1 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a55057f6c840e1e378e9ee62e01c93a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a247a58c19921f43de886bdcf7ad7b8.png)
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名校
2 . 已知函数
(其中
,
).
(1)求它的定义域;
(2)求它的单调区间;
(3)判断它的奇偶性;
(4)判断它的周期性,如果是周期函数,求出它的最小正周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64580ddd4451df005cbd072c5bac6ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求它的定义域;
(2)求它的单调区间;
(3)判断它的奇偶性;
(4)判断它的周期性,如果是周期函数,求出它的最小正周期.
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3 . (1)已知
,
,用a、b表示
.
(2)设
,
为方程
的两个根,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9b89520de2880241fc32d465a1aa69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e943f0acc5de35a5bcd1b302f17b80be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0735291332a6f5ee5644633bed2753da.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4f7ac110287b1fe48085b15ec3a4a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea708fd46f22a6a72343904439f7901d.png)
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4 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818ce05ffc1c820afdfbdd51f177784.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c41f58c9da2847078b8cf3896acd3ef.png)
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5 . 计算求值:
(1)
;
(2)求值:
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49849ec891749916c01b1fdd2c308add.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd1753c3ee381091d5c974d0cf8d4d3.png)
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6 . 求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa9e63f9cb08df1ae2ef2ef8c586ccb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8441441592ab28e0fba7a53ad1c13ae9.png)
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2024-03-06更新
|
196次组卷
|
2卷引用:北京市东城区中央工艺美术学院附属中学2023-2024学年高一上学期期中考试数学试卷
名校
7 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d599f6aba0aac86a9284fefd4c9365a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a4fe27b9efbd78e46ca5e44725042a.png)
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解题方法
8 . 已知函数
.
(1)求方程
的根;
(2)求
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9953ad14eb6b31baa039063a3a81aa.png)
(1)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5015d61023e821d950fea032ef82ea.png)
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9 . 求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a91720f4f628dbe27d93c6d7564681e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe8e0db16af5321dd2b685460b48531.png)
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10 . (1)计算
;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a826369bb8650692bcc3f89efb0591.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afe178c80f9052acdea16d09c0592b2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16a5e97d8e33ec1e5e12d8713ab4d030.png)
您最近一年使用:0次
2024-01-05更新
|
238次组卷
|
2卷引用:安徽省安庆市第一中学2023-2024学年高一上学期12月“三新”检测考试数学试题