名校
1 . 命题“
,
”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89a9c493f19aeea2e8c90f84a22a7d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c573668c3e115816057a91b18130fd12.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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2023-11-10更新
|
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3卷引用:云南省开远市第一中学校2023-2024学年高一上学期期中考试数学试题
解题方法
2 . 如图,在正三棱柱
中,
是
的中点,
.
(1)证明:
.
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4639a9dc0bc99101cbde59fef04b4a2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/f70e0ef7-cf92-4def-9124-bd624f4dbd6d.png?resizew=158)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a8670759c61d785b9a336885df700b.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53dd937a69497a6743a3119fbce8f07a.png)
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2023-11-09更新
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316次组卷
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5卷引用:云南省昆明市官渡区艺卓中学2023-2024学年高一上学期11月期中考试数学试题
3 . 已知椭圆
的短轴长为2,点
在椭圆
上,与两焦点围成的三角形面积的最大值为
.
(1)求椭圆
的标准方程;
(2)当
为椭圆
的右顶点时,直线
与椭圆
相交于
两点(异于
点),且
.试判断直线
是否过定点?如果过定点,求出该定点的坐标;如果不过定点,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3835e6398d18d162afebc92cd2ae9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2023-11-08更新
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5卷引用:云南省大理下关一中教育集团2023-2024学年高二上学期期中考数学试题
名校
解题方法
4 . 如图,在长方体
中,点
分别在棱
上,且
.
(1)证明:
四点共面;
(2)若
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b323ecfca28fb7da92643357158b3e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6949750fcbe27b2d5d668cff0e1ea8bd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/4a76ac6f-3767-49fa-8634-4beb26fcf8d5.png?resizew=111)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6478aacc8ab7dd8bb83885ac783f57b7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7043212ea27f038c5f39931fa8bfa8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd41f11a3360662c09b042a9f987e70.png)
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5 . 已知点
是双曲线
的左、右焦点,
是双曲线右支上的一点,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e031bfda898bfd401eb7d064331e771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2427943a38dcd93c9ec9b735ffc9fe5.png)
A.![]() |
B.![]() ![]() |
C.双曲线的离心率为![]() |
D.直线![]() |
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2023-11-08更新
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5卷引用:云南省大理下关一中教育集团2023-2024学年高二上学期期中考数学试题
云南省大理下关一中教育集团2023-2024学年高二上学期期中考数学试题新疆生产建设兵团第三师图木舒克市第一中学2023-2024学年高二上学期11月月考数学试题(已下线)第三篇 努力 “争取”考点 专题8 圆锥曲线的定义应用【练】福建省莆田市锦江中学2023-2024学年高二上学期第二次月考数学试题(已下线)通关练16 双曲线13考点精练(100题)- 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)
名校
解题方法
6 . 已知双曲线
的左、右焦点分别为
为双曲线上第二象限内一点,若渐近线
垂直平分线段
,
,则双曲线的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ed463bf16c78a4bbb9d3acff922afa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac89d45e79b10741d93a9443c70adde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294e4692c7833e08104363296febdb2c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-08更新
|
873次组卷
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3卷引用:云南省大理下关一中教育集团2023-2024学年高二上学期期中考数学试题
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解题方法
7 . 已知抛物线E:
的焦点为
,过点
的直线
交抛物线于
,
两点,
为坐标原点.
(1)求
面积的最小值;
(2)设直线
交抛物线的准线于点
,求证:
平行于
轴.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/1dde8112e8eb968fd042418dd632759e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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2023-11-07更新
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2卷引用:云南省昆明市云南民族大学附属高级中学2023-2024学年高二上学期期中联考诊断性测试数学试题
8 . 已知集合
,
;
(1)当
时,求
;
(2)若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbe9062b7182e26466a7ae16cabbef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ff07a9b3aa318220b77f08fb536424.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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9 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f89bbbf77e761a44ebbdfa93a2665f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3d07f9a0360bcb94f8f36898a867c2.png)
A.充要条件 | B.必要不充分条件 |
C.充分不必要条件 | D.既不充分也不必要条件 |
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10 . 已知曲线
表示椭圆,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c06239ad76993ff9491ab4773471d23.png)
A.m的取值范围为![]() | B.若该椭圆的焦点在y轴上,则![]() |
C.若![]() | D.若椭圆的离心率为![]() ![]() |
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4卷引用:云南省大理白族自治州大理市民族中学2023-2024学年高二上学期期中数学试题
云南省大理白族自治州大理市民族中学2023-2024学年高二上学期期中数学试题浙江省温州十校联合体2023-2024学年高二上学期期中联考数学试题(已下线)3.1.2 椭圆的几何性质(10大题型)-【题型分类归纳】2023-2024学年高二数学同步讲与练(苏教版2019选择性必修第一册)(已下线)通关练15 椭圆11考点精练(1)