1 . 已知x,y为非零实数,其中
,且
,试判定下列各式哪些一定成立,哪些不一定成立,并说明理由:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9b0357298eba0acefaea1cd86f10114.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7c7237a1a0e10ca466d5c562979bf2.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51263bcc38d75959430636061ead408.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9e55cbe11ce05263af41abd8b782f2.png)
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2 . 用m,n或b,c表示x,其中m,n,a,b,c均大于0,且
.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9ba448405a3a304be9c6cfbad27a1c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5b3e90b617717e7057a3794836c4d0.png)
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20-21高一·江苏·课后作业
3 . 一种放射性物质不断变化为其他物质,每经过一年剩留的质量约是原来的75%,大约经过多少年,该物质的剩留量是原来的
?
(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f4d8318aba2dd01bfdc4c6b77c6121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab1cb23df1e01a5120207dbfb4ae6c9.png)
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2021-10-30更新
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383次组卷
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5卷引用:专题5.1 函数的应用(基础巩固卷)-2022-2023学年高一数学必考点分类集训系列(北师大版2019必修第一册)
专题5.1 函数的应用(基础巩固卷)-2022-2023学年高一数学必考点分类集训系列(北师大版2019必修第一册)(已下线)第八章本章测试广西柳州市2021-2022学年高一12月联考数学试题苏教版(2019)必修第一册课本习题第8章本章测试(已下线)第四章 指数与对数(压轴题专练)-速记·巧练(苏教版2019必修第一册)
20-21高一·江苏·课后作业
4 . 设
,
,已知
,
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9e52533ca8a93d9af0467afd26ae79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57c6062f87e4ad20c817b701bb8de9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31d50f5f012acfc84792e03272469f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cb8160f60ea06bf2cdef63accf3f74.png)
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20-21高一·江苏·课后作业
5 . 我们知道,任何一个正实数N可以表示成
(
,
),此时
(
).当
时,N是
位数.
(1)试用上述方法,判断
是多少位数(
);
(2)当
时,你有怎样的结论?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f60a6c27065c93f649915f459bd2ab65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d31e73155193dcdf7b36c22679954b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf910f82c3094b267a3d481d23d829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b277bc2867a0a4672b28fdc6fa36ad54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3dddda81c76b6abb6ba040f6bde5494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
(1)试用上述方法,判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a90f7abe619aab652d6fd2531f77b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282724a3b2b45f1966a91389fdcedfcf.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3838d126e7480e3e0827999f3cf9f771.png)
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