1 . 已知直线
和直线
平行,则
=____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35aaf5a5a5b872c164eedbb95fad0a10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f129d441ab39d195cb2580c46065d0fb.png)
![](https://img.xkw.com/dksih/QBM/2017/4/26/1673855210029056/1738571763130368/STEM/51ca4845655a4b7cb2f0b29512b38045.png?resizew=13)
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2 . 如图,四棱锥P-ABCD中,底面ABCD是矩形,AD⊥PD,BC=1,PD=CD=2,
.
(Ⅰ)证明平面PDC⊥平面ABCD;
(Ⅱ)求直线PB与平面ABCD所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2647920a05871451cb9fb9290489688.png)
(Ⅰ)证明平面PDC⊥平面ABCD;
(Ⅱ)求直线PB与平面ABCD所成角的正弦值.
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3 . 设点
是
上的点,若点
到直线
的距离为
,则这样的点
共有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fddc4a655eba12a87615aafc63b671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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4 . 若直线x-y=2被圆(x-a)2+y2=4所截得的弦长为2
,则实数a的值为________ .
![](https://img.xkw.com/dksih/QBM/2017/4/26/1673855210029056/1738571763146752/STEM/c38a1c90a88a4903b6be9419b0b1057d.png?resizew=17)
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5 . 如图,在四棱锥
中,
底面
,
,
,点
为棱
的中点.
![](https://img.xkw.com/dksih/QBM/2017/5/28/1696902730899456/1697574986203136/STEM/aad2ffd2ced1412ca368cbb3032723a2.png?resizew=198)
(1)证明:
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cff8c9f12d51b23c4b0beaf228b5c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/2017/5/28/1696902730899456/1697574986203136/STEM/aad2ffd2ced1412ca368cbb3032723a2.png?resizew=198)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c38bbe49284a2ceab26001ced8cfd56.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31445984ddb32c9d7cfd25def849e7f6.png)
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2017-05-29更新
|
1400次组卷
|
7卷引用:湖南省衡阳市第八中学2017-2018学年高二上学期期中考试数学(理)试题
名校
解题方法
6 . 某几何体的三视图如图所示,则该几何体的外接球的半径为
![](https://img.xkw.com/dksih/QBM/2017/4/28/1675418253574144/1679312371957760/STEM/fb11590359aa467e895d2490794e055d.png?resizew=236)
![](https://img.xkw.com/dksih/QBM/2017/4/28/1675418253574144/1679312371957760/STEM/fb11590359aa467e895d2490794e055d.png?resizew=236)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
12-13高一上·福建·期末
7 . 如图,已知正方体
,则二面角
的正切值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd190b5a26dfb45a06c1d6ee86dd82d9.png)
![](https://img.xkw.com/dksih/QBM/2017/4/14/1665420759760896/1666346901176320/STEM/28cbba81dbf04fcc89e98fee48491d62.png?resizew=101)
您最近一年使用:0次
2017-04-15更新
|
570次组卷
|
6卷引用:2016-2017学年湖南省醴陵二中、醴陵四中高二下学期期中联考数学(文)试卷
2016-2017学年湖南省醴陵二中、醴陵四中高二下学期期中联考数学(文)试卷(已下线)2011-2012学年福建省八县一中高一上学期期末考试数学(已下线)2011-2012学年福建省厦门六中高一下学期期中数学试卷2015-2016学年福建省师大附中高一上学期期末数学试卷人教版 全能练习 必修2 第一章 滚动习题(二)青海省大通回族土族自治县第一完全中学2019-2020学年高二上学期期中考试数学试题
8 . 一长方体,其长、宽、高分别为3,1,
,则该长方体的外接球的表面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 如图所示,ABCD是正方形,O是正方形的中心,PO⊥底面ABCD,底面边长为a,E是PC的中点.
(1)求证:平面PAC⊥平面BDE;
(2)若二面角E-BD-C为30°,求四棱锥P-ABCD的体积.
您最近一年使用:0次
2017-04-15更新
|
402次组卷
|
2卷引用:2016-2017学年湖南省醴陵二中、醴陵四中高二下学期期中联考数学(文)试卷
名校
解题方法
10 . 已知圆
,直线
:
,圆
与
轴相交于点
(如图),点
是圆
内一点,点
为圆
上任一点(异于点
),直线
与
相交于点
.
(1)若过点
的直线
与圆
相交所得弦长等于
,求直线
的方程;
(2)设直线
的斜率分别为
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc12c55f2676aeb4f696f4a84e4d65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef70974f88652aaa60794f90a037363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c13440344524d62ee5c0c76522c8a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)若过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66a032097199f9c4b789709de080716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70cfc3793892ac7e7037246a1aa4c324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64eb9a515b43916fd4e2e5f0a4b07134.png)
![](https://img.xkw.com/dksih/QBM/2017/4/14/1665420759760896/1666346901356544/STEM/2fb156fb06924613b6619fc8e454d88c.png?resizew=221)
您最近一年使用:0次
2017-04-15更新
|
2042次组卷
|
2卷引用:2016-2017学年湖南省醴陵二中、醴陵四中高二下学期期中联考数学(文)试卷