1 . 下列说法中正确的是( )
A.若函数![]() ![]() |
B.函数![]() ![]() |
C.命题“![]() ![]() ![]() ![]() |
D.若![]() ![]() |
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2 . 已知抛物线
,其焦点为
.
(1)
两点为抛物线
上的动点且满足
,直线
不垂直于
轴,求证:线段
的垂直平分线过定点
,并求出点
的坐标;
(2)已知椭圆
,圆
,过(1)中点
作斜率分别为
的直线
,且满足
,直线
交椭圆
于
两点,直线
交圆
于
两点,点
为
中点,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4428756f1088ce78ed97cbcea99775f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302aab606cd719baba3de2574ed69457.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875a860a39f84b8e72083c4956b6cf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)已知椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc5f7e05d956c36a2b75c9bc5e7a19f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ad174ec05373ce76b93130de6b3450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4cc51d393a94365f7008de5eae8879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42e9eac0fd00efb8da426b92feb37d4.png)
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解题方法
3 . 已知抛物线
,点
和
为此抛物线的两个内接三角形(即三角形的三个顶点均在拋物线上),且均以点
为直角顶点,则直线
与直线
的交点坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb9603390e28948abd2e3cd96e1720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9123f019ba7acfe433e1003737388de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9e0d54d839e1a809a9617d073ac53a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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4 . 已知
,
是曲线
上不同的两点,
为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204a3630fd3f8c09f9d26e2857db37fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/373a9b53140060a65450f09c1d1ac44c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b8f01a1f68f28929830c1369fdd67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() |
B.![]() |
C.若直线![]() ![]() ![]() |
D.对任意位于![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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解题方法
5 . 已知椭圆
上有不同两点
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b747db7eaf469c6d1607e4b0d028299f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14436636ec6a7aec09cb63cecf6e970d.png)
A.若![]() ![]() ![]() |
B.![]() ![]() ![]() |
C.若![]() ![]() |
D.![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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2024-02-04更新
|
1163次组卷
|
3卷引用:湖北省部分学校2023-2024学年高二上学期期末数学试题
名校
6 . 在图1所示的平面多边形中,四边形
为菱形,
与
均为等边三角形.分别将
沿着
,
翻折,使得
四点恰好重合于点
,得到四棱锥![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e52045125fa10787dcd577c38147bd.png)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/3e86ac98-85f0-4774-82e0-0339c4a48245.png?resizew=328)
(1)若
,证明:
;
(2)若二面角
的余弦值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d668c1a65824451fb5cb2908e4fc229f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b42d15b184904764e9a374554fc589c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06106b41c659977a527753f2736c9f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5262192e49cf903ee094457dbc250f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/722932a41451ef41599d297bf10339c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e52045125fa10787dcd577c38147bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e23c8a2244688ed4c848bc4fb4ca576.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/3e86ac98-85f0-4774-82e0-0339c4a48245.png?resizew=328)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3cf0f585938ede9eca890a6eb326d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036de574712cad14bddadf6653c7e714.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daffe333e60992bb4590370b79b806d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2024-02-03更新
|
1115次组卷
|
5卷引用:湖北省十堰市2023-2024学年高二上学期期末调研考试数学试题
湖北省十堰市2023-2024学年高二上学期期末调研考试数学试题重庆市乌江新高考协作体2023-2024学年高二下学期开学学业质量联合调研抽测数学试题广东省2024届高三数学新改革适应性训练二(九省联考题型)(已下线)(新高考新结构)2024年高考数学模拟卷(二)(已下线)第三章 折叠、旋转与展开 专题一 平面图形的翻折、旋转 微点8 平面图形的翻折、旋转综合训练
名校
7 . 已知
,点
在平面
内,则
的坐标可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b25d88086bd73e5aee2f59335f80ad18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-03更新
|
115次组卷
|
2卷引用:湖北省十堰市2023-2024学年高二上学期期末调研考试数学试题
解题方法
8 . 已知抛物线C:
焦点为F,点P在抛物线上,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
A.![]() |
B.若点![]() ![]() ![]() |
C.若点Q在圆![]() ![]() ![]() |
D.若点Q在直线![]() ![]() ![]() ![]() |
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9 . 已知点
,直线DE平行
所在的平面,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c97c38ebabb72f066490daa8eb978cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知如图,点
为椭圆
的短轴的两个端点,且
的坐标为
,椭圆
的离心率为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/acef4fa0-271a-4bd0-814d-7deb9069cc85.png?resizew=176)
(1)求椭圆
的标准方程;
(2)若直线
不经过椭圆
的中心,且分别交椭圆
与直线
于不同的三点
(点
在线段
上),直线
分别交直线
于点
.求证:四边形
为平行四边形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d468be20b4d43f5de75416de20e8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/24/acef4fa0-271a-4bd0-814d-7deb9069cc85.png?resizew=176)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若直线
![](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/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6684304a7537da9517c889c9cbf90a48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d0ff4224f475ab37c6f96d00506f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d107710e7aff959395ca6f8d23c52c7.png)
您最近一年使用:0次
2024-01-10更新
|
1605次组卷
|
3卷引用:湖北省部分学校2023-2024学年高二上学期期末数学试题