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中...cm.長(zhǎng)為1cm的線(xiàn)段在的邊上沿方向以1cm/s的速度向點(diǎn)運(yùn)動(dòng)(運(yùn)動(dòng)前點(diǎn)與點(diǎn)重合).過(guò)分別作的垂線(xiàn)交直角邊于兩點(diǎn).線(xiàn)段運(yùn)動(dòng)的時(shí)間為s. (1)若的面積為.寫(xiě)出與的函數(shù)關(guān)系式(寫(xiě)出自變量的取值范圍), (2)線(xiàn)段運(yùn)動(dòng)過(guò)程中.四邊形有可能成為矩形嗎?若有可能.求出此時(shí)的值,若不可能.說(shuō)明理由, (3)為何值時(shí).以為頂點(diǎn)的三角形與相似? 解:(1)當(dāng)點(diǎn)在上時(shí)... .········································································ 2分 當(dāng)點(diǎn)在上時(shí).. .·················································· 4分 (2)... .········································································ 6分 由條件知.若四邊形為矩形.需.即. . 當(dāng)s時(shí).四邊形為矩形.································································· 8分 知.當(dāng)s時(shí).四邊形為矩形.此時(shí). .··························································································· 9分 除此之外.當(dāng)時(shí)..此時(shí). ...····························· 10分 .. 又..········································ 11分 .. 當(dāng)s或s時(shí).以為頂點(diǎn)的三角形與相似.··················· 12分 查看更多

 

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(2011山東濟(jì)寧,18,6分)觀察下面的變形規(guī)律:
 =1-;;……
解答下面的問(wèn)題:
(1)若n為正整數(shù),請(qǐng)你猜想                 ;
(2)證明你猜想的結(jié)論;
(3)求和:+…+ .

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((2011山東濟(jì)寧,16,5分)計(jì)算:

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 (2011山東濟(jì)寧,21,8分)某市在道路改造過(guò)程中,需要鋪設(shè)一條長(zhǎng)為1000米的管道,決定由甲、乙兩個(gè)工程隊(duì)來(lái)完成這一工程.已知甲工程隊(duì)比乙工程隊(duì)每天能多鋪設(shè)20米,且甲工程隊(duì)鋪設(shè)350米所用的天數(shù)與乙工程隊(duì)鋪設(shè)250米所用的天數(shù)相同.

(1)甲、乙工程隊(duì)每天各能鋪設(shè)多少米?

(2)如果要求完成該項(xiàng)工程的工期不超過(guò)10天,那么為兩工程隊(duì)分配工程量(以百米為單位)的方案有幾種?請(qǐng)你幫助設(shè)計(jì)出來(lái).

 

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(2011山東濟(jì)寧,4,3分)下列各式計(jì)算正確的是

A.     B.    C.    D.

 

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(2011山東濟(jì)寧,2,3分)下列等式成立的是

A.a(chǎn)2+a2=a5     B.a(chǎn)2-a2=a      C.a(chǎn)2a2=a 6    D.(a2)3=a6

 

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