一些高一数学的对数填空题，有兴趣的来！
\u9ad8\u4e00\u6570\u5b66\u5bf9\u6570\u9898\uff0c\u6c42\u89e3\uff0c\u6700\u597d\u6709\u8be6\u7ec6\u8fc7\u7a0b\uff0c\u8c22\u8c22\uff08\u7167\u7247\u4e2d\u7684\u9009\u62e9\u9898\u548c\u586b\u7a7a\u9898\uff09\u8bbe\u81f3\u5c11\u8981\u628ax\u5757\u8fd9\u6837\u7684\u73bb\u7483\u677f\u91cd\u53e0\u8d77\u6765(x\u2208Z)
\u7531\u9898\u610f:
(1-1/10)^x<1/3
\u22340.9^x<1/3
\u22350<0.9<1
\u2234log0.9(x)\u662f\u51cf\u51fd\u6570
\u4e24\u8fb9\u540c\u65f6\u53d6\u4ee50.9\u4e3a\u5e95\u7684\u5bf9\u6570
\u2234x>log0.9(1/3)
=lg(1/3)/lg0.9
=-lg3/(lg9+lg0.1)
=-lg3/(2lg3-1)
\u2235lg3\u22480.4771
\u2234x>10.5
\u2235x\u2208Z
\u2234x(min)=11
\u2234\u81f3\u5c11\u8981\u628a11\u5757\u8fd9\u6837\u7684\u73bb\u7483\u677f\u91cd\u53e0\u8d77\u6765\uff0c\u624d\u80fd\u4f7f\u901a\u8fc7\u5b83\u4eec\u7684\u5149\u7ebf\u5f3a\u5ea6\u5728\u613f\u5f3a\u5ea6\u76841/3\u4ee5\u4e0b
=[27^(1/3)]^2
=3^2
=9
②1000^(1/3)
=(10^3)^(1/3)
=10^(3*1/3)
=10
2.化简 [a^(9/2)*√(a^-3)]的立方根÷√[a^(-7)的立方根*a^13的立方根]
=[a^(9/2)*a^(-3/2)]^(1/3)÷[a^(-7/3)*a^(13/3)]^(1/2)
=(a^3)^(1/3)÷(a^2)^(1/2)
=a÷a
=1
3.概念
对数:_______若a^k=b,则称k为以a为底b的对数_________
常用对数:_________以10为底数的对数___________
自然对数:________以e为底数的对数____________
4.对数与指数间的关系:_______互为逆运算___________
5.判断:x=10g 2 (-2) ( 错 )
x=10g 2 0 ( 错 )
6.10g a a=_______1_______ 10g a 1_____0_______
1.①3^2=9 ②10
2.a^(-3/4)
3.书上有
4.反函数
5.x=log 2 (-2)x=10g 2 0 ( )
无意义
6.1 0
绛旓細3.姒傚康 瀵规暟:___鑻^k=b,鍒欑Оk涓轰互a涓哄簳b鐨勫鏁___甯哥敤瀵规暟:___浠10涓哄簳鏁扮殑瀵规暟___鑷劧瀵规暟:___浠涓哄簳鏁扮殑瀵规暟___4.瀵规暟涓庢寚鏁伴棿鐨勫叧绯:___浜掍负閫嗚繍绠梍__5.鍒ゆ柇:x=10g 2 (-2) ( 閿 )x=10g 2 0 ( 閿 )6.10g a a=___1___ 10g a 1___0___...
绛旓細瑙佸浘
绛旓細5,(2a+b)/(1-a)6,A 7,A
绛旓細a^logb(x-3)<1,鍖栧悓搴曞緱鍒癮^logb(x-3)<a^0 鍙0<a<1 鎵浠ogb(x-3)>0, 鍐嶅寲鍚屽簳寰 logb(x-3)>logb1锛堝嵆b涓哄簳1鐨瀵规暟锛夊張0<b<1 鎵浠0<x-3<1 鎵浠3<x<4 杩欎釜涓瀹氭槸瀵圭殑锛屾垜鏄珮涓鏁板鑰佸笀銆傞鐩緢濂藉仛灏辨槸鏁板绗﹀彿涓嶅ソ鎵擄紝瀵规暟鐨勫簳鍜岀湡鏁伴毦鍖哄垎寮銆
绛旓細瑙ｏ細鍥犱负log4^3脳log3^4=1锛屾晠锛1/log4^3= log3^4 鏁咃細a=1/log4^3 +1/log7^3= log3^4+ log3^7= log3^28 鍥犱负3=log3^27锛渓og3^28锛渓og3^81=4 鏁咃細a鍦ㄥ尯闂(3,4)
绛旓細=1/4+3/4+0 =1 2锛2^(-6)=1/64 瀵规暟寮忥細log2 [2^(-6)]=log2(1/64)鍗筹細log2 (1/64)=-6 log2(8)=3锛屾寚鏁板紡锛2^3=8 3锛墄>0锛宖(x)=2x+3 f(8)=2脳8+3=19 4锛墆=log3(4-x)婊¤冻鐪熸暟澶т簬0 4-x>0 x<4 瀹氫箟鍩熶负锛-鈭烇紝4锛5锛墆=0.5^x鍦≧涓婃槸鍗曡皟閫掑噺...
绛旓細100*(3/2)^x鈮10^10 涓よ竟姹瀵规暟 x鈮8/lg1.5鈮45.4 x鍙栨暣鏁46灏忔椂銆
绛旓細x^2+6x+5>0 x<1鎴杧>5 x+7>0 x>-7 寰-7<x<1鎴杧>5
绛旓細=lg(25*4)=lg100 =2.(lg2)^2+lg2lg5+lg50 =(lg2)^2+lg2lg5+lg5+lg10 =(lg2)^2+lg2lg5+lg5+1.=lg2*(lg2+lg5)+lg5+1 =lg2+lg5+1 =lg(2*5)+1 =2.lg(5^2)+2/3lg8+lg5lg20+(lg2)^2 =2lg5+2lg2+lg5lg20+(lg2)^2 =2(lg5+lg2)+lg5*(lg5+lg4)+(...
绛旓細鎵浠 f(8) =(-8)^(2/3)=4^3=64 14. 鏈瀵规暟瀹氫箟鐭ワ細1/2x-1>0鎭掓垚绔嬶紝浠ゅ嚱鏁皍=1/2x-1,鍑芥暟u鍦ㄤ笂鎭掑锛屽張f锛坲锛夊湪鍏跺畾涔夊煙涓婃亽澧烇紝瀹氫箟鍩熶负锛歺>2 鎵浠ヨ鍑芥暟鐨勫崟璋冮掑鍖洪棿涓簕x|x>2} 15. 鏈夐鎰忓緱a=1.灏嗗嚱鏁版崲鍨嬪悗寰 b/2a-2=1;- (b^2-4ac)/4a^2+3=1 瑙ｅ緱 ...
