解题方法
1 . 设直线
过双曲线
的一个焦点,且与
的一条对称轴垂直,
与
交于
两点,
等于
的半实轴长,则
的离心率为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
2 . 已知
,若
是
的必要不充分条件,则
的值可能为___________ 填一个满足条件的值即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4f1d1aa65e817f898506f19a3c897d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
3 . 双曲线
的渐近线方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f397bf1145d7120fc0a4a2a8c1abd1c6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
280次组卷
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2卷引用:河南省信阳市2020-2021学年高二上学期期末数学(理科)试题
4 . 命题
“
”的否定
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fd583cd6ec9d767f9afc4d305a8498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . 2020年11月24日,嫦娥五号发射成功,九天揽月,见证中华民族复兴!11月28日
时
分,嫦娥五号顺利进入环月轨道飞行.环月轨道是以月球球心为一个焦点的椭圆形轨道,其近月点与月球表面距离为
,远月点与月球表面距离为
.已知月球的直径约为
,则该椭圆形轨道的离心率约为( )
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648084114857984/2650356778106880/STEM/752b8f6d98334fada8cfdbacee48f530.png?resizew=264)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4066a75edc8587024d3d2f21274220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5a1095f11a367fc0bfdd114211fab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b60fd075dae6790bbb805274d5abf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ff1dd4967396d580e3e6fc203e39b3.png)
![](https://img.xkw.com/dksih/QBM/2021/1/31/2648084114857984/2650356778106880/STEM/752b8f6d98334fada8cfdbacee48f530.png?resizew=264)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:河南省南阳市2020-2021学年高二上学期期末数学文科试题
名校
6 . 已知函数
.
(1)求曲线
在点
处的切线方程;
(2)求曲线
过点
的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57dfa44984a9627da4c152a9c953958.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f83ab7f4f85d61824ba6496033cc599.png)
(2)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
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7卷引用:河南省驻马店市2020-2021学年高二上学期期末数学(文)试题
名校
7 . 抛物线
上一点
到焦点的距离为
,则点
的纵坐标为______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e48f28aeccf369df5980ac787e9e313f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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3卷引用:河南省焦作市2020-2021学年高二上学期期末数学文试题
河南省焦作市2020-2021学年高二上学期期末数学文试题河南省焦作市2020-2021学年高二上学期期末数学理科试题(已下线)上海市华东师范大学第二附属中学2020-2021学年高二下学期开学考试数学试题
解题方法
8 . 已知
为椭圆
的两个焦点,过
的直线交椭圆于
两点,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa966b9eb79620e797a58435755814f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1267580ea8c368b8089545d395efd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 已知函数
为
的导函数,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96efcb950a1c7522c247077eff0b120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21fc4d60a8506bf0fa290cf252a6308a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
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10 . 已知抛物线
,点
是抛物线上一点,则抛物线上纵坐标为3的点到准线的距离为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0bde190a45e530aa5e8760f10fa498.png)
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4卷引用:河南省鹤壁市2020-2021学年高二上学期期末数学理科试题