名校
1 . 已知函数.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d40ba4094d5b8637ccba6a1b9cb7bcb.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27f3e843409e6334c8bb2cb683722f3.png)
您最近一年使用:0次
2 . 如图,在四棱锥中,底面
是正方形,
,且
,平面
平面
分别是棱
的中点,点
在棱
上.
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62cce4195e4e9045821a4a9e79a151cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a444941f7242b92a1e68b1d8a31ddb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edbb52befa94a9f54e6f3e3125918016.png)
您最近一年使用:0次
2024-03-25更新
|
458次组卷
|
2卷引用:重庆市铜梁一中等重点中学2023-2024学年高二下学期3月月考数学试题
名校
3 . 如图,四棱锥
的底面是正方形,平面
平面
,
,E为BC的中点.
(1)证明:
;
(2)若
为锐角三角形,求直线AE与平面PAD所成角的余弦值的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/e2a3105d-f623-4ef6-8c50-ad1071af465d.png?resizew=158)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304e9d63e7fdc531f4f7b805b765a1b1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2cc5f8cec8c498aa12c99c04e1c97d.png)
您最近一年使用:0次
名校
解题方法
4 . 已知整数
,集合
,对于
中的任意两个元素
,
,定义A与B之间的距离为
.若
且
,则称是
是
中的一个等距序列.
(1)若
,判断
是否是
中的一个等距序列?
(2)设A,B,C是
中的等距序列,求证:
为偶数;
(3)设
是
中的等距序列,且
,
,
.求m的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ceeff24d888e358d2261dc5297b4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f542b813cc3bed485d23760a4ecbec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0f3799612b81e85b87241ec8eee68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53422543e9a9311416faf749bdda67b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca35f4615ee3791b732587e958f8033f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab4a9bfa50054c808dd8190305d0abd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9639ce2dc706bba6ef6b773e25fe15a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d05111e65219f66ecee0710dd5c163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e57fcd5fb8f222b56f449662144b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0f3799612b81e85b87241ec8eee68.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1cceb7b65ea109ee8ab8af8c039271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6069b744fec0d7e00a7869ef8407c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad5b0dc4aad791035b5c4ab87bd4702.png)
(2)设A,B,C是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1bbb0a939ec3c2d0414c2351f93ae5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033bbaf9efac3563ae3ac2cd3d7c6738.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1e57fcd5fb8f222b56f449662144b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e754717bc7c470f9e21fa4fe17808ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f8b0161a8f09f832d9d49a781ee51c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/848aeab240f0f386f3fbe1ee1d8affc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff099d9d2d0a4a0c50339ff01e16010.png)
您最近一年使用:0次
2023-01-04更新
|
1447次组卷
|
6卷引用:重庆市铜梁中学校2023-2024学年高二下学期开学考试数学试题
重庆市铜梁中学校2023-2024学年高二下学期开学考试数学试题(已下线)专题1 集合新定义题(九省联考第19题模式)练(已下线)微考点8-1 新高考新题型19题新定义题型精选重庆市缙云教育联盟2024届高三下学期第二次诊断性检测数学试题北京市清华大学附属中学2022-2023学年高一(非马班)上学期数学期末试题北京市第五中学2023-2024学年高一上学期11月月考数学试卷