解题方法
1 . 如图,在四棱锥
中,底面
是矩形,侧面
底面
,
是边长为
的等边三角形,点
分别为侧棱
上的动点,记
,则
的最小值的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235d1553f6806c1eee3b17b94d23f0f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e49817548cb45b3d1e58570644c6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b81c01cc7eda0e228f6e2698a009cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1cf0e03059d771b4148356396a4908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/a9da7095-10d3-48db-ba34-2c82bb5d3222.png?resizew=266)
您最近一年使用:0次
名校
解题方法
2 . 在
中,角A、B、C的对边分别为a、b、c,且
,
,有以下四个命题中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea43cdd29ad1e9d4658072c68097aa74.png)
A.满足条件的![]() |
B.![]() ![]() |
C.当A=2C时,![]() ![]() |
D.当A=2C时,若O为![]() ![]() ![]() |
您最近一年使用:0次
2020-07-25更新
|
2249次组卷
|
3卷引用:湖北省武汉市新洲一中2019-2020学年高一6月月考数学试题
名校
3 . 如图,直角
的斜边
长为2,
,且点
分别在
轴,
轴正半轴上滑动,点
在线段
的右上方.设
,(
),记
,
,分别考查
的所有运算结果,则
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/bb2a706f-550c-4d08-9bb0-ff8308a41d51.png?resizew=212)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e744f480e11f588570c5d6738799f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a075bc0511cf31ed51953fccf9922f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82ecddfc6f7db708243cbd879f7ee26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af7056e72e32e2d6eb952f58d04a3af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/bb2a706f-550c-4d08-9bb0-ff8308a41d51.png?resizew=212)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2019-09-13更新
|
4292次组卷
|
8卷引用:浙江省金华十校2018-2019学年高一下学期期末调研考试数学试题
浙江省金华十校2018-2019学年高一下学期期末调研考试数学试题江西省南昌市洪都中学2019-2020学年高二上学期第三次联考理数试题湖南省长沙市长郡中学2020-2021学年高二上学期入学考试数学试题安徽省合肥市第一中学2022-2023学年高一下学期期中考试数学试卷广东省江门市新会第一中学2023-2024学年高一下学期期中考试数学试题(已下线)【新东方】双师317高一下(已下线)期末重难点突破专题01-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)沪教版(2020) 必修第二册 单元训练 第8章 向量的应用 (B卷)
名校
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9274d28fdc9ef5ee837ad0fb685f95af.png)
的图象过点
,
,
.
(1)求
,
的值;
(2)若
,且
,求
的值;
(3)若
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9274d28fdc9ef5ee837ad0fb685f95af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11c789775da5ef57988932b47c4e1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/982227120f8a3fcd18ca4e4d7038e8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de76e314a6d3575706d8c03b92c0d36e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fb378d6bf91902efa15881985c5e69.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fb485e0c52854c1b9fd90247d9f5110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6c5e38df791565023365ab762f3a2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cee06cf0ca583e912e5225850f5d3a0.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4695e7ce5d4fbedb2ba790f70af0224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc31ca2d4076db37385835944242c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-09-12更新
|
2360次组卷
|
2卷引用:广东省珠海市2018-2019学年高一第二学期期末质量监测数学试题
名校
5 . 已知
是定义在
上的函数,如果存在常数
,对区间
的任意划分:
,和式
恒成立,则称
为
上的“绝对差有界函数”,注:
.
(1)求证:函数
在
上是“绝对差有界函数”;
(2)记集合
存在常数
,对任意的
,有
成立.
求证:集合
中的任意函数
为“绝对差有界函数”;
(3)求证:函数
不是
上的“绝对差有界函数”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ecf481b6b83aa59a2befd7c4bfdbf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ecf481b6b83aa59a2befd7c4bfdbf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804319e6cb58f07ee82ee364e334f36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d59454bfd0e833a2e9ee1214e757ce3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ecf481b6b83aa59a2befd7c4bfdbf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2955a1ae6ca7b3a7c9fd5b3e7bdc09.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2bbf1e98755992049fae4026c9f406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52c1652dbdeabf54e907c7caafe01027.png)
(2)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0cf1f3b241c059034699b86386ecd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568c3f233ab548bc54c41e28ba75f705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3298db0d8bc1daf7468264427a6b43bc.png)
求证:集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(3)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa91bf3078cba8317ef4aedbb7dd9f66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e3d25c9f38a3cf745fed1ce3297be.png)
您最近一年使用:0次
2019-05-07更新
|
868次组卷
|
3卷引用:上海市复旦大学附属中学2018-2019学年高一下学期期中考试数学试题
名校
6 . 已知函数
,且函数
的图象与函数
的图象关于直线
对称.
(1)若存在
,使等式
成立,求实数m的最大值和最小值
(2)若当
时不等式
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6090334f2695f19382eed7425c4f9f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6461468072bd27afd53fd5f9c3bf344.png)
(1)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2645398c3946e1a9282c219824f167d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9ebfe1a1b9426690757335c2649bb4.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fdb7ecc0b00a96bdf49f7189342bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7fe88d3778573e668f4530405b29e6e.png)
您最近一年使用:0次
2020-01-30更新
|
2657次组卷
|
4卷引用:上海市七宝中学2016届高三上学期期中(理科)数学试题