1 . 设函数
的定义域为R,且
,
,当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b3b657ebd1733b4f19dcbec44919924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5364cd27f975b4728a70169af9a61a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8baf73d15ca9ca9c5ea66e366a5969.png)
A.![]() | B.![]() |
C.![]() | D.函数![]() |
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2 . 随着全民健身运动的开展,人们的健身需求更加多样化和个性化.某健身机构趁机推出线上服务,健身教练开通直播,线上具有获客、运营、传播等便利,线下具有器械、场景丰富等优势,成功吸引新会员留住老会员.据机构统计,当直播间吸引粉丝量不低于2万人时,其线下销售健身卡的利润y(单位:万元)随粉丝量x(单位:万人)的变化情况如下表所示.根据表中数据,我们用函数模型
进行拟合,建立y关于x的函数解析式.请你按此模型估测,当直播间的粉丝量为17万人时,线下销售健身卡的利润大约为______ 万元.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850988de8cabc553d5846637b3a1e230.png)
x(万人) | 3 | 5 | 9 |
y(万元) | ![]() | ![]() | ![]() |
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3 . 下列各式中:①
;②
;③
;④
;⑤
;⑥
.正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ed28220bfef1cc6be1c80cf67cafc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf82d0306f6f5ce7b8aa3c8b4059e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34254ce6896f7978064e7dc9ec24795b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da954355d63f080eb03ba2e01bbc8686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58251bbbd245148d5547335a9dd1165c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f8c87a3551ac86161f4a79de8df0e4.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
4 . 记无理数
小数点后第
位上的数字是
,则
是
的函数,记作
,定义域为
,值域为
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0af7c67e39fd9f6f88a36beb917170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3897bf276a0b6c2121917d39b369df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知
,函数
,
.
(1)若
,
,求
;
(2)若
,
,求m;
(3)若
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8913c4863ff7e4060e075f79f9e2a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2476c6a7b73d4d8ad99ffaca4afb76d1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73b85378c1f65d0ca0e4c30a14ccee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302b4d220b829aeede0b874ac26c35f7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a83eb8584e1ab069a24ea3911778c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb00c0bbee9e93f495c57a6805b447f5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51d3fb60fdba2bc8bd0811fcabfa3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82f4ce319a1e1ff7137e0267201ea27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e067be545a0178382625422a2e67621d.png)
您最近一年使用:0次
6 . 已知集合
,则集合
为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dbc88e35d235cc7ab63a2db319a016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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7 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baf265a52eb4c986b21c3de882e0dfb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a0370e40974988b66efe8fe43791f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5baf265a52eb4c986b21c3de882e0dfb.png)
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8 . 化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233e133006841de0560357a89cc5b5e9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/233e133006841de0560357a89cc5b5e9.png)
您最近一年使用:0次
9 . 下列各式成立的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8fee82f00e76897c3a1f1c2f5c02a1.png)
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8fee82f00e76897c3a1f1c2f5c02a1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c15e6964d720412e802c26eb05c1ae4.png)
您最近一年使用:0次