A. E D-|||-F-|||-B如图，在平行四边形ABCD中，点E在边AD上，联结BE，交对角线AC于点F，如果((S)_(△AEF))/((S)_{△BFC)}=(1)/(9)，AD=15，那么AE= ____ ．

知函数f(x)的定义域为[0,1]，求函数f(3x-1)的定义域.

设对任意的x,总有 varphi (x)leqslant f(x)leqslant g(x) ,且 lim [ g(x)-varphi (x)] =0 ,则 lim _(xarrow infty )f(x) () .-|||-(A)存在且一定等于零 (B)存在但不一定为零-|||-(C)一定不存在 (D)不一定存在

1.确定下列函数的凸性区间与拐点:-|||-(1) =2(x)^3-3(x)^2-36x+25;-|||-(2) =x+dfrac (1)(x) ;-|||-(3) =(x)^2+dfrac (1)(x);-|||-(4) =ln ((x)^2+1);-|||-(5) =dfrac (1)(1+{x)^2}

单选题 1.函数y=(1)/(x-2)+sqrt(ln x)的定义域是（）A. (2,+∞)B. [1,+∞)C. (-∞,2)U(2,+∞)D. [1,2)U(2,+∞)

已知f((1)/(x))=((x+1)/(x))^2，则f(x)=A. ((x)/(x+1))^2B. ((x+1)/(x))^2C. (1+x)^2D. 1-x^2

求微分方程x^2y''-2xy'-(y')^2=0(x>2)满足条件y|_(x=3)=(1)/(2)，y'|_(x=3)=-9的解.

7.设函数 =arcsin (x)^2, 则 dy/dx= ()-|||-A. dfrac (2x)(sqrt {1+{x)^4}} B. dfrac (2x)(sqrt {1-{x)^4}}-|||-C. dfrac (1)(sqrt {1-{x)^4}} D. dfrac (1)(sqrt {1+{x)^4}}

2、 下列函数中为奇函数的是 ()-|||-(A) =(sin )^2x-|||-(B) =xcos x-|||-(C) =sin x+cos x-|||-(D) =(e)^x 公

设D=(x,y)mid-sqrt(1-(y-1)^2)le xlesqrt(4-y^2),0le y,le 2已知iintlimits_(D)(x^3+xy^2)/(( sqrt(x^2)+y^(2)+y^{3))^3}dxdy=aln2+b，其中a，b为有理数，求a-b.<|im_end|>请输入你的答案(如果没有答案为数值形式，如4,0,3,9,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,1

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