北京市房山区2015-2016学年七年级数学下学期期中联考试题答案一、选择题(本题共30分,每小题3分)题号12345678910答案CAABCACBBD二、填空题(本题共18分,每小题3分)题号111213141516答案43,229x-1X+y=12(答案不唯一)3,-2m<8三、解答题(本题共22分,其中17~19题每小题4分,20~21每小题5分)17.解:由①得x=4-y③·····································1分把③带入②得y=3····························2分把y=3带入①得x=1···································3分所以原方程组的解是13xy···································4分18.解:由①×3得6x+9y=36③··························1分由②×2得6x+8y=34④·························2分由③-④得y=2···································3分把y=2带入①得x=3所以原方程组的解是32xy.···································4分19.解:由①得x≥-2………..1分由②得x<5………………..2分所以不等式组的解集是-2≤x<5………………………3分所以整数解是-2,-1,0,1,2,3,4…………….4分20.解:原式=x2+x-42–(x2-4)………………………..3分=x2+x-42–x2+4…………………………..4分=x–38……………………………..5分21.解:xxyxx2122=x2+2xy-(x2+2x+1)+2x……………………………...2分=x2+2xy-x2-2x–1+2x=2xy–1………………………………………………3分当251x,25y时原式=2×251×(-25)-1………………………………………..4分=-2………………………………………………………5分22.已知关于x、y的方程组22331xykxyk的解x、y值的和等于6,求k的值。解:方法一、-:x+y=2k–1………………………3分因为:x+y=6所以:2k–1=6………………………..5分K=27……………………………6分方法二、解方程组得:kykx123………..……………..3分因为:x+y=6所以:(3k–2)+(1–k)=6………..5分所以:K=27……………………………6分23.解:设0.8元的邮票买了x枚,2元的邮票买了y枚·····················1分根据题意得130.8220.xyxy,·························4分解得58xy………………………………………………………5分答:0.8元的邮票买了5枚,2元的邮票买了8枚····················6分24.解:设A、B两地相距xkm,乙每小时走ykm,则甲每小时走(y+2)km.·······················1分·········2(2)364(2··············)36114087yyxyyxxy解这根据题意,个方程组得得………………………………5分答:A、B两地相距108km·······················…6分25.解:设该校有宿舍x间,,根据题意,有下面不等式成立:0420818xx此不等式可化为下面不等式组:042081420818xxxx······················3分∴此不等式的解集为5