1 . 求下列各式的值:
(1)
.
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c23ac2e6a7d41092b4e489d5e0c3706.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc6fd279402023728cbb3b792573131.png)
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2 . (1)计算:
;
(2)已知关于
的不等式
的解集为
,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1e7ed2e71efd2d76f1dea986c1977c.png)
(2)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4152a3a03a66a5d7612d098d5bbc1885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e970c7f3475d3fbfa01d06a3b43dd4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1654177ce5e801aa99ad3c822505229.png)
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3 . 已知
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0db6be12c28ee397224783b19ff38ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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解题方法
4 . 同构式通俗的讲是结构相同的表达式,如:
,
,称
与
为同构式.已知实数
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d20855d6ed210d5dc07bcb7e33e1f5.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8867b600581522ab45b638ad029c3ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f52ba703b6a692c50b6b6743fc97bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5f6ae2e808ddbd88ccfcb6841bc0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9595718a137021be7ca1874f41897f08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635036f6b2e35e4e194fc73516d7df2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc30e964202338e6cea3039ad0f6bcf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d20855d6ed210d5dc07bcb7e33e1f5.png)
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5 . 升温系数是衡量空调制热效果好坏的主要依据之一,把物体放在制热空调的房间里升温,如果物体初始温度为
,空气的温度为
,
小时后物体的温度
可由公式
求得,其中
是一个随着物体与空气的接触状况而定的升温系数.现有A、B两个物体放在空气中升温,已知两物体的初始温度相同,升温2小时后,A、B两个物体的温度分别为
、
,假设A、B两个物体的升温系数分别为
、
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4438bae1705c0f26beddf41322c087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b344bc91733e1824b4d90036e360d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24464a50d077f18190cc14c2af4a2bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd605e2002a46acdfcc09e11e8aa418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8605ae9897d5d6f0679b4aa80e014bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b3e87e9bb00d9ba09cb5660aebd76f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
6 . 已知函数
,
.
(1)求函数
的值域;
(2)求满足方程
的x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dc7056c48341e93259e2771873da7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a43d580bf2ebcbe6fe2623e03cd401.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)求满足方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0008d46dc238d710a1efe7e2c17237.png)
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7 . (1)求值:
;
(2)求值:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c88ecd2d98e05d0c960fdda43f738b.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0c5f43716d2b0a518670a1f6fdfb18.png)
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8 . 设
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7147d55fc79c193a0b95d2d646fa42ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4371aa3a6bd4b849ea62d211b5505ca.png)
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9 . 函数
是定义在
上的奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b29f5f98e38f1236df456088485b40f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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10 . 求值:
(1)
.
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10745b6ff2c9542706cd99a214386fe.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f920ea43c617f0880a5b9948af06e474.png)
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