1、 p f BQf vl1* 林婉仪 null 陈之兵 null (深圳大学师范学院数学系 null 广东深圳 null 518060) K1null f y = axBQf y = ax + b(a 0 Oa null 1)vl1 1oMnull T; f ;BQf null null null null nullms |null O171 u v2005 M1 p41 E 5: !x 1,5ex ex. s T ?,) 5: ( 1)x null 1 H, ex ex; ( 2)B,) f y = axBQf y = ax + b(a 0 Oa null 1)vl1. 51nullx nul
2、l 1 H, ex ex. null !f (x ) = ex - ex,5f (1) = 0, f null(x) = ex - e. 7f null(x) = 0,x = 1,V7x 1 H, f null(x ) 0, x 0,V7f (x) f (1) = 0,ex ex. ,x 0,V7f (x) f ( 1) = 0,ex ex. 52nullB f y = axBQf y = ax + b(a 0 Oa null 1), vl1 8 aab |M7M ;?/ F). 7f (x) = ax - (ax + b) (a 0 Oa null 1) ( 1) 0 a 1.f null(
3、x ) = ax lna - a 0f (x)(- null , + null )hl.ilimx- null f (x ) = limx- null ax - (ax + b) = + null#limx+null f (x) = limx+ null ax - (ax + b) = - null , Vix 0 null (- null , + null ), Pf (x0 ) = 0. f y = axBQf y = ax + bMBx0.9 ,0 a ax + b, null null x 1. 7f null(x) = ax lna - a = 0,Bx 1 = loga ( aln
4、a ). ArE5: limx+ null ax + bax = limx+ null aax lna = 0,x+ null H, ax 1ax + b k v,V7limx+ null f (x) = limx+null ax - (ax + b) = + null . 6limx- null f (x) = limx- null ax - (ax + b) = + null , yNf (x1 ) = m inf(x ) = m in(ax - (ax + b) ) = alna - a loga ( alna ) - b. 7A = alna - a loga ( alna ) - b
5、,5 1)A 0 H,ax (ax + b),ax(ax + b)M; 2)A = 0 H,ax null (ax + b),ax(ax + b)MB; 37 Vo.l 9, No. 5 Sep. , 2006 null null null null null null null null null null null STUDIES IN COLLEGE MATH EMATICS * l : 2005- 05- 13 a = e2, b = e 2 2 ( ln2 - 2) null null 3)A 0 H,ix 2, x 3 (x 2 (ax + b), x null (- null ,
6、 x2 ) null (x3, + null ) ax = (ax + b), x = x2, x3 ax (ax + b), x null (x2, x3 ) / im f : null null null null null null null null null null null null null null null null null null null null a = e2, b = e 2 2 ( ln2 - 1) a = e 2, b = e 2 2 ( ln2 + 1) ID 1f w nullB T+Enull , 2005 M,8 1 ,41:. (上接第 32页 )
7、 nullygnull(x ) null 0(a x + null ), r(Darboux) , gnull(x )M|, g (x ) (a, + null ) =. ia x y + nullg (x) null g (y), O( Cauchy) ,iBnullnull (x, y) Pf(y) - f (x )g (y) - g (x) = f null(null)gnull(null). !xn null (a, + null ) t_a(+ null ) B ,5 g (xn ) 9F, Olimnnull g (xn ) = + null .Hq(. s5# sM .q:qv , 2002, 88 - 89. 38 null null null null null null null null null null null null null null null null 2006 M9
