新高考數(shù)學(xué)一輪復(fù)習(xí) 函數(shù)專項重難點突破專題14 函數(shù)的圖象(二)(原卷版)_第1頁
新高考數(shù)學(xué)一輪復(fù)習(xí) 函數(shù)專項重難點突破專題14 函數(shù)的圖象(二)(原卷版)_第2頁
新高考數(shù)學(xué)一輪復(fù)習(xí) 函數(shù)專項重難點突破專題14 函數(shù)的圖象(二)(原卷版)_第3頁
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專題14函數(shù)的圖象(二)考點一函數(shù)圖象的變換一、單選題1.為了得到函數(shù)SKIPIF1<0的圖象,只需把函數(shù)SKIPIF1<0的圖象上的所有點(

)A.向左平移2個單位長度,再向上平移2個單位長度B.向右平移2個單位長度,再向下平移2個單位長度C.向左平移1個單位長度,再向上平移1個單位長度D.向右平移1個單位長度,再向上平移1個單位長度2.要得到函數(shù)SKIPIF1<0的圖象,只需將指數(shù)函數(shù)SKIPIF1<0的圖象(

)A.向左平移1個單位 B.向右平移1個單位C.向左平移SKIPIF1<0個單位 D.向右平移SKIPIF1<0個單位3.為了得到SKIPIF1<0的圖象,只需將SKIPIF1<0的圖象(

)A.向右平移1個單位,再向下平移2個單位B.向右平移1個單位,再向上平移2個單位C.向左平移1個單位,再向上平移2個單位D.向左平移1個單位,再向下平移2個單位4.為了得到函數(shù)SKIPIF1<0的圖像,只需將函數(shù)SKIPIF1<0的圖像(

)A.向右平移3個單位,再向上平移2個單位B.向左平移3個單位,再向下平移2個單位C.向右平移3個單位,再向下平移2個單位D.向左平移3個單位,再向上平移2個單位5.要得到SKIPIF1<0的圖像,只要將SKIPIF1<0的圖像(

)A.向左平移SKIPIF1<0個單位 B.向右平移SKIPIF1<0個單位C.向左平移SKIPIF1<0個單位 D.向右平移SKIPIF1<0個單位6.把函數(shù)SKIPIF1<0圖象上所有點的橫坐標都伸長為原來的2倍,縱坐標不變,再把圖象向右平移2個單位長度,此時圖象對應(yīng)的函數(shù)為SKIPIF1<0,則SKIPIF1<0(

)A.SKIPIF1<0 B.SKIPIF1<0 C.0 D.SKIPIF1<07.已知函數(shù)SKIPIF1<0的圖象如下圖所示,則SKIPIF1<0的大致圖象是(

)A. B.C. D.8.若函數(shù)SKIPIF1<0的圖象向左平移一個單位長度,所的圖象與曲線SKIPIF1<0關(guān)于SKIPIF1<0軸對稱,則SKIPIF1<0(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0二、解答題9.利用函數(shù)SKIPIF1<0的圖象,作出下列各函數(shù)的圖象.(1)SKIPIF1<0;(2)SKIPIF1<0(3)SKIPIF1<0;(4)SKIPIF1<0;(5)SKIPIF1<0;(6)SKIPIF1<0.10.已知函數(shù)SKIPIF1<0定義在SKIPIF1<0上的圖象如圖所示,請分別畫出下列函數(shù)的圖象:

(1)SKIPIF1<0;(2)SKIPIF1<0;(3)SKIPIF1<0;(4)SKIPIF1<0;(5)SKIPIF1<0;(6)SKIPIF1<0.考點二利用函數(shù)圖象解決不等式問題一、單選題1.如圖為函數(shù)SKIPIF1<0和SKIPIF1<0的圖象,則不等式SKIPIF1<0的解集為()

A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.將SKIPIF1<0的圖象向右平移2個單位長度后得到函數(shù)SKIPIF1<0的圖象,則不等式SKIPIF1<0的解集是(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù),當(dāng)SKIPIF1<0時,SKIPIF1<0,則不等式SKIPIF1<0的解集是(

)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<04.已知函數(shù)SKIPIF1<0,SKIPIF1<0,則不等式SKIPIF1<0的解集為(

)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<05.已知函數(shù)SKIPIF1<0的定義域為R,SKIPIF1<0,且SKIPIF1<0在SKIPIF1<0上遞增,則SKIPIF1<0的解集為(

)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<06.已知函數(shù)SKIPIF1<0,則SKIPIF1<0的解集是(

)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0二、多選題7.設(shè)函數(shù)SKIPIF1<0的定義域為R,滿足SKIPIF1<0,且當(dāng)SKIPIF1<0時,SKIPIF1<0,若對任意SKIPIF1<0,都有SKIPIF1<0,則實數(shù)m的取值可以是(

)A.3 B.4 C.SKIPIF1<0 D.SKIPIF1<08.已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的偶函數(shù),當(dāng)SKIPIF1<0時,SKIPIF1<0的圖象如圖所示,則滿足不等式SKIPIF1<0的x可能是(

)A.SKIPIF1<0 B.0 C.1 D.29.定義在R上的函數(shù)SKIPIF1<0,滿足SKIPIF1<0,且當(dāng)SKIPIF1<0時,SKIPIF1<0,則使得SKIPIF1<0在SKIPIF1<0上恒成立的m可以是(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<010.函數(shù)SKIPIF1<0,SKIPIF1<0,其中SKIPIF1<0.記SKIPIF1<0,設(shè)SKIPIF1<0,若不等式SKIPIF1<0恒有解,則實數(shù)SKIPIF1<0的值可以是(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0三、填空題11.已知函數(shù)SKIPIF1<0,則不等式SKIPIF1<0的解集是______.12.不等式SKIPIF1<0的解集為________.13.定義在R上的函數(shù)SKIPIF1<0滿足SKIPIF1<0,且當(dāng)SKIPIF1<0時,SKIPIF1<0.若對任意SKIPIF1<0,都有SKIPIF1<0,則t的取值范圍是__________.14.已知函數(shù)SKIPIF1<0,若不等式SKIPIF1<0恒成立,則實數(shù)a的范圍是____________.四、解答題15.已知函數(shù)SKIPIF1<0,SKIPIF1<0.(1)在給出的坐標系中畫出函數(shù)SKIPIF1<0的圖像;(2)若關(guān)于SKIPIF1<0的不等式SKIPIF1<0恒成立,求實數(shù)SKIPIF1<0的取值范圍.16.已知函數(shù)SKIPIF1<0.(1)在坐標系中作出函數(shù)SKIPIF1<0的圖象;(2)若SKIPIF1<0,求實數(shù)SKIPIF1<0的取值范圍.考點三利用函數(shù)圖象解決方程的根與交點問題一、單選題1.方程SKIPIF1<0的解的個數(shù)是(

).A.0個 B.1個 C.2個 D.3個2.已知函數(shù)SKIPIF1<0,若函數(shù)SKIPIF1<0有兩個不同的零點,則實數(shù)SKIPIF1<0的取值范圍是(

)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<03.已知函數(shù)SKIPIF1<0,若方程SKIPIF1<0有四個不同的解SKIPIF1<0且SKIPIF1<0,則SKIPIF1<0的取值范圍是(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.函數(shù)SKIPIF1<0的圖象和函數(shù)SKIPIF1<0的圖象的交點的個數(shù)為(

)A.1 B.2 C.3 D.45.已知函數(shù)SKIPIF1<0,若實數(shù)SKIPIF1<0,則函數(shù)SKIPIF1<0的零點個數(shù)為(

)A.0或1 B.1或2 C.1或3 D.2或36.已知函數(shù)SKIPIF1<0,若關(guān)于SKIPIF1<0的方程SKIPIF1<0恰有5個不同的實根,則SKIPIF1<0的取值范圍為(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<07.已知函數(shù)SKIPIF1<0,若方程SKIPIF1<0有四個不同的實數(shù)根,則實數(shù)a的取值范圍是(

)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<08.已知函數(shù)SKIPIF1<0,若方程SKIPIF1<0有兩個實根,且兩實根之和小于0,則實數(shù)SKIPIF1<0的取值范圍是(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<09.函數(shù)SKIPIF1<0的圖像與函數(shù)SKIPIF1<0的圖像所有交點的橫坐標之和等于(

)A.8 B.10 C.12 D.1410.已知函數(shù)SKIPIF1<0,若函數(shù)SKIPIF1<0有6個不同的零點,且最小的零點為SKIPIF1<0,則SKIPIF1<0(

)A.6 B.SKIPIF1<0 C.2 D.SKIPIF1<0二、多選題11.關(guān)于x的方程SKIPIF1<0,給出下列四個判斷:其中正確的為(

)A.存在實數(shù)k,使得方程恰有4個不同的實根;B.存在實數(shù)k,使得方程恰有5個不同的實根;C.存在實數(shù)k,使得方程恰有6個不同的實根;D.存在實數(shù)k,使得方程恰有8個不同的實根;12.已知函數(shù)SKIPIF1<0,若方程SKIPIF1<0有四個不等實根SKIPIF1<0(SKIPIF1<0),則下列說法正確的是(

)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<0最小值為213.已知函數(shù)SKIPIF1<0,若關(guān)于SKIPIF1<0的方程SKIPIF1<0有兩解,則實數(shù)SKIPIF1<0的值可能為(

)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<014.已知函數(shù)SKIPIF1<0,若函數(shù)SKIPIF1<0恰好有4個不同的零點,則實數(shù)SKIPIF1<0的取值可以是(

)A.SKIPIF1<0 B.SKIPIF1<0 C.0 D.2三、填空題15.已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0,滿足SKIPIF1<0,當(dāng)SKIPIF1<0時,SKIPIF1<0,若方程SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)有實數(shù)解,則實數(shù)SKIPIF1<0的取值范圍為__________.16.已知SKIPIF1<0,若關(guān)于SKIPIF1

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