新高考數(shù)學(xué)一輪復(fù)習(xí)8.8 對(duì)數(shù)運(yùn)算及對(duì)數(shù)函數(shù)（精練）（基礎(chǔ)版）（原卷版）

8.8對(duì)數(shù)運(yùn)算及對(duì)數(shù)函數(shù)（精練）（基礎(chǔ)版）題組一題組一對(duì)數(shù)的運(yùn)算1．（2022鎮(zhèn)江月考）計(jì)算：（1）SKIPIF1<0.（2）已知SKIPIF1<0，SKIPIF1<0，求實(shí)數(shù)SKIPIF1<0的值.2．（2022上海月考）已知SKIPIF1<0，求SKIPIF1<0的值.3（2022蓮湖期中）（1）計(jì)算SKIPIF1<0；（2）若SKIPIF1<0，求SKIPIF1<0的值．4．（2021海安月考）計(jì)算：（1）SKIPIF1<0；（2）SKIPIF1<0．5．（2022高一上·中山月考）求值或化簡(jiǎn)：（1）SKIPIF1<0；（2）SKIPIF1<0.（3）SKIPIF1<0.（4）SKIPIF1<0（5）SKIPIF1<0.（6）SKIPIF1<0.題組二題組二對(duì)數(shù)函數(shù)的三要素1．（2022·重慶模擬）函數(shù)SKIPIF1<0定義域?yàn)椋ǎ〢．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<02．（2022·東莞月考）函數(shù)SKIPIF1<0的定義域?yàn)椋ǎ〢．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<03．（2022河南）函數(shù)f(x)＝SKIPIF1<0的定義域?yàn)椋ǎ〢．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<04．（2022開(kāi)封期中）已知函數(shù)SKIPIF1<0且SKIPIF1<0在區(qū)間SKIPIF1<0上的最大值與最小值的差為1，則實(shí)數(shù)SKIPIF1<0的值為（）A．2 B．4 C．SKIPIF1<0或4 D．SKIPIF1<0或25．（2022浦城）已知函數(shù)y＝log2(x2－2kx＋k)的值域?yàn)镽，則k的取值范圍是()A．0＜k＜1 B．0≤k＜1 C．k≤0或k≥1 D．k＝0或k≥1題組三題組三對(duì)數(shù)函數(shù)的性質(zhì)1．（2022高三上·西寧期末）已知SKIPIF1<0（SKIPIF1<0且SKIPIF1<0）恒過(guò)定點(diǎn)SKIPIF1<0，且點(diǎn)SKIPIF1<0在直線(xiàn)SKIPIF1<0（SKIPIF1<0，SKIPIF1<0）上，則SKIPIF1<0的最小值為（）A．SKIPIF1<0 B．8 C．SKIPIF1<0 D．42．（2020·新課標(biāo)Ⅱ·理）設(shè)函數(shù)SKIPIF1<0，則f(x)（）A．是偶函數(shù)，且在SKIPIF1<0單調(diào)遞增B．是奇函數(shù)，且在SKIPIF1<0單調(diào)遞減C．是偶函數(shù)，且在SKIPIF1<0單調(diào)遞增D．是奇函數(shù)，且在SKIPIF1<0單調(diào)遞減3（2022集寧月考）函數(shù)y=logSKIPIF1<0（5+4x-x2）的單調(diào)遞增區(qū)間為()A．(2,5) B．(-1,2) C．(-∞,2) D．(2,+∞)4．（2022長(zhǎng)治期中）函數(shù)SKIPIF1<0的增區(qū)間為（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<05（2022廣東）．已知SKIPIF1<0是(?∞，＋∞)上的減函數(shù)，那么a的取值范圍是（）A．(0,1) B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<06．（2022九江開(kāi)學(xué)考）函數(shù)y=SKIPIF1<0sin（SKIPIF1<0﹣2x）的一個(gè)單調(diào)遞減區(qū)間是（）A．SKIPIF1<0 B．SKIPIF1<0C．SKIPIF1<0 D．SKIPIF1<07．（2022紹興）若函數(shù)f（x）=loga（2x2+x）（a＞0，a≠1）在區(qū)間（0，SKIPIF1<0）內(nèi)恒有f（x）＞0，則f（x）的單調(diào)遞增區(qū)間是（）A．（﹣∞，﹣SKIPIF1<0） B．SKIPIF1<0C．SKIPIF1<0 D．（0，+∞）8．（2022連城期中）函數(shù)f（x）=x3+bx2+cx+d圖象如圖，則函數(shù)SKIPIF1<0的單調(diào)遞減區(qū)間為（）A．（﹣∞，﹣2） B．[3，+∞）C．[﹣2，3] D．[SKIPIF1<0）9．（2022重慶）已知y=loga（2﹣ax）是[0，1]上的減函數(shù)，則a的取值范圍為（）A．（0，1） B．（1，2） C．（0，2） D．（2，+∞）10（2022保定期末）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<011．（2022咸寧期末）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<012．（2022湖北期末）已知SKIPIF1<0，SKIPIF1<0，SKIPIF1<0，則（）A．SKIPIF1<0 B．SKIPIF1<0 C．SKIPIF1<0 D．SKIPIF1<013．（2022南充期末）函數(shù)SKIPIF1<0的圖象恒過(guò)一定點(diǎn)是．14．（2022河南月考）已知函數(shù)SKIPIF1<0，則關(guān)于x的不等式SKIPIF1<0的解集為.題組四題組四反函數(shù)及其應(yīng)用1．（2022昭陽(yáng)期末）若函數(shù)SKIPIF1<0的圖象與函數(shù)SKIPIF1<0的圖象關(guān)于直線(xiàn)SKIPIF1<0對(duì)稱(chēng)，則SKIPIF1<0（）A．10 B．-1 C．2 D．-22．（2022虹口期末）若函數(shù)SKIPIF1<0的反函數(shù)為SKIPIF1<0，則關(guān)于x的不等式SKIPIF1<0的解集為．3．（2022湖南）設(shè)SKIPIF1<0為定義在SKIPIF1<0上的奇函數(shù)，SKIPIF1<0與SKIPIF1<0關(guān)于直線(xiàn)SKIPIF1<0對(duì)稱(chēng)，若當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則SKIPIF1<0.4．（202