高一指數(shù)函數(shù)與對(duì)數(shù)函數(shù)經(jīng)典基礎(chǔ)練習(xí)題-

1、指數(shù)函數(shù)與對(duì)數(shù)函數(shù)指數(shù)函數(shù)與對(duì)數(shù)函數(shù)一.【復(fù)習(xí)目標(biāo)】1.掌握指數(shù)函數(shù)與對(duì)數(shù)函數(shù)的函數(shù)性質(zhì)及圖象特征.2.加深對(duì)圖象法，比較法等一些常規(guī)方法的理解.3.體會(huì)分類討論，數(shù)形結(jié)合等數(shù)學(xué)思想.二、【課前熱身】1.設(shè)，則()5.1348.029.012184??????????yyyA.BCD213yyy??312yyy??321yyy??231yyy??2.函數(shù)的單調(diào)遞增區(qū)間為())10(|log|)(???aaxxfa且ABCD??a0???

2、?0??10????13.若函數(shù)的圖象可由函數(shù)的圖象繞坐標(biāo)原點(diǎn)O逆時(shí)針旋轉(zhuǎn)得到，)(xf??1lg??xy2?()?)(xfABCD110??x110?xx??101x101?4.若直線y=2a與函數(shù)的圖象有兩個(gè)公共點(diǎn)，則a的取值范圍）且10(|1|????aaayx是.5..函數(shù)的遞增區(qū)間是.)3(log32xxy??三.【例題探究】例1.設(shè)a0，是R上的偶函數(shù).xxeaaexf??)(（1）求a的值；（2）證明：在上是增函數(shù))(xf

3、????0例2.已知????)2(log2log)(22log)(222????????pxpxxgxxxf(1)求使同時(shí)有意義的實(shí)數(shù)x的取值范圍)()(xgxf(2)求的值域.)()()(xgxfxF??例3.已知函數(shù))1(12)(?????axxaxfx（1）證明：函數(shù)在上是增函數(shù)；)(xf?????1有意義，則；Mm?(2)當(dāng)時(shí)，求函數(shù)的最小值；Mm?)(xf(3)求證：對(duì)每一個(gè)，函數(shù)的最小值都不小于1.Mm?)(xf第3講指數(shù)函

4、數(shù)與對(duì)數(shù)函數(shù)一、[課前熱身]1.D2.D3.A4.5.210??a??10二、[例題探究]1.（1）解依題意，對(duì)一切有，即.Rx?)()(xfxf??xxxxaeaeeaae???1所以對(duì)一切成立，由此得到，011???????????????xxeeaaRx?01??aa即，，又因?yàn)閍0，所以a=112?a（2）證明設(shè)021xx??????????212112212121211111121xxxxxxxxxxxxxxeeeeeeeee

5、eexfxf????????????????????由得00.1221???xxxx011221????xxxxeee??????.0)(021上是增函數(shù)在即?????xfxfxf??pxgxfpxpxpxxxxx，的公共定義域?yàn)榕c故且又或由2)()(2200222022)1.(2??????????????????（2xp）?????????????????????????????????????22224222log2log)()(