名校
解题方法
1 . 已知函数
.
(1)判断函数
的奇偶性;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59a5a982f57dfe8e21edc2d66f74494.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783fb99cf8a560d95c8a135b4f0cb11f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8053cc02b6ef5842abf1d4201e8866f.png)
______ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e5af627744e2ce56baa5bc9504489ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8053cc02b6ef5842abf1d4201e8866f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b1a4719936e521a0dda97559b25d47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
解题方法
3 . 已知函数
的图象过原点,且
.
(1)求实数
,
的值:
(2)若
,
,请写出
的最大值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720b539b3a4b94c86ac18702a75bc577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e59703be42898c4aa7addcbd76a0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
4 . 已知函数
.
(1)若
时,求
的值;
(2)若
时,且
,求
的值;
(3)若
在R上是增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3e383174b251a0a6110702b27c6446.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499109aa338f9c5da30ae0a590809f3b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 已知函数
是奇函数,
是偶函数,且
.
(1)求函数
和
的表达式﹔
(2)求
在
上的值域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df412ae6aa217d7eaa8dd3b88faa9b04.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
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6 . 已知函数
是定义在区间
上的奇函数,且在
上是单调递增的,若实数a满足
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097889e0bca362daadf44411370df455.png)
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7 . 求下列函数的零点并判断函数的单调性.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bde8ac92ffdd77ee43b1d22df9c9024.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bde8ac92ffdd77ee43b1d22df9c9024.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c147a4288bca20398a5162b38420bc4e.png)
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解题方法
8 . 某呼吸机生产企业计划投资固定成本500万元引进先进设备,用于生产救治新冠患者的无创呼吸机,需要投入成本
(单位:万元)与年产量
(单位:百台)的函数关系式为
,据以往出口市场价格,每台呼吸机的售价为3万元,且依据国外疫情情况,预测该年度生产的无创呼吸机能全部售完.
(1)求年利润
(单位:万元)关于年产量
的函数解析式(利润
销售额
投入成本
固定成本);
(2)当年产量为多少时,年利润最大?并求出最大年利润.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3aa881aa0d491b5479b3affd059af0.png)
(1)求年利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc339cf6dd66599db64fa3fa44e608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bfc339cf6dd66599db64fa3fa44e608.png)
(2)当年产量为多少时,年利润最大?并求出最大年利润.
您最近一年使用:0次
解题方法
9 . 已知函数
.
(1)计算
的值.
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71f34c85990e08cb3c802d1b0ba7d8c.png)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e2cd127e77564966df0611c41c2970.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ba63023e6e5cf3bd202d53259640b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6500bd2a4ae36511d44eb5970ad9340f.png)
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10 . 若一系列函数的解析式和值域相同,但其定义域不同,则称这些函数为“同族函数”,例如函数
与函数
为“同族函数”,下面函数解析式中能够被用来构造“同族函数”的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/682783da376389793da8fba4dddf02e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bca503bf0215d34effc31f7148a44a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-12-19更新
|
98次组卷
|
2卷引用:云南省腾冲市2022-2023学年高一上学期期中教育教学质量监测数学试卷