1 . 设四面体
的六条棱长分别为
,
,…,
,体积为
,四个面的面积分别为
,
,
,
,面
与面
所成的内二面角为
,
,
,
,
为任意四个正实数,
为空间里任意一点.下列不等式对任意满足
均为锐角的四面体恒成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/495fbf56b3023539b59f7bcee29acc70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c5af132246f75fe1b62992d2047906.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b039055a68e5aac79e1f24c1be4957bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4156bbe9f7e9bd7030e496773e14cc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9b603bcf4770372d679c675abb0cfd.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2 . 两个集合
和
之间若存在一一对应关系,则称
和
等势,记为
.例如:若
为正整数集,
为正偶数集,则
,因为可构造一一映射
.下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c4704f64d12d5a12d7470eb02dc2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6c4704f64d12d5a12d7470eb02dc2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63694528f708717928d3431ad0f0893.png)
A.两个有限集合等势的充分必要条件是这两个集合的元素个数相同 |
B.对三个无限集合![]() ![]() ![]() ![]() ![]() ![]() |
C.正整数集与正实数集等势 |
D.在空间直角坐标系中,若![]() ![]() ![]() ![]() ![]() |
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3 . 已知正四棱锥的侧面积为
,当该棱锥的体积最大时,以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
A.棱锥的高与底面边长的比为![]() |
B.侧棱与底面所成的角为![]() |
C.棱锥的每一个侧面都是等边三角形 |
D.棱锥的内切球的表面积为![]() |
您最近一年使用:0次
2021-06-23更新
|
789次组卷
|
7卷引用:福建省宁德市2021届高三三模数学试题
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