福建福清九级数学期末考试

福州市2016—2017学年第一学期九年级期末质量检查数学试卷参考答案及评分标准一、选择题(每小题4分,共40分)1.C2.A3.D4.B5.D6.D7.B8.A9.C10.A二、填空题(每小题4分,共24分)11.(0,1)12.3213.点P在⊙O上14.221(或10.5)15.216.m≥1三、解答题(满分86分)17.解:2221336xx,···················································································3分8)3(2x,······································································································4分223x,····································································································6分∴3221x,3222x.·············································································8分18.解: 141)1(2mx有两个不相等的实数根,∴141m>0.····································································································5分解得m>4.········································································································8分19.解:如图所示.··································································································3分由旋转得45CBE,BEBC1.······································································4分 △ABC中90C,CACB1,∴45CABCBA,21122AB.··························································6分∴CBECBA.∴A,B,E三点共线.··························································································7分∴21BEABAE.····················································································8分ABCDE20.解:(1)0(或1);·····························································································2分(2)列树状图如下:·····························5分由树状图可知,所有可能出现的结果共12种情况,并且每种情况出现的可能性相等.其中摸出两枚棋子的颜色相同(记为事件A)的结果有4种,即(黑1,黑2),(黑2,黑1),(白1,白2),(白2,白1).······································6分∴P(A)=124=31<21.(或证明31≠32也可以)····························································7分∴“摸出两枚棋子的颜色相同”与“摸出两枚棋子的颜色不同”的概率不相等...

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