安徽省宿州市泗縣中學(xué)七年級（下）第一次月考試卷

1、2013-2014學(xué)年安徽省宿州市泗縣中學(xué)七年級（下）第一次月考試卷一、選擇題（每小題3分，共30分）1下列運(yùn)算正確的是（）aa2a3=a6b（x5）2=x7c（-3c）2=9c2d（a-2b）2=a2-2ab+4b2顯示解析2下列式子中，不成立的是（）a2x23x=6x3b（-6x4）（3x2）=-18x6c（2x+1）（2x-1）=2x2-1d(12ab2c3)214a2b4c6顯示解析3若a2b214，ab12，則a+b的值為（）a12b12c1d2顯示解析4計(jì)算：(19)201392014=（）a19b9c1d94027顯示解析5利用平方差公式計(jì)算20122-20132011的結(jié)果是（

2、）a-1b1c-2d2顯示解析6已知（x+a）（x+b）=x2-11x+18，則a+b的值是（）a-11b11c-18d18顯示解析7方程x（x-3）+2（x-3）=x2-8的解為（）ax=2bx=-2cx=4dx=-4顯示解析8將正方形的邊長由acm增加6cm，則正方形的面積增加了（）a36cm2b12acm2c（36+12a）cm2d以上都不對顯示解析9已知x+1x2，則下列等式成立的有（）x2+1x22；x4+1x42；x8+1x82；x1x0abcd顯示解析10如圖在邊長為a的正方形中挖掉一個(gè)邊長為b的小正方形（ab），把剩下的部分拼成一個(gè)矩形，通過計(jì)算兩處圖形的面積，驗(yàn)證了一個(gè)等式，

3、此等式是（）aa2-b2=（a+b）（a-b）b（a+b）2=a2+2ab+b2c（a-b）2=a2-2ab+b2d（a+2b）（a-b）=a2+ab+b2顯示解析二、填空題（每小題3分，共24分）11有一道計(jì)算題：（-a4）2，李老師發(fā)現(xiàn)全班有以下四種解法，（-a4）2=（-a4）（-a4）=a4a4=a8；（-a4）2=-a42=-a8；（-a4）2=（-a）42=（-a）8=a8；（-a4）2=（-1a4）2=（-1）2（a4）2=a8；你認(rèn)為其中完全正確的是（填序號）顯示解析12若（am+1bn+2）（a2n-1b2m）=a3b5，則m+n的值是顯示解析13如果單項(xiàng)式-4x2ay2與1

4、4x4y3a2b是同類項(xiàng)，則這兩個(gè)單項(xiàng)式的積為顯示解析14已知長方體長為4102毫米，寬為3102毫米，高為2102毫米，這個(gè)長方體的體積是立方毫米顯示解析15已知10m=2，10n=3，則103m+2n=顯示解析16若m+4n-2=0，則3m81n=顯示解析17已知2x+y=1，代數(shù)式（y+1）2-（y2-4x）的值為顯示解析18如圖所示，正方形abcd和正方形cefg的邊長分別為a、b，如果a+b=17，ab=60，那么陰影部分的面積是顯示解析三、解答題（共66分）19計(jì)算（1）（a-2）2+4（a-1）（2）（a+2）（a+2）-a（a+1）（3）（a-b-1）（a+b-1）（4）（x+

5、2y）2（x-2y）顯示解析20解下列方程（組）（x+3）2-2（x-3）（x+2）+（x-2）2=5顯示解析21化簡，求值（1）先化簡，再求值：（x+3）（x-3）-x（x-2），其中x=4；（2）先化簡，再求值：（2a-b）2-b2，其中a=2，b=3；（3）已知210=a2=4b，化簡(14a+15b)(14a15b)(14a+15b)2，并求值顯示解析22已知x3m=4，y3n=5，求：（x2m）3+（yn）3-x2mynx4my2n的值顯示解析23（1）多項(xiàng)式a2+b2-4a+6b+13=0，求a+b值（2）已知（x+y）2=25，（x-y）2=9，求xy與x2+y2的值顯示解析24

6、觀察下列等式：32-12=8=81；52-32=16=82；72-52=24=83；92-72=32=84這些等式反映了正整數(shù)的某種規(guī)律（1）設(shè)n為正整數(shù)，試用含m的式子，表示你發(fā)現(xiàn)的規(guī)律；（2）驗(yàn)證你發(fā)現(xiàn)規(guī)律的正確性，并用文字歸納出這個(gè)規(guī)律顯示解析25小明將一個(gè)底為正方形，高為m的無蓋盒子展開，如圖所示，測得其邊長為n，（1）請你計(jì)算無蓋紙盒的表面展開圖的面積s1（即圖中陰影部分的面積）（2）將陰影部分拼成一個(gè)長方形如圖所示，這個(gè)長方形的長和寬分別是多少？面積s2是多少？（3）比較（1）、（2）的結(jié)果，你得出什么結(jié)論？顯示解析26下列運(yùn)算正確的是（）a3x-2x=1b（-2a+1）2=4a2

7、+4a+1c（-a）2a3=a6d（-a2）3=-a6顯示解析27下列各式中，與（a-1）2相等的是（）aa2-1ba2-2a+1ca2-2a-1da2+1顯示解析28下列運(yùn)算正確的是（）ax3x4=x12b（-6x6）（-2x2）=3x3c2a-3a=-ad（x-2）2=x2-4顯示解析29計(jì)算（-x）2x3所得的結(jié)果是（）ax5b-x5cx6d-x6顯示解析30計(jì)算（ab2）3的結(jié)果是（）aab5bab6ca3b5da3b6顯示解析31下列式子中是完全平方式的是（）aa2+ab+b2ba2+2a+2ca2-2b+b2da2+2a+1顯示解析32下列各式計(jì)算正確的是（）a2a2+a3=3a5

8、b（3xy）2（xy）=3xyc（2b2）3=8b5d2x3x5=6x6顯示解析333(x3)2(y2)3(13xy)=顯示解析34若a2+a=0，則2a2+2a+2007的值為顯示解析35一個(gè)長方形的面積是（x2-9）平方米，其長為（x+3）米，用含有x的整式表示它的寬為米顯示解析36先化簡，再求值：（a+b）（a-b）+b（b-2），其中a=-1，b=1顯示解析37若a0且ax=2，ay=3，則ax-y的值為（）a-1b1c23d32顯示解析38已知x+y=-5，xy=6，則x2+y2的值是（）a1b13c17d25顯示解析39定義.abcd.=ad-bc，上述記號就叫做2階行列式若.x+

9、1x11xx+1.=6，x=顯示解析40計(jì)算：（-2a-2）3b22a-8b-3顯示解析41如圖，正方形卡片a類，b類和長方形卡片c類若干張，如果要拼一個(gè)長為（a+2b），寬為（a+b）的大長方形，則需要c類卡片張qcwa3ptgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50clmtwn60eo8wgqv7xav2ohum32wgeauwydiawgmer4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgz7r4i30ka1dkagtgkqcwa3p tgz7r4i30ka

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