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1 . 如图,在矩形
中,
,
,
为
中点,现分别沿
、
将
、
翻折,使点
、
重合,记为点
,翻折后得到三棱锥
,则三棱锥
外接球的半径为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1507da3daed983c2f355d4caebb66d72.png)
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2 . 已知
是奇函数且在
上单调递增,
,则
的解集为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471484b64504fc545398f52be830010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516db3a563162cdb32ae8088cccf2c18.png)
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2023-11-19更新
|
482次组卷
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7卷引用:江西省赣州市全南中学2023-2024学年高一上学期期中数学试题
江西省赣州市全南中学2023-2024学年高一上学期期中数学试题河南省八地市2023-2024学年高一上学期期中联考数学试题河南省2023-2024学年高一上学期学业质量监测期中考试数学试卷河南省第二高级中学2023-2024学年高一上学期期中数学试题河南省2023-2024学年高一上学期学业质量监测考试数学试题(濮阳、周口版)(已下线)【第二课】3.2.2奇偶性(已下线)3.2.2奇偶性 【第二课】“上好三节课,做好三套题“高中数学素养晋级之路
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3 . 已知椭圆
的左、右焦点分别是
,AB是椭圆C的任意两点,四边形
是平行四边形,且
,则椭圆C的离心率的最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36efa209fe7d63ff23f4285465b173a0.png)
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4 . 现有4名同学报名参加3个不同的课后服务小组,每人只能报一个小组,若每个小组至少要有1人参加,则共有______ 种不同的安排方法.
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5 . 已知F是抛物线
的焦点,P为抛物线上的动点,且点A的坐标为
,则
的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768508b1a1b05f0d3e8cd4d2464344df.png)
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2023-11-19更新
|
693次组卷
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5卷引用:江西省南昌市江西师大附中2023-2024学年高二上学期期中数学试题
江西省南昌市江西师大附中2023-2024学年高二上学期期中数学试题江西省丰城中学2023-2024学年高一上学期12月月考数学试题(已下线)3.3.1 抛物线及其标准方程(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)(已下线)专题24 抛物线的标准方程4种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教B版2019选择性必修第一册)(已下线)通关练17 抛物线8考点精练(1)
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6 . 已知双曲线
:
(
,
)的右焦点为
,
为坐标原点,以
为直径的圆
与
的渐近线交于
,
,
三点.记四边形
的面积为
,圆
的面积为
,则当
取最大值时,
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
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7 . 已知直线
:
,圆
:
,圆
:
.写出满足“直线
与圆
,
的公共点个数之和为3”的
的一个值______ .(写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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8 . 设函数
,则对
,使
恒成立的实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0519192532883d560482ad071e7b54c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac651e81c223b9594130c084af2974bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf3ccbb30db274150d23a51d1b063f8.png)
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9 . 已知函数
是定义在
上的增函数,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d8678ce275a07dd8ac74fad938203f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知函数
的值域为
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/114d476d21b35773541db1375bd93ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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