1 . 如图,
,
是离心率都为
的椭圆,点A,B是分别是
的右顶点和上顶点,过A,B两点分别作
的切线
,
.若直线
,
的斜率分别为
,
,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/bde56b8b-569f-4c5f-93d7-78f2e7d2acab.png?resizew=187)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211b9e53e4677ae9e2b20d5f7ce0a4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a52e26180930ad5b56a8a45f28a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3da5d51cc23527feb04b419f83ec50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a52e26180930ad5b56a8a45f28a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211b9e53e4677ae9e2b20d5f7ce0a4e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce619c464f2aa04178ea0111ba60544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d9ccc4246c82939d8a659db9f28a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce619c464f2aa04178ea0111ba60544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d9ccc4246c82939d8a659db9f28a87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2562424a83aae7e4b3f8adf90307961a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b58edb637c5dfa03794f3952de9d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8178a9bdd5f28b2eff1f886b5ab0fcb5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/bde56b8b-569f-4c5f-93d7-78f2e7d2acab.png?resizew=187)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 双曲线
上格点(横纵坐标均为整数的点)的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba75ed540b7fab835e4548a8b0a801e9.png)
A.0 | B.4 | C.8 | D.12 |
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3 . 平面
与长方体的六个面所成的角分别为
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c9121cede0ee0562e23b8a26b34616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eec076403fb5f7e7ee03ba2231ed815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1462beec3a6d100890d5295ddd3edee1.png)
A.2 | B.3 | C.4 | D.6 |
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4 . 设椭圆C:
的左、右焦点分别为
,其焦距为2c.点
在椭圆的内部,点M是椭圆C上的动点,且
恒成立,则椭圆C的离心率的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc7ec5a637a8d7395c549b53e555c9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebec2da2ba87399649d172e879504fb6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知正三棱锥侧面与底面所成二面角的余弦值为
,则此三棱锥的高h与其内切球半径r之比是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e6486784415f3537c9a13556c05d893.png)
A.5 | B.6 | C.7 | D.8 |
您最近一年使用:0次
2020-05-28更新
|
322次组卷
|
2卷引用:2019年全国高中数学联赛贵州省预赛
6 . 方程组
的解的组数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ab0c7b6b0fb725f3cb7399445ba4fa.png)
A.5 | B.6 | C.7 | D.8 |
您最近一年使用:0次
7 . 已知等差数列{an}的公差d≠0,且
,则{an}的前15项之和S15等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cd7bf022f1e853e4c1022c8b2a5a86.png)
A.15 | B.16 | C.30 | D.32 |
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8 . 在Rt△ABC中,∠B=90°,AB=15,BC=20.则顶点B与斜边各点的连线中(含边AB、BC)长度为整数的线段条数是( )
A.9 | B.10 | C.11 | D.12 |
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9 . 若圆柱被一平面所截,其截面椭圆的离心率为
,则此截面与圆柱底面所成的锐二面角是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 在空间直角坐标系中,已知O(0, 0,0),A(1,0,0),B(0,1,0),C(0,0,1),则到面OAB、面OBC、面OAC、面ABC的距离相等的点的个数是( )
A.1 | B.4 | C.5 | D.无穷多 |
您最近一年使用:0次
2018-12-21更新
|
263次组卷
|
3卷引用:2018贵州高联初赛试题