第一篇：[名校聯(lián)盟]山西省朔州市平魯區(qū)李林中學(xué)高三理科數(shù)學(xué)《編號(hào)28函數(shù)模型及其應(yīng)用小卷(三) 》小練習(xí)

一、選擇題

1．某公司在甲、乙兩地銷售一種品牌車，利潤(rùn)(單位：萬(wàn)元)分別為L(zhǎng)1＝5.06x－0.15x2和L2＝2x，其中x為銷售量(單位：輛)．若該公司在這兩地共銷售15輛車，則能獲得最大利潤(rùn)為

（）A．45.606萬(wàn)元

B．45.6萬(wàn)元 C．45.56萬(wàn)元

D．45.51萬(wàn)元

2．汽車經(jīng)過(guò)啟動(dòng)、加速行駛、勻速行駛、減速行駛之后停車，若把這一過(guò)程中汽車的行駛路程s看作時(shí)間t的函數(shù)，其圖像可能是

()

3．某廠有許多形狀為直角梯形的鐵皮邊角料，如圖，為降低消耗，開(kāi)源節(jié)流，現(xiàn)要從這些邊角料上截取矩形鐵片(如圖中陰影部分)備用，當(dāng)截取的矩形面積最大時(shí)，矩形兩邊長(zhǎng)x、y應(yīng)為（）A．x＝15，y＝12

B．x＝12，y＝15 C．x＝14，y＝10

D．x＝10，y＝14

二、填空題

4．如圖，書的一頁(yè)的面積為600 cm2，設(shè)計(jì)要求書面上方空出2 cm 的邊，下、左、右方都空出1 cm的邊，為使中間文字部分的面積 最大，這頁(yè)書的長(zhǎng)、寬應(yīng)分別為_(kāi)___________．

15．由于電子技術(shù)的飛速發(fā)展，計(jì)算機(jī)的成本不斷降低，若每隔5年計(jì)算機(jī)的價(jià)格降低，3則現(xiàn)在價(jià)格為8 100元的計(jì)算機(jī)經(jīng)過(guò)15年的價(jià)格應(yīng)降為_(kāi)_______元．

6．某商人購(gòu)貨，進(jìn)價(jià)已按原價(jià)a扣去25%.他希望對(duì)貨物訂一新價(jià)，以便按新價(jià)讓利20%銷售后仍可獲得售價(jià)25%的利潤(rùn)，則此商人經(jīng)營(yíng)這種貨物的件數(shù)x與按新價(jià)讓利總額y之間的函數(shù)關(guān)系式為_(kāi)_____________

三、解答題

7．如圖所示，將一矩形花壇ABCD擴(kuò)建成一個(gè)更大的矩形花壇AMPN，要求B點(diǎn)在AM上，D點(diǎn)在AN上，且對(duì)角線MN過(guò)C點(diǎn)，已知AB＝ 3米，AD＝2米．

(1)要使矩形AMPN的面積大于32平方米，則DN的長(zhǎng)應(yīng)在什么范圍內(nèi)？(2)當(dāng)DN的長(zhǎng)為多少時(shí)，矩形花壇AMPN的面積最?。坎⑶蟪鲎钚≈担?/p>

8．(2011·湖北)提高過(guò)江大橋的車輛通行能力可改善整個(gè)城市的交通狀況．在一般情況下，大橋上的車流速度v(單位：千米/時(shí))是車流密度x(單位：輛/千米)的函數(shù)．當(dāng)橋上的車流密度達(dá)到200輛/千米時(shí)，造成堵塞，此時(shí)車流速度為0；當(dāng)車流密度不超過(guò)20輛/千米時(shí)，車流速度為60千米/時(shí)．研究表明：當(dāng)20≤x≤200時(shí)，車流速度v是車流密度x的一次函數(shù)．(1)當(dāng)0≤x≤200時(shí)，求函數(shù)v(x)的表達(dá)式；(2)當(dāng)車流密度x為多大時(shí)，車流量(單位時(shí)間內(nèi)通過(guò)橋上某觀測(cè)點(diǎn)的車輛數(shù)，單位：輛/時(shí))f(x)＝x·v(x)可以達(dá)到最大，并求出最大值．(精確到1輛/時(shí))

第二篇：山西省朔州市平魯區(qū)李林中學(xué)高考英語(yǔ)綜合考查小卷子12

山西省朔州市平魯區(qū)李林中學(xué)高考英語(yǔ)綜合考查小卷子12

本試題共2頁(yè)滿分55分考試時(shí)間 40分鐘

試題共2頁(yè)滿分30分時(shí)間：30分鐘班級(jí)：_____ 姓名：______成績(jī)：______

（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（候選人）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（類別）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（反饋）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（欺負(fù)）their teachers.“Teachers must also learn to live with criticism,” he added.But still, the website is not totally prevented from being manipulated（人為操縱）, 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