24-25高一上·全国·课后作业
解题方法
1 . 设
,且
,求下列函数的定义域:
(1)
;
(2)
.
![](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/6d1f6f73cfb1438fca4e6957abbace1e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bfe784d9f5f0333ec3942e1e4bb184.png)
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24-25高一上·全国·课后作业
解题方法
2 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
(
,且
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add8106ee6fe66335f95567b6b3d29d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76d8201f4abfe5a269170d567913fb3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc3838b938a5908f907591190c81d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c428e57083c670001701f1f77efc870b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599bfd656b1860ad4bfce33d61b51203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d10f3fef6c61b7e5ccf3d5830220805.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c818194b5110c5a86551a7d7d3b38c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbef67a04b15c31013a05af20f6c9e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
您最近一年使用:0次
24-25高一上·全国·课后作业
3 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6b62fd3d957bea57b298adad97fbc8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e261229041a72370201784e8414c35f3.png)
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24-25高一上·全国·课后作业
4 . 计算:
(1)
;
(2)
;
(3)
(
,
,且
,
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262af283ababdfbd4c43605acf7d845a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3038e15302e53fd50808c8b89d604514.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d34ffe7d57e109bd2c444b198c6a8e.png)
![](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/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406185f4ad8bcd99e23adc8d289088ed.png)
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5 . 设
,若复数
在复平面内的对应点在第三象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bffc08b673c01ec35a62b05cbbf8b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
6 . 已知下列不等式成立,比较正数m,n的大小:
(1)
;
(2)
;
(3)
(
,且
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5e627fd620a1c8a0b0fb8aaea21adf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4048bd0c99412b0928e96e227dc3cf01.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d1ee639114bb30095eeb425a88ebbaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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7 . 求下列函数的定义域:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9457936782dd115bd8f5ee4f7b89ad03.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4778a8f3aeb6a0715e570e198af61d07.png)
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8 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
(
,且
,
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3a844d118337b249319df9f677ff68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f30787ec695c8ada488e61933e9b3c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e234d52b17f7566f540442a9dde5bfe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e14615b567e97fb344054e087783bac.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8249d4825c18ee5dfbdce5c93800598c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f39f5f72ceb7ea766e9be5ceb2f08d5f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccbca6a8542fc73c25a02a864cd3f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/922356464de580fafd1690c579e879bc.png)
![](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/66eba129d92ede31b728e2590c4db2a1.png)
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9 . 写出下列对数函数的反函数(用x表示自变量,用y表示函数):
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3775a629bb29e890fd37692f5a6cf71.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a90955ae3a90343d164a91e5f835c.png)
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10 . 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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