[名校联盟]山西省朔州市平鲁区李林中学高三理科数学《编号28函数模型及其应用小卷(三) 》小练习[五篇材料]

第一篇：[名校联盟]山西省朔州市平鲁区李林中学高三理科数学《编号28函数模型及其应用小卷(三) 》小练习

一、选择题

1．某公司在甲、乙两地销售一种品牌车，利润(单位：万元)分别为L1＝5.06x－0.15x2和L2＝2x，其中x为销售量(单位：辆)．若该公司在这两地共销售15辆车，则能获得最大利润为

（）A．45.606万元

B．45.6万元 C．45.56万元

D．45.51万元

2．汽车经过启动、加速行驶、匀速行驶、减速行驶之后停车，若把这一过程中汽车的行驶路程s看作时间t的函数，其图像可能是

()

3．某厂有许多形状为直角梯形的铁皮边角料，如图，为降低消耗，开源节流，现要从这些边角料上截取矩形铁片(如图中阴影部分)备用，当截取的矩形面积最大时，矩形两边长x、y应为（）A．x＝15，y＝12

B．x＝12，y＝15 C．x＝14，y＝10

D．x＝10，y＝14

二、填空题

4．如图，书的一页的面积为600 cm2，设计要求书面上方空出2 cm 的边，下、左、右方都空出1 cm的边，为使中间文字部分的面积 最大，这页书的长、宽应分别为____________．

15．由于电子技术的飞速发展，计算机的成本不断降低，若每隔5年计算机的价格降低，3则现在价格为8 100元的计算机经过15年的价格应降为________元．

6．某商人购货，进价已按原价a扣去25%.他希望对货物订一新价，以便按新价让利20%销售后仍可获得售价25%的利润，则此商人经营这种货物的件数x与按新价让利总额y之间的函数关系式为______________

三、解答题

7．如图所示，将一矩形花坛ABCD扩建成一个更大的矩形花坛AMPN，要求B点在AM上，D点在AN上，且对角线MN过C点，已知AB＝ 3米，AD＝2米．

(1)要使矩形AMPN的面积大于32平方米，则DN的长应在什么范围内？(2)当DN的长为多少时，矩形花坛AMPN的面积最小？并求出最小值．

8．(2011·湖北)提高过江大桥的车辆通行能力可改善整个城市的交通状况．在一般情况下，大桥上的车流速度v(单位：千米/时)是车流密度x(单位：辆/千米)的函数．当桥上的车流密度达到200辆/千米时，造成堵塞，此时车流速度为0；当车流密度不超过20辆/千米时，车流速度为60千米/时．研究表明：当20≤x≤200时，车流速度v是车流密度x的一次函数．(1)当0≤x≤200时，求函数v(x)的表达式；(2)当车流密度x为多大时，车流量(单位时间内通过桥上某观测点的车辆数，单位：辆/时)f(x)＝x·v(x)可以达到最大，并求出最大值．(精确到1辆/时)

第二篇：山西省朔州市平鲁区李林中学高考英语综合考查小卷子12

山西省朔州市平鲁区李林中学高考英语综合考查小卷子12

本试题共2页满分55分考试时间 40分钟

试题共2页满分30分时间：30分钟班级：_____ 姓名：______成绩：______

（1）Have you heard about Leap year? Leap year is a year that has 366 days instead of the usual 365.It normally occurs every four years, always on an even-numbered year.The extra day is added to our shortest month.That is the second month of the year, which in non-leap years has 28 days, two fewer than any other month.1

We also call Leap year the bissextile year.2In our calendar system there is a need for a leap year because the solar year（the time it takes the earth to go around the sun once）is actually slightly more than 365 days long.That extra day—Feb 29 every four years—helps correct the difference between our calendar and the solar calendar.It is said that Leap year was first made part of the calendar by the ancient Roman leader Julius Caesar.His astronomers had calculated the length of the solar year to be 365 days and six hours.So Caesar declared that an extra day be added to the calendar.3

However, Caesar’s adjustment was not completely accurate because his astronomers’ year exceeded the true solar year by eleven minutes and fourteen seconds.By 1582, a difference of ten days had developed between the calendar year and the true solar year.To correct this error, Pope Gregory XⅢ ruled that every fourth year would continue to be a leap year except for century years that could not be divided evenly by 400.By this system, century years such as 1700, 1800, and 1900 were not leap years, but the year 2000 was a leap year.4

People born on Feb 29 celebrate their growing up a little differently from the rest of us.5But if they go strictly by the calendar, they have only one-fourth as many birthday celebrations as most people.A.They acknowledge that they get older each year.B.When you see Feb 29 on a calendar, you know that year is a leap year.C.This is its formal, or scientific title.D.This may seem complicated, but it works.E.In a leap year, the extra day is added to the second month, giving it 29

instead of the usual 28 days

F.The leap year was introduced in the Julian calendar in 46 BC.G.This is done every four years.（2）In two thousand and eight, the main candidates（候选人）for president each used this expression:“1” This means that it is a waste of time to change something from ugly or unpleasantwild at any time because that means behaving badly.5___And a road hog is a driver who uses more than his share of the road.Such a driver increases dangers for other drivers.（3）There were times when it was only schoolchildren who felt sick before they got their grades.__1

Many teachers are opposed to it.They don’t mind being evaluated.But they are upset because the results are then being posted on the Internet and accessible to millions of Internet users.__2__The teachers are graded on categories（类别）such as “motivated”, “good instruction”, “easy examinations”, or even “sexy”.3

The creators of the website say that the students axe only being offered the chance to provide teachers with some feedback（反馈）about their classroom instruction.Bernd Dicks founded the website with three friends.4On a grading scale of one to six, the teachers’ average grade is as high as 2.7 and it has been improving lately.He often says the impression is that students are bullying（欺负）their teachers.“Teachers must also learn to live with criticism,” he added.But still, the website is not totally prevented from being manipulated（人为操纵）, as one teacher near the northern city of Hanover recently proved.5Within a few days, seven of his colleagues were listed in the top 10 rankings of Germany’s best teachers.A.On the website www.spickmich.De during the past four months students have

posted evaluations of 100,000 teachers.B.He registered himself on the website as a student and then rated his own

teaching colleagues highly.C.He tried to make friends with students as many as possible.D.But now teachers in Germany are scared, too, as they are being graded by their students.E.He says that the students are largely quite satisfied with their teachers.F.He says a majority of the students expressed their dissatisfaction with their teachers.G.Many teachers think that their privacy has been disturbed.小卷子答案：1 BCGDA2FDGAB3DAGEB