1-14 应用冲激信号的抽样特性,求下列表示式的函数值。-|||-(1) (int )_(-infty )^infty f(t-(t)_(0))delta (t)dt-|||-(2) (int )_(-infty )^infty f((t)_(0)-t)delta (t)dt-|||-(3) (int )_(-infty )^infty 8(t-(t)_(0))u(t-dfrac ({t)_(0)}(2))dt-|||-(4) (int )_(-infty )^infty 8(t-(t)_(0))u(t-2(t)_(0))dt-|||-(5) (int )_(-infty )^infty ((e)^-t+t)delta (t+2)dt-|||-(6) (int )_(-infty )^infty (t+sin t)delta (t-dfrac (pi )(6))dt-|||-(7) (int )_(-infty )^-infty (e)^-in7[ 8(t)-delta (t-(t)_(0))] dt

1.2.1 求下面各题的所有的根、单根,并说明几何意义:-|||-(a) ((2i))^dfrac (1{2)};-|||-(b) ((1-sqrt {3)i)}^dfrac (1{2)};-|||-(c) ((-1))^dfrac (1{3)};-|||-(d) ((-16))^dfrac (1{4)};-|||-(e) ^dfrac (1{6)};-|||-(f) ((-4sqrt {2)+4sqrt (2)i)}^dfrac (1{3)}.

2.设A,B,C为三个事件,用A,B,C的运算关系表示下列各事件:-|||-(1)A发生,B与C不发生;-|||-(2)A,B,C中至少有一个发生;-|||-(3)A,B,C都发生;-|||-(4)A,B,C都不发生;-|||-(5)A,B,C中不多于两个发生;-|||-(6)A,B,C中至少有两个发生;

设函数 (z)=dfrac (1)({z)^2}, 下列说法正确的是-|||-A f(z)在整个复平面解析-|||-B f(z)在除去原点的复平面处处解析-|||-C f(z)在整个复平面处处可导-|||-D f(z)在 z=0 处解析

(7)D_(n)=|}1+a_(1)&1&...&11&1+a_(2)&...&1vdots&vdots&...&vdots1&1&...&1+a_(n)neq0.

方程 |z+2-3i|=sqrt(2) 所代表的曲线是(）A. 中心为 2-3i，半径为 sqrt(2) 的圆周B. 中心为 -2+3i，半径为 2 的圆周C. 中心为 -2+3i，半径为 sqrt(2) 的圆周D. 中心为 2-3i，半径为 2 的圆周

求解行列式2 4 4 -3-|||-__-|||-1 -6 -2 1-|||--3 5 2 0-|||-4 -12 0 3。

4.下列函数在何处可导?何处解析?在可导点处求出其导数.-|||-(1) (z)=x(y)^2+i(x)^2y ;-|||-(2) (z)=(x)^2-iy ;-|||-(3) (z)=(z)^3+2iz ;-|||-(4) (z)=sin xchy+icos xshy ;-|||-(5) (z)=dfrac (1)({z)^2-1} ;-|||-(6) (z)=dfrac (az+b)(cz+d)(cneq 0) .

14.今有甲、乙两名射手轮流对同一目标进行射击,甲命中的概率为p1,乙命中的概率为p2.-|||-甲先射,谁先命中谁得胜,分别求甲、乙两人获胜的概率.

10.设A,B为两个事件,已知 P(A)=1/4,P(B/A)=1/3,P(A/B)=1/2, 则 P(B)=()A. 1/2B. 1/6C. 1/4D. 2/3

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