已知函数
.
求(1)
;
(2)若
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142d1ed785904af5ea7e0ba1c8ae3a78.png)
求(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a8fdec794c99790c86988c6fe71b7a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ff9ca56355a6e830e21e0e9def545e.png)
更新时间:2020-05-30 07:25:18
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解答题-问答题
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解题方法
【推荐1】已知某船舶每小时航行所需费用u(单位:元)与航行速度
(单位:千米/时)的函数关系为
(其中a,b,k为常数),函数
的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/660ea5f5-2db6-46f5-8d1a-a487c2651161.png?resizew=161)
(1)求
的解析式;
(2)若该船舶需匀速航行20千米,问船舶的航行速度v为多少时,航行所需费用最少.最少的费用为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599552f725eb7acd2030623569ac42ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db5c978a02b52e54feb3533cbe01c58.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/660ea5f5-2db6-46f5-8d1a-a487c2651161.png?resizew=161)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db5c978a02b52e54feb3533cbe01c58.png)
(2)若该船舶需匀速航行20千米,问船舶的航行速度v为多少时,航行所需费用最少.最少的费用为多少?
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解答题-作图题
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适中
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【推荐2】已知函数
,
,
.
![](https://img.xkw.com/dksih/QBM/2022/1/9/2867880225972224/2892841369731072/STEM/b832d09c-605d-48a4-a271-ee5e7b9e79a8.png?resizew=155)
![](https://img.xkw.com/dksih/QBM/2022/1/9/2867880225972224/2892841369731072/STEM/f77cd0ce-27c1-4666-b20e-4ebaf31e5633.png?resizew=154)
(1)在图1中画出函数
,
的图象;
(2)定义:
,用
表示
,
中的较小者,记为
,请分别用图象法和解析式法表示函数
.(注:图象法请在图2中表示,本题中的单位长度请自己定义且标明)
(3)写出函数
的单调区间和函数的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4cf498ba2567f964247137477d0ea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab35b554b72ea94c27c6bea4600554f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://img.xkw.com/dksih/QBM/2022/1/9/2867880225972224/2892841369731072/STEM/b832d09c-605d-48a4-a271-ee5e7b9e79a8.png?resizew=155)
![](https://img.xkw.com/dksih/QBM/2022/1/9/2867880225972224/2892841369731072/STEM/f77cd0ce-27c1-4666-b20e-4ebaf31e5633.png?resizew=154)
(1)在图1中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
(2)定义:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355aff360b365e8ac73f8cf0943c8031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7f5414a3f7ae588b5d9daabe8c0e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355aff360b365e8ac73f8cf0943c8031.png)
(3)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355aff360b365e8ac73f8cf0943c8031.png)
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【推荐3】某牛奶店每天以每盒
元的价格从牛奶厂购进若干盒鲜牛奶,然后以每盒
元的价格出售,如果当天卖不完,剩下的牛奶作为垃圾回收处理.
(1)若牛奶店一天购进
盒鲜牛奶,求当天的利润
(单位:元)关于当天需求量
(单位:盒,
)的函数解析式;
(2)牛奶店老板记录了某
天鲜牛奶的日需求量(单位:盒),整理得下表:
以这
天记录的各需求量的频率作为各需求量发生的概率.
①若牛奶店一天购进
盒鲜牛奶,
表示当天的利润(单位:元),求
的分布列及均值;
②若牛奶店计划一天购进
盒或
盒鲜牛奶,从统计学角度分析,你认为应购进
盒还是
盒?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
(1)若牛奶店一天购进
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
(2)牛奶店老板记录了某
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
日需求量 | |||||||
频数 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0efba7147f5b9ced8bc4a72f0a9fb8af.png)
①若牛奶店一天购进
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
②若牛奶店计划一天购进
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e595b1cc755cf0dd076e91cf9e9a3e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e595b1cc755cf0dd076e91cf9e9a3e5a.png)
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适中
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解题方法
【推荐1】目前各地已经陆续开展供暖工作,供暖缴费方式有两种,一种是按照流量计费,另一种是按照面积计费.现一小组随机抽查某小区一单元住户进行了解后发现,当住户中有
成员按照流量方式缴费时,人均缴费费用为
(单位:元),而按照面积方式缴费的人均缴费费用不受
的影响,为固定值2100元,请根据上述提供的信息解决下面问题:
(1)当
取得何值时,满足流量方式缴费的人均缴费费用等于按照面积方式缴费的人均缴费费用;
(2)已知该小区这一单元住户的人均缴费费用计算公式为
,讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8b14f79a6a77e646f2513b59f39234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19112523fc92df301042707778b78f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知该小区这一单元住户的人均缴费费用计算公式为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541551ec1e0109146dc5696b0d48da08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
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解答题-作图题
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【推荐2】已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/ef4742a8-4d98-4e39-8d29-6c50543f5b1d.png?resizew=201)
(1)当
时,求函数
在
的值域;
(2)当
时,记
在区间
得最小值为
.
①求
的表达式;
②在给出的坐标系中作出
的图象,并求满足
的实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bd5717f62b4fe9c5995a45ccd7a8d5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/25/ef4742a8-4d98-4e39-8d29-6c50543f5b1d.png?resizew=201)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
②在给出的坐标系中作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b35d2aa8af392c852eb9b1cb1732bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f649d57238f04a235e1fc90e3218f892.png)
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