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wwwvn445544com:2014-2015学年贵州省安顺市西秀区旧州中学高一(上)期中数学试卷解析版

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2014-2015 学年贵州省安顺市西秀区旧州中学高一(上)期中数 学试卷 一、单选题(本大题共 12 小题;每小题 5 分,共 60 分. ) 1. (5.00 分)设集合 A={x∈Q|x>﹣1},则( A.2?A B.2∈A C. D. ?A ) ) 2. (5.00 分)集合 M={0,1,2}的真子集个数是( A.4 B.6 C.7 D.8 3. (5.00 分)设 U={不大于 10 的正整数},A={10 以内的质数},B={1,3,5,7, 9},则?UA∩?UB 是( A.{2,4,6,8,9} D.{4,6,8,10} 4. (5.00 分)已知函数 f(x)=x+2,x∈(1,2],则 f(x)的值域为( A. (2,4] B. (3,4] C. (3,5] D. (2,5] 5. (5.00 分)已知 f(x)=x2+1,则 f[f(﹣1)]的值等于( A.2 B.3 C.4 D.5 ) ) ) ) B.{2,4,6,8,9,10} C . {1 , 2 , 6 , 8 , 9 , 10} 6. (5.00 分)指数函数 y=ax 的图象经过点(2,16)则 a 的值是( A. B. C.2 D.4 7. (5.00 分)下列函数中既是奇函数又在定义域上为增函数的是( A.f(x)=3x+1 B.f(x)= C.f(x)=1﹣ D.f(x)=x3 ) 8. (5.00 分)函数 f(x)的定义域为 R+,若 f(x+y)=f(x)+f(y) ,f(8)=3, 则 f(2)=( A. B. ) C. D. 9. (5.00 分)若函数 y=(a﹣1)x 在(﹣∞,+∞)上为减函数,则实数 a 满足 ( ) B.1<a<2 C.1<a< D.0<a<2 ) A.a<1 10. (5.00 分)若 100a=5,10b=2,则 2a+b=( A.0 B.1 C.2 D.3 11. (5.00 分)已知 ab>0,下面四个等式中: ①lg(ab)=lga+lgb ②lg =lga﹣lgb ③ lg( )2=lg ④lg(ab)= 则正确命题的个数为( A.0 B.1 C.2 ) D.3 12. (5.00 分)图中曲线分别表示 y=logax,y=logbx,y=logcx,y=logdx 的图象,a, b,c,d 的关系是( ) A.0<a<b<1<d<c B.0<b<a<1<c<d C.0<d<c<1<a<b D.0< c<d<1<a<b 二、填空题(本大题共 4 小题,每小题 5 分,共 20 分) 13. (5.00 分)函数 y= + 的定义域是 . . . 14. (5.00 分)方程 4x+1﹣4=0 的解是 x= 15. (5.00 分)已知 log2(9m﹣2)>0,则 m 的取值范围是 16. (5.00 分)若 xlog25=1,求 5x+5﹣x= . 三.解答题(70 分) 17. (14.00 分)计算下列各式 (Ⅰ)lg24﹣(lg3+lg4)+lg5 (Ⅱ) . 18. (14.00 分)已知集合 A={x|2≤x<8},集合 B={x|3x+1>10} (1)求 A∩B; (2)求?R(A∪B) 19. (14.00 分)如果 a1﹣2x>ax+7(a>0,且 a≠1) ,求 x 的取值范围. 20. (14.00 分)已知 (1)求 m 的值; (2)判断 f(x)的奇偶性. 21. (14.00 分)已知函数 f(x)是偶函数,而且在(0,+∞)上是减函数,判断 f(x)在(﹣∞,0)上是增函数还是减函数,并证明. 2014-2015 学年贵州省安顺市西秀区旧州中学高一(上) 期中数学试卷 参考答案与试题解析 一、单选题(本大题共 12 小题;每小题 5 分,共 60 分. ) 1. (5.00 分)设集合 A={x∈Q|x>﹣1},则( A.2?A B.2∈A C. D. ?A ) 【解答】解:因为集合 A={x∈Q|x>﹣1}, 所以 2∈A, 故选:B. 2. (5.00 分)集合 M={0,1,2}的真子集个数是( A.4 B.6 C.7 D.8 ) 【解答】解:集合 M={0,1,2}的真子集个数: 23﹣1=7. 故选:C. 3. (5.00 分)设 U={不大于 10 的正整数},A={10 以内的质数},B={1,3,5,7, 9},则?UA∩?UB 是( A.{2,4,6,8,9} D.{4,6,8,10} 【解答】解:∵U={不大于 10 的正整数}={1,2,3,4,5,6,7,8,9,10}, A={10 以内的质数}={2,3,5,7},B={1,3,5,7,9},∴?UA∩?UB={1,4,6, 8,9,10}∩{2,4,6,8,10}={4,6,8,10}, 故选:D. ) B.{2,4,6,8,9,10} C . {1 , 2 , 6 , 8 , 9 , 10} 4. (5.00 分)已知函数 f(x)=x+2,x∈(1,2],则 f(x)的值域为( A. (2,4] B. (3,4] C. (3,5] D. (2,5] 【解答】解:函数 f(x)=y=x+2 是增函数, ) ∵x∈(1,2], ∴y∈(3,4]. ∴f(x)的值域为(3,4]. 故选:B. 5. (5.00 分)已知 f(x)=x2+1,则 f[f(﹣1)]的值等于( A.2 B.3 C.4 D.5 ) 【解答】解:∵f(x)=x2+1,∴f(﹣1)=(﹣1)2+1=2,∴f[f(﹣1)]=f(2) =22+1=5. 故选:D. 6. (5.00 分)指数函数 y=ax 的图象经过点(2,16)则 a 的值是( A. B. C.2 D.4 ) 【解答】解:设指数函数为 y=ax(a>0 且 a≠1) 将 (2,16)代入得 16=a2 解得 a=4 所以 y=4x 故选:D.

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