解题方法
1 . 已知下列不等式成立,求实数a的取值范围(
,且
):
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d572c662857a033fc169db5346ed282.png)
(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/2d572c662857a033fc169db5346ed282.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a546e38eed96976dca07b034e2f2c338.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55547937d78e234953627a81bc27b9d.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52aefc63f485e3f3c80059bd0fdc1742.png)
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解题方法
2 . 已知
,
,判断下面结论的正误:
(1)
;
(2)
;
(3)
;
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aff0b6cddaab8643b8eb81640f27b81.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6358e10842d4882dc4ad7b0adda9bf9e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a09eb3922cd28fc8aa2ddfef8ae8cd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b65502be80ab5dc6ec9cabbc28fdcbca.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91389dbcb5a452479fbd894a5f65434b.png)
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解题方法
3 . 已知
,比较
,
,
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aff0b6cddaab8643b8eb81640f27b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ac2b89fd2a7b5bbef20da98108f695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221260a549e0621840e95da13db9a34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03edc33b78f390e0fe20a9e981750e89.png)
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4 . 求下列函数的定义域和值域:
(1)
;
(2)
;
(3)
;
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baec6b92f80b25469ce5942e32e1c10b.png)
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9b3512175e420b1ff41a8f12914f93.png)
(6)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aaa385c35c95f18ae65b124a50a83ac.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee82dfe641a491a0514d6ddcb285e1c1.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d3b125f079d062b99a2feaac2e814c0.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baec6b92f80b25469ce5942e32e1c10b.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff9b3512175e420b1ff41a8f12914f93.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a849c21d3f616d1bdcf9b462ae0333.png)
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5 . 已知三个指数函数
,
,
的图象如图.
(1)试比较a、b、c的大小;
(2)指数函数的底数越大,它的图象与直线
的交点的纵坐标是越大还是趋近于0?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455d1f646327a58e071b0607c10effae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb6833f8fb83c7e7db658ad4e541392.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/25/8f897ae6-36f1-418b-85df-8ca2a3aa76ed.png?resizew=128)
(1)试比较a、b、c的大小;
(2)指数函数的底数越大,它的图象与直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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解题方法
6 . 已知下列不等式成立,比较m,n的大小:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12292f5ce1fe4f96e1bae2fe0c848ce8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38b2a6fcf85e3f79f2e5724c63590f3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98efb77f8c1efb2343285a6e324c9a8f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e06ef84f0c65ad5b3c8a45cc7692f8.png)
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解题方法
7 . 比较下列各题中两个数的大小
(1)
,
;
(2)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb4eaf358c680b9a895b8987ce0387b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9991744897e0f646f05afdb46faa755.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9504e15f63ca7483df6c5fa7d2eef97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e41f49158e9415ae302572c0b69fab.png)
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8 . 在同一平面直角坐标系中画出下列函数的图象,并讨论它们之间的关系:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/620cc847d268928dd532c882183f047a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33569967941eca435c098c3ac807c471.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace518b89ae8b7a849d608636b974739.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52c7540e410063f3dc738dcf30bc00a.png)
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9 . 对比以往学习的代数运算,指数运算有哪些特点?
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解题方法
10 . 求下列函数的定义域:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cd0760e223edc4bdd525b68b6858d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b626c7ef071cbeab563ffb09e32c89c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa29521fad049f4307d9f82f56d8849c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ddef57081f055f399330f08f55d78d.png)
您最近一年使用:0次
2023-10-08更新
|
450次组卷
|
4卷引用:习题3-3
(已下线)习题3-3北师大版(2019)必修第一册课本习题 习题3-3(已下线)第4章 幂函数、指数函数与对数函数单元复习+热考题型-同步精品课堂(沪教版2020必修第一册)【导学案】3.2 指数函数的图象和性质课前预习-北师大版2019必修第一册第三章指数运算与指数函数