名校
1 . 某景区为提高经济效益,现对某一景点进行改造升级,从而扩大内需,提高旅游增加值,经过市场调查,旅游增加值
万元与投入
万元之间满足:
,
为常数.当
万元时,
万元;当
万元时,
万元.
(1)求
的解析式;
(2)求该景点改造升级后旅游利润
的最大值.
(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15f406db7522799eb44e09433fdcebf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632fff87a2151140c50b1ce480479ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ff06692c025b869a7bcdcff15dca9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf2b56c9782cbb4f1e0bae581a1d899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4d28914a446c56b457d80ddf9b3d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e87b3d60719bf221b7a91446411f22.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求该景点改造升级后旅游利润
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe70239f939f8b8630f8df31ed206852.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8f8d3d05cc8ec8771e19c950b503f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56cd9fd1bf71d7bb19b29d9d326b73a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11070394a6405a0d5c0ff585f72fb810.png)
您最近一年使用:0次
2020-04-11更新
|
504次组卷
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4卷引用:江苏省宿迁市沭阳县如东中学2020-2021学年高三上学期第一次月考数学试题
名校
2 . 设函数
,其中
.
(1)讨论
的单调性;
(2)若不等式
恒成立,求实数a的取值范围;
(3)求证:对于任意
,存在实数
,当
时,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebb3cd0bee6e5563e1f74efe13c5ed73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2fb5c70550cd1713f00f0c6036093c.png)
(3)求证:对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119c13383d9a3838ad3b6342ce720a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
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2020-03-26更新
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4卷引用:江苏省宿迁市沭阳县修远中学2019-2020学年高二(普通班)下学期4月月考数学试题
江苏省宿迁市沭阳县修远中学2019-2020学年高二(普通班)下学期4月月考数学试题江苏省泰州中学2018-2019学年高二下学期第二次月考数学(文)试题(已下线)一轮大题专练13—导数(任意、存在性问题1)-2022届高三数学一轮复习江苏省南京市秦淮中学2020-2021学年高二下学期第一次月考数学试题
名校
3 . 已知函数
.
(1)当
时,讨论
的单调性;
(2)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba5c494d16b48dc23d70f88311e1f02.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b06387179d53c1e474fcfcb408b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e97fe6b85433dc7d61a7b43bb7c3fee.png)
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3卷引用:江苏省宿迁市泗阳县众兴中学2020-2021学年高二下学期4月月考数学试题
4 . 已知函数
有三个零点(
是自然对数的底数),则实数
的取值范围是_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b88215b384a919cce019d259853eb87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
5 . 设函数
.
(1)若
,判断函数
是否存在极值,若存在,求出极值:若不存在,说明理由:
(2)若
在
上恒成立,求实数
的取值范围:
(3)若函数
存在两个极值点
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b4f673e1f28c02dc8cf6209ff59ab87.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3417699eb4a32521b7ff1f7b2a1d5f47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f7464e7559a63bba3915987982fa9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264b93aa6b21f14144bf1f77be3831e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ca13a93b5f401c0d39ba52b0cffcb0.png)
您最近一年使用:0次
名校
6 . 如图,某湿地公园的鸟瞰图是一个直角梯形,其中:
,
,
,
长1千米,
长
千米,公园内有一个形状是扇形的天然湖泊
,扇形
以
长为半径,弧
为湖岸,其余部分为滩地,B,D点是公园的进出口.公园管理方计划在进出口之间建造一条观光步行道:线段
线段
弧
,其中Q在线段
上(异于线段端点),
与弧
相切于P点(异于弧端点]根据市场行情
,
段的建造费用是每千米10万元,湖岸段弧
的建造费用是每千米
万元(步行道的宽度不计),设
为
弧度观光步行道的建造费用为
万元.
![](https://img.xkw.com/dksih/QBM/2020/2/26/2407391716786176/2409415550607360/STEM/7c677e0a6a5a47488812d448b51a9677.png?resizew=197)
(1)求步行道的建造费用
关于
的函数关系式,并求其走义域;
(2)当
为何值时,步行道的建造费用最低?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37591109b0a0ec5ffe2133f83310eca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ad9708fb35359a8c151703432df5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f332555e65843f32f4c623098c6adc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f332555e65843f32f4c623098c6adc72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4f74fb8a56cee4af845409e85e76834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca4d64c9406e52e3ce4e35044c3ae10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f6927cc2a930203ac34366383e76ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66780d058323c16b47ddcc117d8b3980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e2c17d4d575f9c14180c5648b0d6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://img.xkw.com/dksih/QBM/2020/2/26/2407391716786176/2409415550607360/STEM/7c677e0a6a5a47488812d448b51a9677.png?resizew=197)
(1)求步行道的建造费用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2020-02-29更新
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343次组卷
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5卷引用:江苏省宿迁市沭阳如东中学2019-2020学年高三上学期1月阶段考试数学试题
名校
解题方法
7 . 已知函数
,
,
.
(1)求函数
的单调增区间;
(2)令
,且函数
有三个彼此不相等的零点0,m,n,其中
.
①若
,求函数
在
处的切线方程;
②若对
,
恒成立,求实数t的去取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b8ab9893507bbf1b1a7a3e8d4e8e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2f7ccf8e26a19ae629d7ea9dfa9c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826aae0515c5a5584833d2433ede1da3.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b954687ac9d5009ca87a2eaecda8e99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f84b6b7b19cc4c7bcb4944372711d7.png)
②若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db96eed74522824b03c208595073212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78f2a451d8d6ff60c504e4123fa2484b.png)
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2020-02-29更新
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4卷引用:江苏省宿迁市沭阳如东中学2019-2020学年高三上学期1月阶段考试数学试题
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8 . 某种圆柱形的如罐的容积为
个立方单位,当它的底面半径和高的比值为______ .时,可使得所用材料最省.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fa93a019b854f078700ffe541d40e2.png)
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3卷引用:江苏省宿迁市沭阳如东中学2019-2020学年高三上学期1月阶段考试数学试题
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9 . 若函数
与
满足:存在实数
,使得
,则称函数
为
的“友导”函数.已知函数
为函数
的“友导”函数,则
的取值范围是_________ .
![](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/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37090112aa052a7eaa19ac2e5a4809b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1f3055e2e6d3aa90d2f770019f8399.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b3705bb5874ee063ae21e56895c802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-01-08更新
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5卷引用:江苏省宿迁市沭阳县修远中学2020-2021学年高二下学期第一次联考数学试题
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解题方法
10 . 某艺术品公司欲生产一款迎新春工艺礼品,该礼品是由玻璃球面和该球的内接圆锥组成,圆锥的侧面用于艺术装饰,如图1.为了便于设计,可将该礼品看成是由圆O及其内接等腰三角形
绕底边
上的高所在直线
旋转
而成,如图2.已知圆O的半径为
,设
,
,圆锥的侧面积为
(S圆锥的侧面积
(R-底面圆半径,I-母线长))
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/1fc81d48-056c-4015-8d11-6a641e8b86bf.png?resizew=346)
(1)求S关于
的函数关系式;
(2)为了达到最佳观赏效果,要求圆锥的侧面积S最大.求S取得最大值时腰
的长度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588688304039065c026f2e12bd81b680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45c89d1cb5a4f758539bdda2e31fa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ecfda698212594a342565257dc5508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/502b677a7a718fcc663557b0da7dd11c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/1fc81d48-056c-4015-8d11-6a641e8b86bf.png?resizew=346)
(1)求S关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)为了达到最佳观赏效果,要求圆锥的侧面积S最大.求S取得最大值时腰
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2020-03-26更新
|
1038次组卷
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9卷引用:江苏省宿迁市2018届高三上学期第一次模拟考试数学试题
江苏省宿迁市2018届高三上学期第一次模拟考试数学试题江苏省淮安市等四市2018届高三上学期第一次模拟数学试题江苏省徐州市2018届高三第一次质量检测数学试题(已下线)2018年高考数学备考中等生百日捷进提升系列(综合提升篇) 专题04 立体几何解答题(文)江苏省泰州中学2018-2019学年高二下学期第二次月考数学(文)试题2018届江苏省盐城中学高三下学期四模数学试题河南省南阳市2019-2020学年高二下学期期中质量评估数学(理)试题(已下线)【新教材精创】11.1.7综合复习习题课(第1课时)练习(1)北京市西城区第五十六中学2022届高三数学零模试题