1 . 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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2 . 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 |
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3 . 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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4 . 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)
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解题方法
5 . 已知函数
的定义域为
,且
在区间
上是增函数,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8efdc4104984ebe14b8693dc74fc59a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
6 . 求函数
的单调区间与值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec83d74888e772b8c3b7f9de785ea9b.png)
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解题方法
7 . 设
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0be4f3b9452bffe47327426a9e18021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1a4f3d0f4f608ea4e8481843d19429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.![]() | B.![]() | C.![]() ![]() | D.不存在 |
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名校
解题方法
8 . 设函数
与
的定义域是
,函数
是一个偶函数,
是一个奇函数,且
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a60d1e86ded997b1f23df33af1d2596d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c43e4f6a45431637fd0a713efba89b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-12-03更新
|
183次组卷
|
2卷引用:河南省济源市高级中学2023-2024学年高一上学期10月月考数学试题
名校
解题方法
9 . 已知集合
.若
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/491ee178f6f55e451d11c224ada44a0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808b11702a4e8eb1c249dce2446b42f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() |
您最近一年使用:0次
2023-12-03更新
|
267次组卷
|
2卷引用:河南省济源市高级中学2023-2024学年高一上学期10月月考数学试题
10 . 若函数
且
的图象过第一、三、四象限,则参数
需满足( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c450d2fadaf1ebb676f8af801f0540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次