用克莱姆法则求解线性方程组 } 2x_1+x_2-5x_3+x_4=8x_1-3x_2 -6x_4=9 2x_2-x_3+2x_4=-5x_1+4x_2-7x_3+6x_4=0，则得 x_1=______ ；x_2=______ ；x_3=______ ；x_4=______ .

2.已知解析函数f(z )的实部u(x,y )或虚部v(x,y ),求该解析函数.-|||-(1) =(e)^xsin y,-|||-(2) =(e)^x(xcos y-ysin y) (0)=0,-|||-(3) =dfrac (2sin 2x)({e)^2y+(e)^-2y-2cos 2x} ,f(π/2)=0,-|||-(4) =dfrac (y)({x)^2+(y)^2} (2)=0,-|||-(5) =dfrac ({x)^2-(y)^2}({({x)^2+(y)^2)}^2} (omega )=0,-|||-(6) =(x)^2-(y)^2+xy (0)=0,-|||-(7) =(x)^3-3x(y)^2 (0)=0,-|||-(8) =(x)^3+6(x)^2y-3x(y)^2-2(y)^3 (0)=0-|||-(9) =(x)^4-6(x)^2(y)^2+(y)^4 (0)=0,-|||-(10) =ln rho , (1)=0,-|||-(11) =varphi , (1)=0.

2.先抛一枚硬币,若出现正面(记为Z ),则再掷一颗骰子,试验停止;若出现反面(记为F),则再.-|||-抛一次硬币,试验停止.那么该试验的样本空间Ω是什么?

(3.)求下列极限:-|||-(1) lim _(xarrow infty )dfrac (1)(1+{z)^2} ;-|||-(3) lim _(zarrow 1)dfrac (z-i)(z(1+{z)^2)} ;-|||-(2) lim _(xarrow 0)dfrac (Re(z))(z) ;-|||-(4) lim _(xarrow 1)dfrac (zoverline {z)+2z-overline (z)-2}({z)^2-1}

设事件A与B互不相容, (A)=0.4, P(B)=0.3 ,则-|||-(overline (A)B)= __ , (overline (A)cup B)= __ o

f(x)= ) cos x,xgt 0 1+x,xlt 0 .= _ ;

13.计算 n+1 阶行列式.-|||-a 1 1 ... 1 1-|||-1 a1 0 ... 0 0-|||-1 0 an ... 0 0-|||-(1) :;-|||-1 0 0 ... _(n)-1 0-|||-1 0 0 0 an-|||--(a)_(1) a1 0 01-|||-0 -(a)_(2) a2 0 0-|||-(2)-|||-0 0 0 . -an an-|||-1 1 1 1 1

已知函数f(x)=x^3-3ax^2+3x+1。 (1)设a=2，求f(x)的单调区间； (2)设f(x)在区间(2,3)中至少有一个极值点，求a的取值范围。

三台机器相互独立运转,设第一,二,三台机器不发生故障的概率依次为0.9,0.8,0.7,则这三台机器中至少有一台发生故障的概率().A. 查看原图0.006B. 0.504查看原图C. 查看原图0.496D. 查看原图0.994

4.试建立分别具有下列性质的曲线所满足的微分方程:-|||-(1)曲线上任一点的切线与该点的径向夹角为α;-|||-(2)曲线上任一点的切线介于两坐标轴之间的部分等于定长l;-|||-(3)曲线上任一点的切线介于两坐标轴间的部分被切点等分.

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