1 . 已知
,动点
满足
,动点
的轨迹为曲线
交
于另外一点
交
于另外一点
.
(1)求曲线
的标准方程;
(2)已知
是定值,求该定值;
(3)求
面积的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107a80eeecf2efcb25cb008945c1c241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cced7a3d18b398c1da1218d74a96542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ac4aa6db80d4edfd287abc4580e68b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c72be8e3e113103ca7de54ac39c2313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da79ae7251aa6d5822b5396a632b01c7.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c28abb154f41e1ca9816c9c9c2433ca.png)
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3卷引用:福建省漳州市龙文区2024届高三6月模拟预测数学试题
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2 . 如图,在直三棱柱
中,
,
,
,
.
时,求证:
平面
;
(2)设二面角
的大小为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42da806a6bd2472459f6c4ad1dab7b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b360c98bd3fd209525fd8fece4246590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1c3ea872a20fdc1843cb5ffce8a554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
(2)设二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306681bd5aaa51e9c63ab3002e23dec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
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3卷引用:福建省漳州市龙文区2024届高三6月模拟预测数学试题
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3 . 已知函数
.
(1)讨论
的单调性;
(2)若对任意的
恒成立,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14dee98f762932a2b717636a20306b2.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebd963989c9b6a745172cba76189c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3卷引用:福建省漳州市龙文区2024届高三6月模拟预测数学试题
名校
解题方法
4 . 已知函数
,则不等式
的解集为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c210ade9ec72d8184a8ad001e44281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0fdf83014454a5ef251bd80cd1653d.png)
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解题方法
5 .
内角
,
,
的对边分别为
,
,
,若
,
,则
的面积为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e182f183fc39883cf30bd91a7858fa87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09d3176074ac8b37cccdea181f1dffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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6 . 存在函数
满足:对于任意的
,都有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:福建省漳州市龙文区2024届高三6月模拟预测数学试题
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7 . 已知
是边长为1的正三角形,
是
上一点且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f865cb2e4a1c575b331e252a21d7d7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07377d977ef6a8f518b3004564544e5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce5d6c8be7019d123c0b1d4ab9e52814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d476da94dcade5f83541f3fca22a1039.png)
A.![]() | B.![]() | C.![]() | D.1 |
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4卷引用:福建省漳州市龙文区2024届高三6月模拟预测数学试题
福建省漳州市龙文区2024届高三6月模拟预测数学试题浙江省宁波市镇海中学2024届高三下学期适应性测试数学试卷山东师范大学附属中学2024届高三下学期考前适应性测试数学试题(已下线)【北京专用】高一下学期期末模拟测试B卷
8 . 已知复数
满足
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a491320664d2f5bab356117541b83347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21b294e4fbf4ac4b994cf5ea67a1c698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061b878f4e056cf5be4ae842694e2f07.png)
A.1 | B.![]() | C.![]() | D.![]() |
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2卷引用:福建省漳州市龙文区2024届高三6月模拟预测数学试题
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9 . 已知角
的顶点与坐标原点重合,始边与
轴的非负半轴重合,终边经过点
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158c536c5c89d8394448dccb50ee9977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb80011ec8d587fceb1c41b31f87803.png)
A.0 | B.![]() | C.![]() | D.![]() |
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解题方法
10 . 已知线段
是圆
的一条长为2的弦,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df672afc662c02d3c381cbab21b34611.png)
A.1 | B.2 | C.3 | D.4 |
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