反函數(shù)基礎(chǔ)練習(xí)含答案

1、反函數(shù)基礎(chǔ)練習(xí)反函數(shù)基礎(chǔ)練習(xí)(一)選擇題1函數(shù)y＝－x2(x≤0)的反函數(shù)是[]Ay(x0)By(x0)Cy(x0)Dy|x|＝－≥＝≤＝－≤＝－xxx??2函數(shù)y＝－x(2＋x)(x≥0)的反函數(shù)的定義域是[]A[0，＋∞)B[－∞，1]C(0，1]D(－∞，0]3y1(x2)函數(shù)＝＋≥的反函數(shù)是x?2[]Ay＝2－(x－1)2(x≥2)By＝2＋(x－1)2(x≥2)Cy＝2－(x－1)2(x≥1)Dy＝2＋(x－1)2(x≥1)4

2、下列各組函數(shù)中互為反函數(shù)的是[]AyyxByy2＝和＝＝和＝xxx11Cyy(x1)Dyx(x1)y(x0)2＝和＝≠＝≥和＝≥3131311xxxxx????5如果y＝f(x)的反函數(shù)是y＝f1(x)，則下列命題中一定正確的是[]A若y＝f(x)在[1，2]上是增函數(shù)，則y＝f1(x)在[1，2]上也是增函數(shù)B若y＝f(x)是奇函數(shù)，則y＝f1(x)也是奇函數(shù)10yg(x)函數(shù)＝的反函數(shù)是，則13x[]Ag(2)＞g(－1)＞g(－3

3、)Bg(2)＞g(－3)＞g(－1)Cg(－1)＞g(－3)＞g(2)Dg(－3)＞g(－1)＞g(2)(二)填空題1y32y(x0)yf(x)yx函數(shù)＝＋的反函數(shù)是函數(shù)＝＞與函數(shù)＝的圖像關(guān)于直線＝對(duì)稱，xx??2121解f(x)＝________3如果一次函數(shù)y＝ax＋3與y＝4x－b的圖像關(guān)于直線y＝x對(duì)稱，那a＝________，b＝________4y(1x0)函數(shù)＝－＜＜的反函數(shù)是，反函數(shù)的定92?x義域是________5已