新高考數(shù)學(xué)一輪復(fù)習(xí)精講精練8.2 解析式（基礎(chǔ)版）（原卷版）

8.2解析式（精講）（基礎(chǔ)版）思維導(dǎo)圖思維導(dǎo)圖考點(diǎn)呈現(xiàn)考點(diǎn)呈現(xiàn)例題剖析例題剖析考點(diǎn)一待定系數(shù)法求解析式【例1】（2022·全國·高三專題練習(xí)）（多選）已知函數(shù)SKIPIF1<0是一次函數(shù)，滿足SKIPIF1<0，則SKIPIF1<0的解析式可能為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·全國·高三專題練習(xí)）已知f(x)是一次函數(shù)，且滿足3f(x＋1)－2f(x－1)＝2x＋17，則f(1)＝____．2．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，且SKIPIF1<0為一次函數(shù)，求SKIPIF1<0_________3（2022·全國·高三專題練習(xí)）已知SKIPIF1<0是一次函數(shù)，且滿足SKIPIF1<0，求SKIPIF1<0_____．考點(diǎn)二換元法求解析式【例2】（2022·全國·高三專題練習(xí)）若SKIPIF1<0，則SKIPIF1<0的解析式為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·全國·高三專題練習(xí)）若函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0的解析式是（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0或SKIPIF1<0【一隅三反】1．（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，則SKIPIF1<0的解析式為_______2．（2022·全國·高三專題練習(xí)）若函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0__．3．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，則SKIPIF1<0的解析式為______________．4．（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0在定義域SKIPIF1<0上單調(diào)，且SKIPIF1<0時(shí)均有SKIPIF1<0，則SKIPIF1<0的值為（

）A．3 B．1 C．0 D．SKIPIF1<0考點(diǎn)三解方程組求解析式【例3】（2022·全國·高三專題練習(xí)）若函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0（

）A．0 B．2 C．3 D．SKIPIF1<0【一隅三反】1．（2022·浙江·高三專題練習(xí)）已知函數(shù)f(x)滿足SKIPIF1<0，則f(x)的解析式為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<02．（2022·全國·高三專題練習(xí)）已知定義域?yàn)镽的函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0___________.3（2022·全國·高三專題練習(xí)）若函數(shù)SKIPIF1<0，SKIPIF1<0滿足SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0________．4．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，則函數(shù)f(x)的解析式為___________.考點(diǎn)四配湊法【例4】（2022·全國·高三專題練習(xí)）已知函數(shù)f（x﹣1）＝x2+2x﹣3，則f（x）＝（）A．x2+4x B．x2+4 C．x2+4x﹣6 D．x2﹣4x﹣1【一隅三反】1．（2022·浙江·高三專題練習(xí)）已知SKIPIF1<0，則SKIPIF1<0_______．2．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，則SKIPIF1<0的值等于___.3．（2022·全國·高三專題練習(xí)）已知f(x－SKIPIF1<0)＝x2＋SKIPIF1<0，則f（x+SKIPIF1<0）＝________.8.2解析式（精練）（基礎(chǔ)版）題組一題組一待定系數(shù)法求解析式1．（2022·全國·高三專題練習(xí)）若SKIPIF1<0是SKIPIF1<0上單調(diào)遞減的一次函數(shù)，若SKIPIF1<0，則SKIPIF1<0__．2．（2022·全國·高一課時(shí)練習(xí)）已知SKIPIF1<0是一次函數(shù)，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03.．（2022·江蘇·）（1）已知SKIPIF1<0是一次函數(shù)，且SKIPIF1<0，求SKIPIF1<0；（2）已知SKIPIF1<0是二次函數(shù)，且滿足SKIPIF1<0，求SKIPIF1<0.4．（2022·云南）（1）已知f（x）是一次函數(shù)，且滿足f（x＋1）－2f（x－1）＝2x＋3，求f（x）的解析式．（2）若二次函數(shù)g（x）滿足g（1）＝1，g（－1）＝5，且圖象過原點(diǎn)，求g（x）的解析式．題組二題組二換元法求解析式1．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，且SKIPIF1<0，則SKIPIF1<0的值為_________．2．（2022·全國·高一專題練習(xí)）已知SKIPIF1<0，則有（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·全國·課時(shí)練習(xí)）已知SKIPIF1<0，則SKIPIF1<0（

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2023·全國·高三專題練習(xí)）已知SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·河南·臨潁縣第一高級(jí)中學(xué)高二階段練習(xí)（文））已知SKIPIF1<0，則SKIPIF1<0（

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2022·山西運(yùn)城·高二階段練習(xí)）已知函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0（

）A．1 B．9 C．SKIPIF1<0 D．SKIPIF1<07．（2023·全國·高三專題練習(xí)）設(shè)SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<08．（2022·江蘇）設(shè)函數(shù)SKIPIF1<0，則SKIPIF1<0的表達(dá)式為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<09．（2022·甘肅·甘南藏族自治州合作第一中學(xué)）已知f（SKIPIF1<0x-1）=2x-5，且f（a）=6，則a等于（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<010．（2022·陜西·略陽縣天津高級(jí)中學(xué)二模（理））若SKIPIF1<0，則SKIPIF1<0等于（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，求SKIPIF1<0的解析式．12．（2022·全國·課時(shí)練習(xí)）（多選）若函數(shù)SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<013（2022·黑龍江）若函數(shù)SKIPIF1<0，則SKIPIF1<0__________.題組三題組三解方程組求解析式1（2022·廣東）已知函數(shù)f(x)滿足f(x)＋2f(3－x)＝x2，則f(x)的解析式為（

）A．f(x)＝x2－12x＋18B．f(x)＝SKIPIF1<0－4x＋6C．f(x)＝6x＋9D．f(x)＝2x＋32．（2021·陜西安康）已知函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022·廣西）若函數(shù)SKIPIF1<0滿足SKIPIF1<0，則SKIPIF1<0（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2021·全國·課時(shí)練習(xí)）已知SKIPIF1<0，求SKIPIF1<0的解析式.5（2022廣西）若對(duì)任意實(shí)數(shù)SKIPIF1<0，均有SKIPIF1<0，求SKIPIF1<0=6．（2022·全國·高三專題練習(xí)）已知函數(shù)f