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解题方法
1 . 在
中,
是
的角平分线,且
的面积为1,当
最短时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bed0049999726e62b5b3142bf924fd.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a20f5714a4e19c73eef7d904c40b362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bed0049999726e62b5b3142bf924fd.png)
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2024-04-10更新
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4卷引用:安徽省池州市第一中学2024届高三第一次模拟联合检测数学试题
安徽省池州市第一中学2024届高三第一次模拟联合检测数学试题河南省实验中学2023-2024学年高一下学期期中考试数学试题(已下线)【练】专题4 解三角形的范围(最值)问题(压轴小题)辽宁省东北育才学校科学高中部2023-2024学年高一下学期期中考试数学试题
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2 . 已知函数
,设
是曲线
与直线
的三个交点的横坐标,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dee18cd2f32198cf038dd31af33c512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
A.存在实数![]() ![]() | B.对任意实数![]() ![]() |
C.存在实数![]() ![]() | D.对任意实数![]() ![]() |
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3 . 如图,在各棱长均相等的正三棱柱
中,给定依次排列的6个相互平行的平面
,使得
,且每相邻的两个平面间的距离都为1.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
__________ ,该正三棱柱的体积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307074171069f32b5c458985cd4d9bb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13811d01a0338d28753385a008f51a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72873e48255e32f560537d53798df1b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fce779168f431dde197ae40cacf04fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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2卷引用:安徽省池州市普通高中2024届高三教学质量统一监测数学试题
解题方法
4 . 已知椭圆具有如下光学性质:从椭圆的一个焦点发出的光线射向椭圆上任一点,经椭圆反射后必经过另一个焦点.若从椭圆
的左焦点
发出的光线,经过两次反射之后回到点
,光线经过的路程为8,椭圆C的离心率为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/56b2e7d6-e769-41f7-8910-7ab67e254448.png?resizew=204)
(1)求椭圆C的标准方程;
(2)如图,若椭圆C的右顶点为A,上顶点为B,动直线l交椭圆C于P、Q两点,且始终满足
,作
交
于点M,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/56b2e7d6-e769-41f7-8910-7ab67e254448.png?resizew=204)
(1)求椭圆C的标准方程;
(2)如图,若椭圆C的右顶点为A,上顶点为B,动直线l交椭圆C于P、Q两点,且始终满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7df99fe6438442a9453fc0c57fb703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf966a08ed9b4d48deeb2d2b7f24461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7787dfab61ed9830b531da365e592bbd.png)
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解题方法
5 . 已知数列
满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c5cad9aa4006c1d61d3634e24ce22a0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-03更新
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3卷引用:安徽省池州市2024届高三上学期期末数学试题
6 . 下列不等关系中错误的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 若关于
的不等式
的解集为
,则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55493c217a42c4171af1236c9607740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b8cde79b3939637ea0cd6ca4b25490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7ed3b92121a40cc00de1a7b281a9ae.png)
A.![]() | B.![]() | C.2 | D.1 |
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2023-11-26更新
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5卷引用:安徽省池州市贵池区2023-2024学年高一上学期期中教学质量检测数学试题
安徽省池州市贵池区2023-2024学年高一上学期期中教学质量检测数学试题四川省泸州市泸县第五中学2023-2024学年高一上学期第三学月考试数学试题陕西省西安市西安交大附中2023-2024学年高一上学期第二次月考数学试题重庆市缙云教育联盟2023-2024学年高一上学期12月月考数学试题(已下线)专题02 含参不等式与不等式恒成立、能成立问题-【寒假自学课】(人教A版2019)
名校
解题方法
8 . 已知函数
.
(1)解不等式
;
(2)若
,
满足
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8e2b28d57814feeebfc4a1134358f6.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f97a1212828a5aade4637eb80cc09bb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/728697bd9af445ae7525af9168fdf816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/475c9073257b3d0760e2c6051a82d592.png)
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2023-10-18更新
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2卷引用:安徽省池州市贵池区2023-2024学年高一上学期期中教学质量检测数学试题
9 . 设
,函数
,
(1)当
时,求
的最小值;
(2)判断
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db8f867196410e2828e2bbd3183b02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe872f2b561a4e540abd0a80736c08af.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解题方法
10 . 已知椭圆
的左、右焦点分别为点
,短轴的上、下端点分别为
,若椭圆的离心率为
,四边形
的面积为
.
(1)求椭圆
的标准方程;
(2)设两条直线
与
交于椭圆的右焦点,且互相垂直,直线
交椭圆
于点
,直线
交椭圆
于点
,探究:是否存在这样的四边形
,使得其面积为
?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d468be20b4d43f5de75416de20e8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6939353e2387477b4149848a2818e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设两条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e89eeabfbd71ecce6f4c9a89ccb695e.png)
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