名校
1 . 已知函数
的最小值为
,其图象与y轴的交点为
.
(1)求
的解析式;
(2)求
在
上的单调递增区间;
(3)对于任意的
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c22a9b344e24d5f48ef8de38c0a2bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ed3345d00bfcbabb50d64c457a3b58.png)
(3)对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fa15ce20b7a075742dceb172153f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e39b4cc00edd5e6442eea18b6c16e5d.png)
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2 . 已知函数
且
.
(1)求实数a的值;
(2)若函数
在
上恰有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd535030ec92efe0b1a86a33b7306aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008925a3b60d366297f31efa54aa38c9.png)
(1)求实数a的值;
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5b9f57d3634f8337f1414f8a2a2dc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 收集一些用列表法表示的函数.
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名校
解题方法
4 . 已知函数
是定义在
上的偶函数,当
时,
,且
.
(1)求
的值,并求出
的解析式;
(2)若
在
上恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5356fc43fc0523369cacd5f5af19efbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66348f5e56ee57df86b684605eea2194.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc01c6292939914a1c7b78cafa54799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
5 . 已知函数
是定义在R的偶函数,当
时,
.
(1)请画出函数
图象,并求
的解析式;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/6ec28d4e-fa70-441a-aca3-bc53a06205ed.png?resizew=235)
(2)
,对
,用
表示
,
中的最大者,记为
,写出函数
的解析式(不需要写解答过程),并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119e06d01d35c30f2166624271535bff.png)
(1)请画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/6ec28d4e-fa70-441a-aca3-bc53a06205ed.png?resizew=235)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb38f882b0c43421f768b42bc69552b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976d91358362fa49d6da8021fd47e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2436715f7e189af4171b7b259705d1df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
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解题方法
6 . 已知函数
.
(1)若
,求
的取值范围;
(2)若
,且
,求实数n的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c01a507d9bc452b32c6fe5718b824092.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3c438fb4167ec239e555f01151dbba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef195526b03e757adaa3763cb0034b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eaab9d1ca5157310bbb5f4d6a846956.png)
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24-25高一上·全国·课后作业
解题方法
7 . 设
,且
,求下列函数的定义域:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1f6f73cfb1438fca4e6957abbace1e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bfe784d9f5f0333ec3942e1e4bb184.png)
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8 . 已知函数
(
,且
)是定义在R上的奇函数.
(1)求a的值;
(2)若关于t方程
在
有且仅有一个根,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571ce51eb32810277fb2fb9bd55a57bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d32d1a5a0732c7e4af737555e44ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求a的值;
(2)若关于t方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aade7468c98884534ab383a655a5f58c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9099a75c433e97bbe05052a00110571.png)
您最近一年使用:0次
2024-04-04更新
|
376次组卷
|
2卷引用:浙江省临平萧山学校2023-2024学年高一上学期期末数学试题
名校
9 . 已知函数
的最小正周期为
.
(1)求
的值;
(2)求函数
的单调递增区间;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ed5ead167f2c10043d92db2d9c16c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc10e023f4f70f39dd3da52874ba616.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
2024-04-04更新
|
712次组卷
|
2卷引用:广东省阳江市高新区2023-2024学年高一上学期期末数学试题
解题方法
10 . 已知函数
是指数函数.
(1)求
的表达式;
(2)判断
的奇偶性,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256de241741865f4e722b16f2ec4f98b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b97b96f6473fa08381a6b3d7993fedb.png)
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