1 . 已知函数
.
(1)求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1793714c11f9f8c3753dff40f1d70f4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064f92266f1588277b65d822dd5385d9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7a129587e063a30e6d6449637f2b19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca3b5f44d4f2b4a8d3cab19b89aefd9.png)
(1)判断并证明函数的奇偶性;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca3b5f44d4f2b4a8d3cab19b89aefd9.png)
(1)判断并证明函数的奇偶性;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc42e2400d75a452775395a6f663df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 浦东某购物中心开业便吸引了市民纷纷来打卡(观光或消费),某校数学建模社团根据调查发现:该购物中心开业10天(含10天)内,每天打卡人数
与第
天近似地满足函数
(万人),k为正常数,且第8天的打卡人数为9万人.
(1)求k的值;
(2)求第10天的打卡人数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826308511448f7b791edf4199c690768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8626e1fdaf7d39de5ea1301275afd17.png)
(1)求k的值;
(2)求第10天的打卡人数
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解题方法
4 . 已知函数
.
(1)求函数的定义域;
(2)试判断函数在
上的单调性,并给予证明;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3cac51dd02874e8c19c2e081d1d80f.png)
(1)求函数的定义域;
(2)试判断函数在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd531902180b2316d92936e1d1c5219d.png)
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5 . 已知
,
.
(1)判断函数
的奇偶性,并用定义证明;
(2)当
时,判断函数
在区间
上的单调性,并用定义证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f7f23e7f20dd8bc65a4967cd306782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325cd3e57465c5cc93f068c94c2b8f7f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5042a85ef71355436da60c45ceadfbbc.png)
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解题方法
6 . 已知幂函数
经过![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9275848b5c91230c249a45f1bfc05.png)
(1)试求函数
的解析式;
(2)写出函数的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a9275848b5c91230c249a45f1bfc05.png)
(1)试求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)写出函数的单调区间.
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解题方法
7 . 判断下列函数是否具有奇偶性:
(1)
;
(2)
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2281cef5dc7e70f301b2c128f2f4c7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5ab1f6923041b7f9a4e7bb641ead4e.png)
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解题方法
8 . 指出下列函数的单调区间(定义法证明):
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03668d59496334542569ad1f8879cc0.png)
(2)
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03668d59496334542569ad1f8879cc0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f777b75eb3f0ade83a0f8c88f1ea6637.png)
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解题方法
9 . 已知函数
,满足
.
(1)求实数
的值;
(2)求当
时,
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ff6d3f9f2822df2e2afdd90a0e5867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2635c6e599f816c706e471a3c197d5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32a859898e9905e0524d3a982eb34b6.png)
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10 . 求下列函数的函数值:
(1)已知
,求
;
的值;
(2)已知
,求
.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13ad969f17e82d622b31897b503423c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32a859898e9905e0524d3a982eb34b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c81c23dbf35114ab8ce088a96deec5.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f3476324a7e6c8ce2571029eb6a91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fef7672c5d8d64d61cecb70bcf615e0.png)
您最近一年使用:0次