名校
1 . 若
都是实数,试从①
,②
,③
中选出所有适合的条件,用序号填空:
(1)“
”的充要条件是 _________ ;
(2)“
”的充分不必要条件是 _________ ;
(3)“
且
”的必要不充分条件是 _________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b4937e23136a512ac1241ea7ba1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa4f30f2d20877e74d9ae8c24366c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb20e291772c2614ad19f4cc919dfec.png)
(1)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbcc6911602f0b0a26da59fb01ad402.png)
(2)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af00dcf5e126e1e0d684ad03d601d98.png)
(3)“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
您最近一年使用:0次
名校
2 . 如图,四边形ABCD是矩形,
,E是AD的中点,BE与AC交于点F,GF⊥平面ABCD;
![](https://img.xkw.com/dksih/QBM/2021/5/14/2721000856952832/2801585677041664/STEM/e761c925-ce3c-4c82-8b53-2bee72288352.png?resizew=291)
(1)求证:AF⊥平面BEG;
(2)若
,求直线EG与平面ABG所成的角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5487766cf7f2c4c54fa5aadc69ff5e6.png)
![](https://img.xkw.com/dksih/QBM/2021/5/14/2721000856952832/2801585677041664/STEM/e761c925-ce3c-4c82-8b53-2bee72288352.png?resizew=291)
(1)求证:AF⊥平面BEG;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d440215e4ca391884e61b1017e329e4.png)
您最近一年使用:0次
2021-09-05更新
|
883次组卷
|
6卷引用:福建省2017年数学基地校高三毕业班总复习 立体几何 形成性试卷(理)
福建省2017年数学基地校高三毕业班总复习 立体几何 形成性试卷(理)2017届广东惠州市高三上二模考试数学(理)试卷浙江省丽水市外国语实验学校2020-2021学年高三上学期期末数学试题(已下线)专题8.9 《空间向量与立体几何》单元测试卷 - 2022年高考数学一轮复习讲练测(新教材新高考)四川省内江市第六中学2021-2022学年高二上学期第一次月考创新班理科数学试题陕西省榆林市绥德中学2021-2022学年高二下学期第二次阶段性测试理科数学试题
名校
3 . 如图,在
中,已知
,
在
上,且
,又
平面
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/3778ecc7-55de-4a58-bd29-9b61752b2aaa.png?resizew=195)
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0434c0177ca5c88ec129bd4cc13f4a1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ef3be01299461baa7ae0210e94fb23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c77460acfd71305ba8118e5bd3f3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31174a2b9ec37e8be84767a191f8f00.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/3778ecc7-55de-4a58-bd29-9b61752b2aaa.png?resizew=195)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf126cfed85fa9b7720ec6f7b0008dc.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bceb05a36e24da2a422d0a11d64a69.png)
您最近一年使用:0次
2018-06-01更新
|
312次组卷
|
7卷引用:福建省2017年数学基地校高三毕业班总复习 立体几何 形成性试卷(理)
名校
4 . 如图1,在
中, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278b7278d9f03d95c27364796892a01d.png)
分别是
上的点,且
,
,将△
沿
折起到△
的位置,使
,如图2.
(I)求证:
;
(II)线段
上是否存在点
,使平面
与平面
垂直?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278b7278d9f03d95c27364796892a01d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5881068127a39caf319492b4177204f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82957366f4c9272b6ee99126d4b6bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377b5f7197e5bd1afeea4d931307956a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2fef4031c10abc18c8747af6b9a8a.png)
(I)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d29fdbf723c043641bdb2e180d8d0b.png)
(II)线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6e96872af0f0b341835576c407e364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
您最近一年使用:0次
2017-10-10更新
|
1257次组卷
|
5卷引用:福建省2017年数学基地校高三毕业班总复习 立体几何 形成性试卷(理)
福建省2017年数学基地校高三毕业班总复习 立体几何 形成性试卷(理)福建省泉州市晋江一中2020-2021学年高二下学期数学期末试题(已下线)1.4.1 空间向量的应用---线面位置关系的证明河北省沧州市2022-2023学年高二上学期期末模拟数学试题(已下线)湖北省“荆、荆、襄、宜四地七校”考试联盟2023-2024学年高二下学期期中联考数学试卷变式题16-19
12-13高二上·福建泉州·单元测试
名校
5 . 设
分别为椭圆C:
的左、右两个焦点,椭圆C上的点
到两焦点的距离之和等于4.
(1)求椭圆C的方程和焦点坐标;
(2)设点P是(1)中所得椭圆上的动点,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e90064d012356de1877aa697cd6d6ac.png)
(1)求椭圆C的方程和焦点坐标;
(2)设点P是(1)中所得椭圆上的动点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055d3ab1ca889ea898296dfc1abf725b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
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11-12高二上·福建莆田·单元测试
解题方法
6 . 如图,圆柱
内有一个三棱柱
,三棱柱的底面为圆柱底面的内接三角形,且
是圆
直径.
(Ⅰ)证明:平面
平面
;
(Ⅱ)设
,在圆柱
内随机选取一点,记该点取自于三棱柱
内的概率为
.
(i)当点
在圆周上运动时,求
的最大值;
(ii)记平面
与平面
所成的角为
,当
取最大值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5629041fdcb10ce365d799f59b463189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(Ⅰ)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df00cdf77ed39ca5a0b305861a693142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f96c673a2381f118ea2d3efc0bca1f3.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac3b89eddba301a7dcd65950ad4b6643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5629041fdcb10ce365d799f59b463189.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(i)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(ii)记平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739c629772c553e9a2329d5d71173736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9f6421745313307418e4c375279c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://img.xkw.com/dksih/QBM/2011/11/24/1570360762925056/1570360768397312/STEM/c56b127e-029a-4259-aa4f-4dcc231dfdf4.png?resizew=174)
您最近一年使用:0次
11-12高二上·福建莆田·单元测试
7 . 如图,在三棱柱ABC﹣A1B1C1中,已知BC=1,BB1=2,AB
,∠BCC1=90°,AB⊥侧面BB1C1C,E为CC1的中点
(1)求证:EA⊥EB1
(2)求二面角A﹣EB1﹣A1的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae65bdb69940a67a18d56ff02060b22.png)
(1)求证:EA⊥EB1
(2)求二面角A﹣EB1﹣A1的大小.
![](https://img.xkw.com/dksih/QBM/2011/11/24/1570360762925056/1570360768356352/STEM/0769afa2c1884767b56634151919dd86.png?resizew=225)
您最近一年使用:0次
11-12高二上·福建莆田·单元测试
8 . 在如图的多面体中,
⊥平面
,
,
,
,
,
,
,
是
的中点.
(1) 求证:
平面
;
(2) 求异面直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4a6b8ef3e79b4482388c3391d8b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b29f27c9a3af7044faf147bdaeb3fe81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4ffb68a9ca3bf66788363bc89dab45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13bd9e8b54864ca44115d24a5aeeb83c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70801d43498c8ae772b960f0353131f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1496042c1d721cffd25053e997a9a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6922690417492dea5c60acd5f031efa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1) 求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307807ee10071bafbe922eb18d2517d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c96bc9a285172c48e4726ee6492670ef.png)
(2) 求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://img.xkw.com/dksih/QBM/2011/11/24/1570360762925056/1570360768315392/STEM/523f888003c24903ac9b2760a2c20095.png?resizew=252)
您最近一年使用:0次