全國體育單招專題復習：指數(shù)對數(shù)的運算含答案

1、、選擇題2.3.4.全國體育單招專題復習指數(shù)對數(shù)的運算1計算(J2)22的值為A.拒 B. 近C.D.卜列各個表達式中，正確的個數(shù)是(tan60(A) 1.3)0 1(B) 2以下化簡結(jié)果正確的是 log 2(8 log 2 8 log 2 K2) 喻8log 2 82)( 8)A、以下化簡結(jié)果錯誤的是-1- 10g102100 log 318 log 3 2A、二、填空題5、化簡 2 3 3156、化簡1x2 11x2 17.若64x3 m2(C) 310g 2 21og2 4 110g 2( 2) 10g 2(B、 log 33 36 1213x2x=(f)2(D)223n3 log 2(

2、8 2)8)log 2 8log 2 2皿"log2 8 log 2 2 2log 2 2D、全正確()1 loga2 loga 2 0(a 3)_ ,1 10g10 一4B、logio 25C、41V，若 2x,則x=3 222 2log510 log5 0.25 2D、全錯z 12.解萬程 10gl (x3x 15X3右(5)(2)8.化簡 1 1g 0,0011g2 1 41g 3 4 1g 6 1g 0.02 =3二、計算題1g51g 20 (1g2)29.化簡 21g 5 21g 8310.化簡 log2 5+log4 0.2 log5 2+log250.511.若 10g

3、 4 27 m, 10g 3 25 n ,請用 m, n 表示 1g2。x 2) 1og1 (x 1) 1參考答案、選擇題i.C.、填空題2.A3.C4. A5、66、 x-i7.8.6。三、計算題(0.027)9.化簡(i0)0(i)2 3i *63 i(30.75)解：原式=i0 “36 3 不3363910.化簡:2a3a b-ii3 3 a b2b12 a3 -1 a32b3b3解：原式i(a b)(a3ib3) (ab3)(a3 b3)(aa3b3 b3)i(a3i i(a b)(a3 b3)i 2 i ib3)(a3 a3?i i(a3 b3)(a b)2b')i i(a3

4、 b3)i2b3(a b)i i(a3 b3)2ii.化間1g 521g 8 1g 51g 20 (1g 2) 3解：原式_ 2_ 221g5 21g 21g 5(1g 4 5) (1g 2)2(1g5 1g 2)1g 5(21g 21g 5) (1g 2)_2_ 22 21g 51g 2 (1g 5)(1g 2)_22 (1g 2 1g 5)3 i2. 1og2 5+1og4 0.2 1og5 2+1og250.5log 4 5 log 25 2lg5 lg2lg4 lg 25lg5 lg22g2而1413 .若 log 4 27 m, log3 25 n ,請用 m, n 表示 lg2。解：顯然 m 3|g3-L(i),n2g5-L (2)；2lg 2lg3(1) (2)得 mn3lg5lg23(1 lg2)lg2解之得lg 2 omn 3214 .解萬程 10gl (X22解：logi (x x 2)2X 2) log(x 1) 1210g/