新高考數(shù)學(xué)一輪復(fù)習(xí) 函數(shù)專項(xiàng)重難點(diǎn)突破專題04 函數(shù)的解析式(原卷版)

專題04函數(shù)的解析式考點(diǎn)一待定系數(shù)法一、單選題1．已知冪函數(shù)f(x)＝xα(α為常數(shù))的圖象經(jīng)過點(diǎn)SKIPIF1<0，則f(9)＝（

）A．SKIPIF1<0B．SKIPIF1<0C．3 D．SKIPIF1<02．若二次函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的表達(dá)式為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．二次函數(shù)SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0的最大值是8，此二次函數(shù)的解析式為SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0二、多選題4．設(shè)SKIPIF1<0都是定義域?yàn)镾KIPIF1<0的單調(diào)函數(shù)，且對(duì)于任意SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0三、填空題5．已知一次函數(shù)f（x）滿足f（f（x））＝3x+2，則f（x）的解析式為_________6．SKIPIF1<0恒過定點(diǎn)P，P在冪函數(shù)SKIPIF1<0圖象上，SKIPIF1<0______．四、雙空題7．已知函數(shù)SKIPIF1<0對(duì)任意SKIPIF1<0滿足：SKIPIF1<0，二次函數(shù)SKIPIF1<0滿足：SKIPIF1<0且SKIPIF1<0．則SKIPIF1<0___________，SKIPIF1<0___________.考點(diǎn)二換元法一、單選題1．已知SKIPIF1<0，則SKIPIF1<0的解析式為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．若函數(shù)SKIPIF1<0是SKIPIF1<0上的單調(diào)函數(shù)，且對(duì)任意實(shí)數(shù)SKIPIF1<0，都有SKIPIF1<0，則SKIPIF1<0（

）A．1 B．SKIPIF1<0 C．SKIPIF1<0 D．03．已知SKIPIF1<0，若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．1 C．1或SKIPIF1<0 D．1或SKIPIF1<04．已知函數(shù)SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．設(shè)SKIPIF1<0是定義域?yàn)镽的單調(diào)函數(shù)，且SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．已知定義在SKIPIF1<0上的函數(shù)SKIPIF1<0單調(diào)遞增，且對(duì)任意SKIPIF1<0恒有SKIPIF1<0，則函數(shù)SKIPIF1<0的零點(diǎn)為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．2 D．4二、填空題7．已知SKIPIF1<0，則SKIPIF1<0的解析式為______．8．已知SKIPIF1<0，則SKIPIF1<0______．考點(diǎn)三配湊法一、單選題1．已知SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的解析式為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．若SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．已知SKIPIF1<0，則SKIPIF1<0的解析式為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<05．若函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0的最小值為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、多選題6．已知SKIPIF1<0且SKIPIF1<0，則實(shí)數(shù)a的值為（

）A．SKIPIF1<0 B．0 C．1 D．2三、填空題7．若SKIPIF1<0，則SKIPIF1<0______.考點(diǎn)四構(gòu)造方程組法一、單選題1．已知函數(shù)SKIPIF1<0的定義域?yàn)镽，對(duì)任意SKIPIF1<0均滿足：SKIPIF1<0則函數(shù)SKIPIF1<0解析式為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．1 C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，且滿足SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．若函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的最大值為（

）A．0 B．1 C．2 D．35．若定義在SKIPIF1<0上的函數(shù)SKIPIF1<0滿足：當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空題6．若對(duì)于任意實(shí)數(shù)x都有SKIPIF1<0，則f（x）＝_________7．已知對(duì)任意的實(shí)數(shù)a均有SKIPIF1<0成立，則函數(shù)SKIPIF1<0的解析式為________．考點(diǎn)五利用奇偶性一、單選題1．已知SKIPIF1<0為偶函數(shù)，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．已知SKIPIF1<0是定義在R上的奇函數(shù)，當(dāng)SKIPIF1<0時(shí)SKIPIF1<0則SKIPIF1<0在R上的表達(dá)式是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．已知函數(shù)SKIPIF1<0是奇函數(shù)，SKIPIF1<0是偶函數(shù)，且SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0二、填空題4．已知函數(shù)SKIPIF1<0的圖象關(guān)于原點(diǎn)對(duì)稱，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則SKIPIF1<0在SKIPIF1<0處的切線方程為______．5．已知奇函數(shù)SKIPIF1<0則SKIPIF1<0__________．6．若定義在R上的偶函數(shù)SKIPIF1<0和奇函數(shù)SKIPIF1<0滿足SKIP