1 . 如图所示,在棱长为1的正方体中,下列各点在正方体外的是( )
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498150297600/2039523897868288/STEM/fba648e42c2e48ccb09c7e3ba7a4b268.png?resizew=123)
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498150297600/2039523897868288/STEM/fba648e42c2e48ccb09c7e3ba7a4b268.png?resizew=123)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2018-09-24更新
|
481次组卷
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3卷引用:山东省武城县第二中学高中数学必修二人教A版第三章 平面解析几何初步章末测试题
山东省武城县第二中学高中数学必修二人教A版第三章 平面解析几何初步章末测试题北师大版 全能练习 必修2 第二章 3.1 空间直角坐标系的建立、 3.2 空间直角坐标系中点的坐标(已下线)【新东方】杭州新东方高中数学试卷334
2 . 如图所示,在直四棱柱
中,已知
,
,
.设
是
的中点,求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd694ad3a4733c7c84aaa7946aeea4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115d32cfe16d5fcf6298baeef0a97fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c90a2e13488a5f4a2408718837fdabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d98c8abbd8732900d10feb5a5e4e3a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932bd90c107f7af9a8de138e1f0e97fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d337cc486944076b459a4a9ad4bf0756.png)
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498121134080/2039515780947968/STEM/d9cde84cc0a24928bfdbe6950e544cb6.png?resizew=124)
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3 . 如图,平面
分别平行于
、
,
、
、
、
分别在
、
、
、
上,且
,
,
.
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498121134080/2039515780964352/STEM/3c69d03d249d4cae97438c138778f0fe.png?resizew=128)
(1)求证:四边形
是矩形;
(2)点
在什么位置时,四边形
的面积最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e8cfc92fac8debb8bc06293ccc1685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aada537209e8ab7626e42b17f68907b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498121134080/2039515780964352/STEM/3c69d03d249d4cae97438c138778f0fe.png?resizew=128)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
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4 . 如图,正方体
中,
为
的中点,求证:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c233b95865198572282d7a66ce689e94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa279d85f7cb724fc05fe2917b3b8f8c.png)
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498121134080/2039515780931584/STEM/15ce7f96864047a9ad7ae03de539701c.png?resizew=129)
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5 . 如图,在四棱锥
中,底面
是平行四边形,点
,
分别为
,
的中点,在线段
上是否存在一点
,使得
平面
;若存在,说明点
的位置;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e61620a272dada8d4b9a9fab6379dfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365822bd3945e6a3e871ca979c84cc12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ead42ad158be31d98745a805f79bbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b2240646f656908993151c433fb2a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498121134080/null/STEM/efebca1b066742d9b542be90fa9eb699.png?resizew=144)
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6 . 在四棱锥
中,
,
,
,
,
,若
为
的中点,求证:
面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37591109b0a0ec5ffe2133f83310eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40560ea08d6cd8c1d4d9661ee6faaa3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf1d2c64950a4ae3c7d2a7cbfdeddd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/2018/8/30/2021498121134080/2039515780907008/STEM/8e9426cce36c439cbff134423c186982.png?resizew=119)
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7 . 设命题p:
,命题q:
.
求命题p,q对应不等式的解集A,B;
若
为真命题,
为假命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63f04e06524e089204e4b8b985c8c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0a06fff66a5d8cf6c5a88a34c810d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc28e186f8e5e98ba803fe35d358bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2392f5c03c2b834aa90f5aebdfa15df8.png)
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名校
8 . 对于
,有如下命题:
若
,则
一定为等腰三角形.
若
,则
一定为等腰三角形.
若
,则
一定为钝角三角形.
若
,则
一定为锐角三角形.
则其中正确命题的序号是______
把所有正确的命题序号都填上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b84dd9019efb6439f01b7d90d18d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b1cac68231d337759ec59bc519ea39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bb89a362c1faf4d0c306eabbb59710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e41bc3912c8f248ca91e1ee382f0435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e636bddc1a3d7c006ac304e96cd2551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827716804026d84f6e86aea99a546b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
则其中正确命题的序号是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce8411079aca57f17d3ead32798f055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
您最近一年使用:0次
2018-08-16更新
|
3435次组卷
|
7卷引用:山东省乐陵市第一中学2019届高三一轮复习理科数学:常用逻辑用语测试
名校
9 . 已知p:
,q:
,且q是p的充分而不必要条件,则a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3b13595aee16797645001eff8f0048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d866a54d359709a5f3ec54d5997ff3.png)
您最近一年使用:0次
2018-08-16更新
|
585次组卷
|
2卷引用:山东省乐陵市第一中学2019届高三一轮复习理科数学:常用逻辑用语测试
名校
10 . “若
或
,则
”的否命题为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c581913b2d08b871608e939f29cb24b.png)
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
2018-08-16更新
|
462次组卷
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4卷引用:山东省乐陵市第一中学2019届高三一轮复习理科数学:常用逻辑用语测试