名校
解题方法
1 . 在函数
的图象上有A,B,C三点,它们的横坐标分别是
.
(1)若
的面积为
,求
;
(2)判断
的单调性;
(3)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c53c0ecf03e384b16a7ba1d9eea455b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330c091c6d352c007ce7395751bd58e9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db36b05ca6e82ba23fe69aecd514b67.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db36b05ca6e82ba23fe69aecd514b67.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db36b05ca6e82ba23fe69aecd514b67.png)
您最近一年使用:0次
名校
2 . 已知函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd5a997d0cb62f6aa243758b8f73b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba9421175aa0fa4542078c2e60a42fcf.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
2023-02-18更新
|
505次组卷
|
6卷引用:河南省青桐鸣联考2022-2023学年高一上学期期末数学试题
名校
解题方法
3 . 函数
(其中
,
为常数,且
,
)的图象经过点
,
.
(1)求函数
的解析式;
(2)若不等式
在区间
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e29046ec4c572ff4849120ecd4d7426.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/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a25877cc9e2856ebaf5d9f1e118d72a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de9dca01064b9578f28be610bb341e4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e62d857b294fa8059eccea93ea9f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-06-19更新
|
591次组卷
|
3卷引用:江西省赣州市2022-2023学年高一上学期11月期中考试数学试题
名校
解题方法
4 . 设
,
,
,其中
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/051cf733e61330732954a6266084b31c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46ee5d892e46c6d500de40089661fc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2df544ca99aafb3f7e10565cdd2c8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-09-30更新
|
424次组卷
|
7卷引用:福建省福州市格致中学2022-2023学年高三上学期期中模拟测试数学试题
福建省福州市格致中学2022-2023学年高三上学期期中模拟测试数学试题福建省福州第一中学2021届高三第一学期期中考试数学试题(已下线)专题05 指数函数与对数函数(客观题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)(已下线)专题05 指数函数与对数函数(客观题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题05 指数函数与对数函数(客观题)-2021年高考数学(理)二轮复习热点题型精选精练安徽省淮南市兴学教育咨询有限公司2023-2024学年高三上学期第二次段考数学模拟试题(已下线)重难点2-1 指对幂比较大小(8题型+满分技巧+限时检测)
解题方法
5 . 函数
的定义域为
,若存在正实数
,对任意的
,总有
,则称函数
具有性质
.
(1)分别判断函数
与
是否具有性质
,并说明理由;
(2)已知
为二次函数,若存在正实数
,使得函数
具有性质
.求证:
是偶函数;
(3)已知
为给定的正实数,若函数
具有性质
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2688c3e4089a131193925f8366b108c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46bf6ded2f869744c6c50785f974aa6.png)
(1)分别判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccbd0d2acb9d499719f4ff04334e94cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253893d2bf2b944a6de271463c3e7929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8f894492a8126f5f133dec4cd68833.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46bf6ded2f869744c6c50785f974aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f1237b460eca4e05b88832844b22ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5606f53ddd9b02fb3c683f3b48fd861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46bf6ded2f869744c6c50785f974aa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
6 . 函数
的定义域为
,满足:①
在
内是单调函数;②存在
,使得
在
上的值域为
,那么就称函数
为“优美函数”,若函数
是“优美函数”,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3cbbd6af2784dc00e271ace3d4e885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6408971212257f3dd7e05ecbf6f77451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12ad42a40c1c2207ed387ff3d828f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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名校
7 . 已知函数
.
(1)求函数
的值域;
(2)若关于x的方程
恰有三个不同的解,求实数a的取值集合;
(3)若
,且
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bcd42d86c9e71661ddb10f1fe21fedf.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38290891814c23d4b27c0cb0111e53a9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2860ac4d3997accc7093982bc53c3264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6c46b6e79c183d20f697b9e87356c3.png)
您最近一年使用:0次
名校
8 . 若
,
, 且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b310bd01c4deb2e6370880c2c4ed13e.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2023-02-22更新
|
1103次组卷
|
3卷引用:四川省宜宾市叙州区2022-2023学年高一上学期期末数学试题
名校
解题方法
9 . 设函数
,则
的单调递减区间为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03bda3d460c1b1453b3a4c78bfbba68f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-02-15更新
|
419次组卷
|
6卷引用:甘肃省金昌市永昌县第一高级中学2022-2023学年高一上学期期末数学试题
名校
解题方法
10 . 已知
是定义域为R的奇函数,且
为偶函数.当
时,
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9206a9bc9ea1f9d1d43314e3fa678e7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-01-06更新
|
491次组卷
|
6卷引用:河南省郑州市第四高级中学2022-2023学年高一上学期期末数学试题