1 . 已知抛物线
的焦点为
,点
,若点
为抛物线上任意一点,当
取最小值时,点
的坐标为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5fb552c79ab5d45b0aeafc06e58542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2f98670913d4105454f49caba53a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2 . 设
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836d745b71ec18b1135e8bbf6990bffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b0a6378a8cee01ea4191d3ed83d22a.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
3 . 已知点
为抛物线
:
的焦点,点
在抛物线
上,且
.
(1)求抛物线
的方程;
(2)已知点
,过点
的直线交抛物线于
、
两点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/921502954d8f4c6e58a95487018a8a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bf417767442935d2b9e49d18fbea79.png)
(1)求抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aad434a7febc9d1491e73f51b86cd588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28f6fe7f033e623471c1217652acd042.png)
您最近一年使用:0次
2024-03-01更新
|
785次组卷
|
2卷引用:山西省太原市2023-2024学年高二上学期期末数学试题
4 . 如图所示,平行六面体
中,
,
.
(1)用向量
表示向量
,并求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d20d9a8058985d9847ddd99046fdb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a27ea00fee0b2571c6f1e8cc943a1d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/ed55734c-a610-409b-8b20-2f769dfb319c.png?resizew=113)
(1)用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68873c59a21b0cd408cdf2b47d51096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccec46f7c4da972fef6e940158628242.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33e3af60b6aa94f39bbd04470d2e404.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388e976ab53ad76d39c74b59a09b1663.png)
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5 . “
”是“函数
的定义域为
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7cfada8fd642ddf968bfd4228d48ec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fb1e94f2da505748c7c41e7dd7942e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac87434324956e4145e38ad92a1aa95.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
6 . 已知双曲线
的离心率
,则曲线
的渐近线的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be71d1d7b9323ad3887bc4eed036279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1c567b22c69c1c96a5bb71181b7170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 如图,直线
经过抛物线
:
的焦点
,与抛物线
交于点
,与准线交于点
,且
,则直线
的斜率为( )
![](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/2b6d8eaacc2d999b37209feba103f9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/0593fe41c9f86258ecc537885c2ec82a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/f72797df-2ea5-47f7-af20-d1f121f4f542.png?resizew=121)
A.![]() | B.2 | C.3 | D.![]() |
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解题方法
8 . 椭圆
的方程为
,
,
是椭圆的两个焦点,点
为椭圆上一点且在第一象限.若
是等腰三角形,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b939a0c044b842cdc258e516a6d1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
A.![]() | B.![]() |
C.点![]() ![]() ![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 下列说法正确的是( )
A.若![]() ![]() |
B.![]() |
C.“![]() ![]() |
D.若函数![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
10 . 在双曲线型冷却塔(如图)的建设过程中,人员、物料的运输一直是困扰施工的难题,经实践探索设计出“附墙升降机”,其结构如图所示,安装之后附着在冷却塔的外侧,通过升降吊笼完成输送任务.假设该冷却塔的最小半径为
,上口半径为
,下口半径为
,高为
.附墙升降机轨道在
点以下与冷却塔贴合,从
点到顶端
点是竖直的,则
长约为______
(保留整数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e978c77cb0d7eff794447241e9829867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e685c2fe2f54fa7947538472cd7caa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146ea9ed5176797da555a70bbe9602c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3cfb60f4ba5c477a86c304229a40716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/2373661e-f2d6-4f0f-86ec-7cf35306251e.png?resizew=164)
您最近一年使用:0次