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1 . 已知
.
(1)求关于
的函数
的单调区间;
(2)已知
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d70266454df40256268b19b055a88.png)
(1)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e546218f6fdd75ca0df86c1ab5a9d325.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98e409b439e93ab66c8b6d1bf82218d.png)
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2021-06-06更新
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410次组卷
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3卷引用:考点11 导数与函数的单调性-备战2022年高考数学典型试题解读与变式
(已下线)考点11 导数与函数的单调性-备战2022年高考数学典型试题解读与变式黑龙江省哈尔滨师范大学附属中学2021届高三第四次模拟考试理科数学试题东北三省三校(哈师大附中)2021届高三四模数学(理)试题
2 . 已知函数
,其中
,当
时,
;又函数
在
上单调递增,则实数
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd57ea26ad54a7381754ade671ef1ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa7d6aca3d470e5310aebc83345ee09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a6143c45019d4235e6b10ed1b1a031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7db9c637d2e6d6432070fdcaaea39c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.2 | B.![]() | C.1 | D.![]() |
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3 . 如图,用一张边长为3的正方形硬纸板,在四个角裁去边长为
的四个小正方形,再折叠成无盖纸盒.当裁去的小正方形边长
发生变化时,纸盒的容积
会随之发生变化.问:
![](https://img.xkw.com/dksih/QBM/2022/12/15/3131256354603008/3131444214079488/STEM/a6939027b81d4b88af7d3aef75efa8a7.png?resizew=29)
(1)求
关于
的函数关系式,并写出
的范围;
(2)
在什么范围内变化时,容积
随
的增大而增大?随
的增大而减小?
(3)
取何值时,容积
最大?最大值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://img.xkw.com/dksih/QBM/2022/12/15/3131256354603008/3131444214079488/STEM/a6939027b81d4b88af7d3aef75efa8a7.png?resizew=29)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
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2022·全国·模拟预测
解题方法
4 . 已知函数
,若
,则下列式子大小关系正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37aa94fb49142178126bf4d6730af798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0412dadd882acf6b948fbafff561c81f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
5 . 已知
,函数
,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb227e237f8da73d9e20adde7e9529dc.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
6 . 若函数
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5452b1c14d88ad6b716737b250f5b9b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039f9392112593405d4c0f1bea7d31f3.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
2021-05-31更新
|
361次组卷
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3卷引用:第三章 函数专练14—函数与方程-2022届高三数学一轮复习
2022高三·全国·专题练习
7 . 数列
中,若存在
,使得“
且
”成立(其中
,
,则称
为
的一个
值.现有如下数列中存在
值的数列有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/999c63e597de2014309c4f24ca66c8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62fd3005773980bec75a3e74af7629e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c972cbd63decec197aec1bdc306de67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52791ef8b889e658bfd51496a6f24d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 某单位设计了一个展览沙盘,现欲在沙盘平面内布设一条对角线在
上的四边形电气线路,如图所示,为充分利用现有材料,边是用一根
长的材料弯折而成的,边
,
是用一根
长的材料弯折而成的,要求角A和角
互补,且
,
.
![](https://img.xkw.com/dksih/QBM/2021/9/17/2810096417669120/2811315083894784/STEM/0c6bd723-69d8-486b-ab13-e5f5a8eb1402.png?resizew=279)
(1)求
的解析式,并指出
的取值范围;
(2)求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585c0b361a3e508f3dbb27a40b2dad5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a276be57f98560667fd0b54aed088437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e70ba0aab65610ed43410ee7f419aee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62cb3bd0831cbfa5815c1b0ff8cbcfbd.png)
![](https://img.xkw.com/dksih/QBM/2021/9/17/2810096417669120/2811315083894784/STEM/0c6bd723-69d8-486b-ab13-e5f5a8eb1402.png?resizew=279)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
9 . 在①曲线y=f(x)在点
处的切线与y轴垂直,②f(x)的导数
的最小值为﹣
,③函数f(x)在区间
上是减函数,在区间
上是增函数.这三个条件中任选一个补充在横线上,并回答下面问题.
已知函数f(x)=x3+ax+b,且满足 ____.
(1)求a值;
(2)若函数y=f(x)在区间[﹣1,2]上的最大值与最小值的和为7,求b值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf46dc84732526c826d84a71c407ea89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d31f9ce464f2ce3b24833b70595941c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eeedfe06363c256f8fb8ecefb5eb84e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e53ad91118d989eec93c03312c20d3f2.png)
已知函数f(x)=x3+ax+b,且满足 ____.
(1)求a值;
(2)若函数y=f(x)在区间[﹣1,2]上的最大值与最小值的和为7,求b值.
您最近一年使用:0次
2021-08-04更新
|
293次组卷
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5卷引用:湖北省武汉市第四十三中学2021-2022学年高二下学期期中数学试题
湖北省武汉市第四十三中学2021-2022学年高二下学期期中数学试题2023版 苏教版(2019) 选修第一册 突围者 第5章 第三节 课时3 最大值与最小值江苏省淮安市2020-2021学年高二下学期期末数学试题(已下线)模块四 专题1 高考新题型专练(劣构题专练)(人教A)(高二)(已下线)模块三 专题3 高考新题型专练 专题1 劣构题专练(苏教版)
名校
10 . 下列命题中真命题有( )
A.已知函数![]() ![]() ![]() |
B.![]() ![]() |
C.在![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.若函数![]() ![]() ![]() |
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2022-11-02更新
|
181次组卷
|
2卷引用:福建省厦外石狮分校、泉港一中两校联考2023届高三上学期第二次月考数学试题