[题目]-|||-设 lim _(xarrow infty )((dfrac {x+2a)(x-a))}^x=8 且 a≠0, 求常数a的值.

(5)已知积分区域 = (x,y)||x|+|y|leqslant dfrac {pi )(2)} _(1)=iint sqrt ({x)^2+(y)^2}dxdy _(2)=iint sin sqrt ({x)^2+(y)^2}dxdy,-|||-_(3)=iint (1-cos sqrt ({x)^2+(y)^2})dxdy, 试比较I1,I2,I3的大小 ()-|||-(A) _(3)lt (I)_(2)lt (I)_(1) (B) _(1)lt (I)_(2)lt (I)_(3) (C) _(2)lt (I)_(1)lt (I)_(3) (D) _(2)lt (I)_(3)lt (I)_(1)

判断下列函数的奇偶性-|||-(1) (x)=x(sin )^2x:-|||-(2) (x)=xsin (x)^2-|||-(3) (x)=sin (arctan x)-|||-(4) (x)=dfrac ({x)^3cos ((x)^3)}(1+{x)^2}

函数f(x)=2x3-3x2的单调递减区间为( ).A. (-∞,0]B. [0,1]C. [1,2]D. [2,+∞)

【题目】求由方程 x-y+1/2siny=0 所确定的隐函数的二阶导数(d^2y)/(dx^2)

[题目]求函数 =2sin 3x, .in [ -dfrac (pi )(6),dfrac (pi )(6)] 的反函-|||-数.

2.当 arrow 0 时,若 lim _(xarrow 0)dfrac (sqrt [4]{x)+sqrt [3](x)}({x)^k}=A(Aneq 0), 则 = __

设[x]是表示不超过x的最大整数,则 =x-[ x] 是 __-|||-(A)无界函数 (B)周期为1的周期函数 (C)单调函数 (D)偶函数

设Dk是圆域 = (x,y)|{x)^2+(y)^2leqslant 1} 位于第k象-|||-限的部分, _(k)=(iint )_(k)(y-x)dxdy(k=1,2,3,4), 则_ __-|||-A. _(1)gt 0 B. _(2)gt 0 C. _(3)gt 0 D. _(4)gt 0

今年考题 (2025,1)设n阶矩阵A,B,C满足r(A)+r(B)+r(C)=r(ABC)+2n.则下面4个结论中一定正确的是 ①r(ABC)+n=r(AB)+r(C). ②r(AB)+n=r(A)+r(B). ③r(A)=r(B)=r(C)=n. ④r(AB)=r(BC)=n. (A.)①②. (B.)①③. (C.)②④. (D.)③④.

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