1 . 已知
,用分数指数幂表示下列各式:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59745f8b5b1e772f5af1571fa4fd4aea.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3df3d018b046c73eb8fb862928eca7f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee915d1702222cc7d2eeb9440aa5d16.png)
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2021-11-21更新
|
178次组卷
|
2卷引用:北师大版(2019) 必修第一册 突围者 第三章 第一节 指数幂的拓展
2 .
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9babe6b12c37bcb597466624a5d348d3.png)
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3 . 已知
,
,
,若式子
表示一个常数,则r=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142ca1ff5f26dc668c27ae77e7c366b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae59100e55bf4792c4964ada4084e7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8004dbfa9a794615e18a87d15126242.png)
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2021-11-21更新
|
199次组卷
|
5卷引用:北师大版(2019) 必修第一册 突围者 第三章 第二节 指数幂的运算性质
4 . (1)已知
,
,求
的值;
(2)已知
,
,化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb21fb53792e7cd3e652244de6d9c5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403b3b0af116cc1d2767d97343bf8ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1850597a8f1416cb1dc30bd733f19d03.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b50aca10e138785d3ad0d9496defc96.png)
您最近一年使用:0次
2021-11-21更新
|
278次组卷
|
3卷引用:北师大版(2019) 必修第一册 突围者 第三章 第二节 指数幂的运算性质
5 . (1)若
,求
的值;
(2)已知
,求
的值;
(3)已知
,
,且
,求
的值;
(4)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec04f1e51e855eef13f57ccb8594d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85656999795e0ef3230289d1eb4905b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a1023f02fdd22b95f044dd2e488cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2776fa34919d0edc28570bec60ce54e1.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31b9442c77f394e24f722e626d85d249.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872be4645b9ccafc2744f8c822d17005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d229cbec798c9c278a9b5979cb38247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577ed0748e1a07bb8a10532f4a9e4fb5.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d3f3b4cd08c2b41a7f66788e7fc08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611cc97e8f5ccdae8a681da7f0039c24.png)
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6 . (1)计算:
;
(2)已知
是方程
的两根,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75946705d1117c5f31d4bc38b7f6ad0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff93e03b22c6053550486ea4e911c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0a34a409d012d914ee5fbe9f8f8da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f04127050072868f66cc22dc81ae0b.png)
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7 . 已知函数
,其中
为不超过
的最大整数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f29cc9c9e593d3d384a27bede47127.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22ca14634c770983a4959745ee7ab95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f29cc9c9e593d3d384a27bede47127.png)
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21-22高一上·北京西城·期中
名校
8 . 在下面四个等式运算中,正确的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed609f55a3d6a4015002839f9045d774.png)
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10 . (1)计算
;
(2)已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287c2cff132f3260c5d6ef048aae5858.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9903b38bf0989fc0875fbdd2a318ad17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f145d111c1cc4a0b8ab23256f98e77e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2fc9098c463f094a47e46eac3097a35.png)
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