解题方法
1 . 某体育馆要建造一个长方体形游泳池,其容积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c0d8d16dc41fb86b72be181bd2b4f3.png)
,深为3m.如果建造池底的单价是建造池壁单价的
倍,怎样设计水池能使总造价最低?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c0d8d16dc41fb86b72be181bd2b4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eab9bcb68861b73f12a65eb9e94700d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8f58755aee89fb2cf72ba518dcee2a.png)
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解题方法
2 . 求下列函数的最值:
(1)
,
;
(2)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/332333ec1f16fd5e668cf9fb7f92a988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e0aa31faf2fc3ece4a1867707ef1ec.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b858b9a9cba6ca196e4d81d7a23a61b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
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解题方法
3 . 求下列函数的单调区间和极值点:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/253d579525525119d76f78155fb15b69.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00e1380bcd05423810e001600df5edb.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ccdd7af3a6ddf2c0f5c53d3872b768.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a92b4fb147acc9023bbd8c54b39db7f4.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e70495f1523e60f89a6dc68806a5bc3.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/718450c5bf116e2740e952316bca9c5b.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc9d4dce392682d8c947fb38fc035bf.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c793183ec51b2304e5f3eb0e422a15.png)
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4 . 求下列函数在给定位置的切线的斜率:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2f46c63ded04bfe8143bd4c6bb8c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69714c5da433710cdafda0db613e432a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ec0c2374dda725f0b1460524a9f01a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ca86638587effbd5089433e8484ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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5 . 求下列函数的导数:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
;
(9)
;
(10)
;
(11)
;
(12)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725ac5cbba8498e7d939fb9e90140d05.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99477c201a94b3eede68bc027c2ea0bb.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad51bf238351cd0995e46b3a85a9f5f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16273518298cb161e599f79f87a793e.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1720eb9e60517d349eed8900b7fc9b2.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799369e35afe0c33bc50757492fad345.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceefe7736537bf5d5079b710bd4d71ab.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0362e49b1224993bf2a06831ad27f6c0.png)
(9)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a7f9cecdb3e239e25057aa6ef52bd7.png)
(10)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325f9e2f7784ebdd64292e805884dfa9.png)
(11)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb49db9b8fd9c3f83ee89b32011c24e4.png)
(12)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d843610a4da2c04912e2bd69ddc68153.png)
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6 . 在等比数列
中,填写下表.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
题号 | ||||
(1) | 3 | |||
(2) | 4 | |||
(3) | 4 | 4 | 256 | |
(4) | 3 | 5 | 48 | |
(5) | 3 | 2 | 24 |
您最近一年使用:0次
2023-10-11更新
|
21次组卷
|
2卷引用:北师大版(2019)选择性必修第二册课本习题第一章3.1 等比数列的概念及其通项公式
解题方法
7 . 某工厂2016年产值为200万元,计划从2017年开始,每年的产值比上一年增长20%.问至少从哪年开始,该厂的年产值可超过1200万元?
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8 . 一个各项均为正数的等比数列,其每一项都等于它后面的相邻两项之和,则公比
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0d99fef1aa4dbcc6dc7b30b7d2c9a9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 用数学归纳法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dc4c84b0e18b2da77fea013ab52d1d.png)
您最近一年使用:0次
2023-10-11更新
|
331次组卷
|
5卷引用:北师大版(2019)选择性必修第二册课本习题第一章复习题
北师大版(2019)选择性必修第二册课本习题第一章复习题(已下线)4.4 数学归纳法(6大题型)-【题型分类归纳】2023-2024学年高二数学同步讲与练(苏教版2019选择性必修第一册)(已下线)1.5 数学归纳法7种常见考法归类(2)(已下线)5.5 数学归纳法(2知识点+6题型+强化训练)-【帮课堂】2023-2024学年高二数学同步学与练(人教B版2019选择性必修第三册)(已下线)4.4 数学归纳法(6大题型)精讲-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)
10 . 证明:凸n边形的内角和等于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6ba23d46922173a1b058cae843f12a.png)
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