面PBC的距离.
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