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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解题方法
3 . 比较下列各组数的大小.
(1)
、
与
;
(2)
与![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74258d8ed90c65056ea315529dbea7a6.png)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b190c6c0c1d87ece4ad7e502ed6104f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4984d43980144133e5677307bcbf2d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8633d636d08369d0d3fc32b609cba57.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8324bbcf7ab3d838882bbf89eb07a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74258d8ed90c65056ea315529dbea7a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e85369d9d0c472a1ecea5e86f440723.png)
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解题方法
4 . 比较下列各组数的大小.
(1)
,
,
;
(2)
,
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b9afd1b4117f08f094728cb11ecfdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3095af352bb6014a8a36597873695f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8447b9bda32d8aaba88d9ae662682b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334a29354fe07e80f6f7dddd1511df03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668583c129e49cbde27e5dc09db551dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a171bbd33025974fe5dc5fdb77f3422.png)
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解题方法
5 . 已知函数
(常数
).
(1)求
的定义域;
(2)判断函数
的单调性;
(3)当
满足什么关系时,
在
上恒取正值?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3096f83a35eeda608d832b90049cc428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39155d3ddd1313d56725a722794b68e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
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解题方法
6 . 已知函数
是
的反函数
且
,且函数
的图象过点
.
(1)求函数
的解析式;
(2)若
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c773633c5cfdccc24ee6388dc11b88e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e622d1087ac55db6fa3e450199446f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bb28003d53334358dddcbb449ba0b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3cba47780bdf599ff60971a07d24003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
7 . 化简求值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc17c439c945834dcac60b6793f1a5fd.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc17c439c945834dcac60b6793f1a5fd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a51a002f4568088cd8b935d43280889.png)
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8 . 求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845c533924a240fa7d790b632e7ddaf9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aeacb4ef70cb7e720520c0583238a1a.png)
您最近一年使用:0次
2023-04-14更新
|
1864次组卷
|
4卷引用:第四章 指数函数与对数函数 (练基础)
名校
9 . 有一种候鸟每年都按一定的路线迁徙,飞往繁殖地产卵,科学家经过测量发现候鸟的飞行速度可以表示为函数
,单位是
,其中
表示候鸟每分钟耗氧量的单位数,
代表测量过程中某类候鸟每分钟的耗氧量偏差.(参考数据:
)
(1)当
,候鸟停下休息时,它每分钟的耗氧量约为多少单位?
(2)若雄鸟的飞行速度为
,同类雌鸟的飞行速度为
,则此时雄鸟每分钟的耗氧量是雌鸟每分钟的耗氧量的多少倍?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4624ec753cc4e94859f31f974c901734.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d883dedd48518c0034fe1ccf92a6975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2c54cc6dc0734481fa46248cd3584c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d662dfb2f92ce2a810fae17274961849.png)
(2)若雄鸟的飞行速度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837707b2af60b28205963a8fa8e1db86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5dbacb333a6a9b3cf715d57c328ad57.png)
您最近一年使用:0次
2023-03-12更新
|
875次组卷
|
2卷引用:第四章 指数函数与对数函数 (单元测)
名校
解题方法
10 . 已知
,
,
.
(1)求
的值;
(2)解不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc3a4aa128b5c656a2ef95ea40cda4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74762245515c578ff631d4536c29fe9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289295fad0d1c11fc74470e8bb0c6be0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d654e6c0e0f09a40e1c68d23b25b9f3e.png)
您最近一年使用:0次
2023-02-18更新
|
467次组卷
|
8卷引用:北师大版2019必修第一册综合检测卷-2022-2023学年高一数学北师大版2019必修第一册