名校
解题方法
1 . 已知M={小于10的正整数},A⊆M,B⊆M,且(∁MA)∩B={1,8},A∩B={2,3},(∁MA)∩(∁MB)={4,6,9}.
![](https://img.xkw.com/dksih/QBM/2021/10/22/2834614199107584/2835043424796672/STEM/5541cd7d-3139-4c29-9558-833d88478f32.png?resizew=212)
(1)补全Venn图,并写出集合A∪B.
(2)若S⊆A,T⊆B,直接写出集合S∩T
(3)求(∁RM)∪[∁Z(A∩B)].(其中R为实数集,Z为整数集)
![](https://img.xkw.com/dksih/QBM/2021/10/22/2834614199107584/2835043424796672/STEM/5541cd7d-3139-4c29-9558-833d88478f32.png?resizew=212)
(1)补全Venn图,并写出集合A∪B.
(2)若S⊆A,T⊆B,直接写出集合S∩T
(3)求(∁RM)∪[∁Z(A∩B)].(其中R为实数集,Z为整数集)
您最近一年使用:0次
2021-10-22更新
|
405次组卷
|
2卷引用:江苏省苏州实验中学2021-2022学年高一上学期10月月考数学试题
解题方法
2 . 作出下列函数的图像,并回答问题.(不用列表,不用叙述作图过程,但要标明必要的点或线)
(1)
(2)
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572375906205696/1572375912325120/STEM/4f342207c0664ab785f9b2f98b4c6f96.png?resizew=466)
(Ⅰ)写出函数
的单调区间及其单调性_____________________________ .
(Ⅱ)若方程
有两个不同实数解,则
的取值范围是______________ .
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b61608d785aa5aab652b78217b1708.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6dd6658ff5571b8ae74ac6acf51c859.png)
![](https://img.xkw.com/dksih/QBM/2015/12/22/1572375906205696/1572375912325120/STEM/4f342207c0664ab785f9b2f98b4c6f96.png?resizew=466)
(Ⅰ)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6b77d785e48730b1993787e8ed9ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
3 . 若函数
为定义在
上的奇函数,当
时,
(函数图象如图所示)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/bb307990-af1b-45ec-a674-69f2bf791f8a.png?resizew=198)
(1)在给出的坐标系中,补全函数
的图象,写出函数
的解析式,并指出函数
单调区间.
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efad31d7f8dec044fadb0c38f6a8146.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/bb307990-af1b-45ec-a674-69f2bf791f8a.png?resizew=198)
(1)在给出的坐标系中,补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39620429c511534bfaa25ead63cd308d.png)
您最近一年使用:0次
解题方法
4 . 如图所示,定义域在
上的奇函数
的部分图象是抛物线的一部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/cb35b9f5-8728-4f5c-a70a-7cccc122464e.png?resizew=166)
(1)补全
的图象并求
的值;
(2)求
的解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/cb35b9f5-8728-4f5c-a70a-7cccc122464e.png?resizew=166)
(1)补全
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06d8895503d214a7d9f8519561f64bc.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
5 . 已知定义在R上的偶函数f(x),当x≥0时,f(x)=(x﹣1)2﹣1的图象如图所示,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/f3461af7-004e-4596-8e5f-1172b129e666.png?resizew=138)
(1)请补全函数f(x)的图象并写出它的单调区间.
(2)根据图形写出函数f(x)的解析式.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/3/f3461af7-004e-4596-8e5f-1172b129e666.png?resizew=138)
(1)请补全函数f(x)的图象并写出它的单调区间.
(2)根据图形写出函数f(x)的解析式.
您最近一年使用:0次
2020-01-19更新
|
138次组卷
|
2卷引用:四川省宜宾市第三中学2018-2019学年高一上学期10月月考数学试题
名校
6 . 已知定义在R上奇函数f(x)在
时的图象是如图所示的抛物线的一部分.
![](https://img.xkw.com/dksih/QBM/2020/6/30/2495909409947648/2496450440953856/STEM/a278882f583c47e2a623f1c25d700051.png?resizew=166)
(1)请补全函数f(x)的图象;
(2)写出函数f(x)的表达式;
(3)讨论方程|f(x)|=a的解的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://img.xkw.com/dksih/QBM/2020/6/30/2495909409947648/2496450440953856/STEM/a278882f583c47e2a623f1c25d700051.png?resizew=166)
(1)请补全函数f(x)的图象;
(2)写出函数f(x)的表达式;
(3)讨论方程|f(x)|=a的解的个数.
您最近一年使用:0次
7 . 已知奇函数
在
时的图象是如图所示的抛物线的一部分.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/e5cfdfcd-9b14-4203-867c-c1cd6325e1ab.png?resizew=174)
(1)补全函数
的图象并写出函数
的表达式;
(2)写出函数
的单调区间;
(3)若函数
,
,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/e5cfdfcd-9b14-4203-867c-c1cd6325e1ab.png?resizew=174)
(1)补全函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b4e537b54f3f6346d7f7475dd1238b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
您最近一年使用:0次
8 . 已知幂函数
的图象经过点
.
(1)求函数
的解析式,并判断奇偶性;
(2)判断函数
在
上的单调性,并用单调性定义证明.
(3)作出函数
在定义域内的大致图象(不必写出作图过程).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89813b958012156f03283a0a01643c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90e8b963ebe973c2016e6e372699905.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd1066af39045e7b66b165977f9ccb74.png)
(3)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
9 . 已知函数
是定义在R上的偶函数,当
时,
的图象是指数函数图象的一部分
如图所示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
Ⅰ
请补全函数图象,并求函数
的解析式;
Ⅱ
写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a154aa77357cb73cbcd37275d873a324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423314079e772f46d346caafd68a0631.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/cb4f857c-f6a1-4d2e-b2e0-a723e79aff3d.png?resizew=200)
您最近一年使用:0次
名校
10 . 若函数
为奇函数,当
时,
=
,(如图所以).
(1)求函数
的表达式,并补全函数
的图象, 指出函数
单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/2018/10/23/2059954973622272/2064950341926912/STEM/9edd3bada50b438b8db34f10879998c0.png?resizew=37)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25ed58cba944378dd915f8f13128f4f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)求不等式的解集.
![](https://img.xkw.com/dksih/QBM/2018/10/23/2059954973622272/2064950341926912/STEM/2ee6e4fba14249bea6ef62032fc8bab2.png?resizew=234)
您最近一年使用:0次