3.3指數(shù)運(yùn)算及指數(shù)函數(shù)（精講）（提升版）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)一指數(shù)運(yùn)算【例1-1】（2022·江西）化簡SKIPIF1<0___.【例1-2】（2022·江蘇）化簡：SKIPIF1<0________．【一隅三反】1．（2022·河南）SKIPIF1<0_____．2．（2022·全國·高三專題練習(xí)）SKIPIF1<0×SKIPIF1<00＋80.25×SKIPIF1<0＋(SKIPIF1<0×SKIPIF1<0)6－SKIPIF1<0=____________3．（2021·江蘇?。┮阎猄KIPIF1<0，則SKIPIF1<0的值為___________．考點(diǎn)二單調(diào)性【例2-1】（2021·安徽）函數(shù)SKIPIF1<0的單調(diào)遞增區(qū)間為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【例2-2】（2021·北京市）已知函數(shù)SKIPIF1<0|在區(qū)間SKIPIF1<0上是增函數(shù)，則實(shí)數(shù)SKIPIF1<0的取值范圍是_____.【例2-3】（2022·河南?。┮阎瘮?shù)SKIPIF1<0滿足對任意的實(shí)數(shù)SKIPIF1<0，且SKIPIF1<0，都有SKIPIF1<0成立，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·遼寧沈陽）已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0（

）A．是偶函數(shù)，且在SKIPIF1<0上單調(diào)遞增B．是奇函數(shù)，且在SKIPIF1<0上單調(diào)遞減C．是奇函數(shù)，且在SKIPIF1<0上單調(diào)遞增D．是偶函數(shù)，且在SKIPIF1<0上單調(diào)遞減2．（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0滿足對任意x1≠x2，都有(x1-x2)[f(x1)-f(x2)]<0成立，則a的取值范圍為（）A．SKIPIF1<0 B．(0，1) C．SKIPIF1<0 D．(0，3)3．（2022·上海奉賢區(qū)致遠(yuǎn)高級中學(xué)高三開學(xué)考試）函數(shù)SKIPIF1<0在SKIPIF1<0內(nèi)單調(diào)遞增，則實(shí)數(shù)SKIPIF1<0的取值范圍是__________.考點(diǎn)三最值（值域）【例3-1】（2022·北京·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，SKIPIF1<0，則函數(shù)SKIPIF1<0的值域?yàn)椋?/p>

）．A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【例3-2】（2022·北京）已知函數(shù)SKIPIF1<0的值域?yàn)镽，則實(shí)數(shù)a的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·寧夏）已知SKIPIF1<0的最小值為2，則SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·浙江·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，則函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的最小值的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2021·河南）若函數(shù)SKIPIF1<0的值域?yàn)镾KIPIF1<0，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<04．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0，則函數(shù)SKIPIF1<0的值域?yàn)椋?/p>

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05．（2022·河南焦作·二模（理））已知函數(shù)SKIPIF1<0為奇函數(shù)，且SKIPIF1<0的圖象和函數(shù)SKIPIF1<0的圖象交于不同的兩點(diǎn)A，B，若線段SKIPIF1<0的中點(diǎn)SKIPIF1<0在直線SKIPIF1<0上，則SKIPIF1<0的值域?yàn)椋?/p>

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)四指數(shù)式比較大小【例4-1】（2022·河南焦作）若SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，a，b，c的大小關(guān)系為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0【例4-2】（2022·江西·二模（理））設(shè)SKIPIF1<0，則(

)A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·河南洛陽）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0，SKIPIF1<0的大小關(guān)系為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·河南）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·江蘇蘇州）已知SKIPIF1<0，則SKIPIF1<0的大小關(guān)系為（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)五解不等式【例5-1】（2022·全國·高三專題練習(xí)）已知函數(shù)SKIPIF1<0，則不等式SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0【例5-2】（2022·浙江·舟山中學(xué)）已知函數(shù)SKIPIF1<0，若SKIPIF1<0都有SKIPIF1<0成立，則實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0或SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0或SKIPIF1<0 D．SKIPIF1<0【一隅三反】1．（2022·全國·高三專題練習(xí)）已知SKIPIF1<0（SKIPIF1<0為常數(shù)）為奇函數(shù)，則滿足SKIPIF1<0的實(shí)數(shù)SKIPIF1<0的取值范圍是（

）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2021·山東）已知函數(shù)SKIPIF1<0，若對任意的SKIPIF1<0，都有SKIPIF1<0恒成立，則實(shí)數(shù)SKIPIF1<0的取值范圍為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<03．（2022·全國·高三專題練習(xí)）設(shè)SKIPIF1<0，則SKIPIF1<0的解集為（

）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<0考點(diǎn)六定點(diǎn)【例6】（2022·新疆阿勒泰）函數(shù)SKIPIF1<0圖象過定點(diǎn)SKIPIF1<0，點(diǎn)SKIPIF1<0在直線SKIPIF1<0上，則SKIPIF1<0最小值為___________.【一隅三反】1．（2022·內(nèi)蒙古）函數(shù)SKIPIF1<0的圖象恒過定點(diǎn)SKIPIF1<0，若點(diǎn)SKIPIF1<0在直線SKIPIF1<0上，其中SKIPIF1<0