21-22高一·湖南·课后作业
1 . 求下列各式中的
值:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d16c2b969f7a88ea3cb263e2ce5b2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d650a8bd8df65ceccafe0b4776e2cc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2439dcdb7a82394ef812e7dcd3e4c3.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927c347192be163d5746c56ebb6ac2ae.png)
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21-22高一·湖南·课后作业
2 . 将下列指数式化为对数式,对数式化为指数式:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/490cd1e5aabe7d8e1b98f73231eda914.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51acee9be8c83f56e34913dc7ba4181b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2344015bd69526dbdc5afac212f46d83.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95958901d93d5335850deb77c24128bb.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78387889582f2153e4b04b44f63d938.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d185cf17e1f87ed0951f85014b1d2fc9.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c4d8c6d82ea0d55a46ce04ef3ce77a.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b9a23da1902eaa1188c18b70cb7019.png)
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21-22高一·湖南·课后作业
3 . 求下列各式的值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fedbf356ead253d28a563f1e27536366.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a29b025d1d93cdf01acefdf0cd718e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2945785f9e33199199ea51162f98f0e7.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766ac0b3d9c427ac65362bfe95b70fb0.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee2223ef330c71ac1d8097bda38f926.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1152528a809e5fc024dfaa8f4f71e88.png)
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21-22高一·湖南·课后作业
4 . 计算:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2ab046e7bb4df26f299d656120dbcb.png)
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21-22高一·湖南·课后作业
5 . 用计算器求下列各式的值(结果精确到0.001):
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39354d0133b986946254bf49577b789.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9913ce67bf3c2af9c67d6f9d7fc76847.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de11eb116eea3e4abb8a68041b79429.png)
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21-22高一·湖南·课后作业
6 . 化简下列各式:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea9a63107774eb5f65ec84f9c7fe22d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3cf1981445a337dc0fd7b062c2139b4.png)
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7 . 已知
,
,对任意的实数
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c624ba61a6885c1b81ec8d6c9307ecfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846ab1c77d4cd15dda12ed65a910ad40.png)
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21-22高一·湖南·课后作业
8 . 作出下列函数的图象,并说出函数的定义域、值域.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb9a7411cf4eaa818bb43bf3e925725.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
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21-22高一·湖南·课后作业
9 . 已知
,
是方程
的两个实数根,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f773f840433e7963f741f7314fc943.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ea069c90fde97938535b1e4eb56764.png)
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21-22高一·湖南·课后作业
10 . 设
,
,用
,
分别表示
,
,
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f3998adfa2a5677ceb2a5414ae1e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73dd49a3799240408209c83c6c3af165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fd2f473dc3912ae3bb5630acfd5d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/056e11c8e3580c2ba0ee99c2fdd9be50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c706203c5897e3e5cf328b8b35cc3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409935305a9b245126068f4016904a5f.png)
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