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《金版新学案》数学人教A版必修一教学训练(学生版)1.3.2.1

一、选择题(每小题 5 分,共 20 分) 1.函数 f(x)=|x|+1 是( ) A.奇函数 C.既是奇函数又是偶函数 2.函数 f(x)=x2 + x的奇偶性为( A.奇函数 C.既是奇函数又是偶函数 3.如图 B.偶函数 D.非奇非偶函数 ) B.偶函数 D.非奇非偶函数 [来源:学科网 ZXXK] 是一个由集合 A 到集合 B 的映射,这个映射表示 的是( ) A.奇函数而非偶函数 B.偶函数而非奇函数 C.奇函数且偶函数 D.既不是奇函数也不是偶函数 4.对于定义域为 R 的奇函数 f(x),下列结论成立的是( ) A.f(x)-f(-x)>0 B.f(x)-f(- x)≤0 C.f(x)· f(-x)≤0 D.f(x)· f(-x )>0 二、填空题(每小题 5 分 ,共 10 分) 5.已知函数 y=f(x)为奇函数,若 f(3)-f( 2)=1,则 f(-2)-f(-3)=________. ?x+1??x+a? 6.设函数 f(x)= 为奇函数,则 a=________. x 三、解答题(每小题 10 分,共 20 分) 7.判断下列函数的 奇偶性. [来源:学+科+网] (1)f(x)= 2x-1+ 1-2x; (2)f(x)=x2+ |x+a|+1. ?x3-3x2+1 ? 8. 判断函数 f(x) =? 3 2 ?x +3x -1 ? [来源:Z#xx#k.Com] ?x>0? ?x<0? 的奇偶性 ? 尖子生题库 ?☆☆☆ 9.(10 分)已知 f(x)是定义在 R 上的不恒为 0 的函数,且对于任意的 x,y∈R,有 f(x· y)=x f(y) +yf(x). (1)求 f(0),f(1)的值; (2)判断函数 f(x)的奇偶 性,并证明你的结论. [来源:学§科§网 Z§X§X§K] [来源:Z,xx,k.Com] 亲爱的同学: 经过一番刻苦学习,大家一定跃跃欲试地 展 示了一下自己的身手吧!那今天就来小试牛刀 吧!注意哦:在答卷的过程中一要认真仔细 哦!不交头接耳,不东张西望!不紧张!养成 良好的答题习惯也要取得好成绩的关键! 祝取得好成绩!一次比一次有进步!

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