[题目]设n,k为正整数,且 https:/img.zuoyebang.cc/zyb_b8e3422e2abb98a671ce682ddd3d5d64.jpgleqslant kleqslant n-|||-(1)证明: dfrac (2)(n)ln (1+dfrac (k-1)(n)pi )leqslant (int )_(dfrac {b-1)(n)pi }^dfrac (kpi {n)}|sin (x+dfrac (pi )(2));-|||-(1+x)dxleqslant dfrac (2)(n)ln (1+dfrac (kpi )(n))-|||-(2)求 lim _(narrow infty )(int )_(0)^pi |sin nx|ln (1+x)dx

8.求下列公式的主合取范式,再用主合取范式求主析取范式.-|||-(1) (plambda q)arrow q-|||-(2) (parrow q)arrow r-|||-(3) (rarrow p)Nplambda q

1.求下列函数的Fourier积分表达式：(1)f(t)=}1-t^2,&|t|<1,0,&|t|geq1.

计算积分,其中C是从0到1+i的直线段(int )_(C)(x-y+i(x)^2)dz

设方阵满足，则.A.B.C.不存在D.

下列命题中正确的是() A. 设A和B都是数域F上的n阶反对称矩阵,则A-3B是反对称矩阵B. 设A和B都是数域F上的n阶对称矩阵,则AB是对称矩阵C. 设A和B都是数域F上的n阶初等矩阵,则AB是初等矩阵D. 设A和B都是数域F上的n阶可逆矩阵,则A+B是可逆矩阵

已知事件A,B满足 (AB)=P(overline (A)overline (B)), 则下式错误-|||-的是 ()-|||-square A. (AB)=P(overline (A)overline (B))Longrightarrow AB=overline (A)overline (B)-|||-square B. (AB)=P(overline (A)overline (B))Longrightarrow P(AB)=0-|||-square C. (AB)=P(overline (A)overline (B))Longrightarrow A, B对立-|||-square D.P (overrightarrow (AB))=P(overline (A)overline (B))Longrightarrow P(A)+P(overline (B))=1

将3个小球，随机放入4个杯子中，则至少有两个球在同一个杯子中的概率是（）A.https:/img.zuoyebang.cc/zyb_d7a8a4340d97fce4652dcd2e247e82e2.jpg-dfrac ({A)_(4)^3}({4)^3}B.https:/img.zuoyebang.cc/zyb_8a9a342ae32724b958bf210f8861bd6d.jpg-dfrac ({A)_(4)^3}({4)^3}C.https:/img.zuoyebang.cc/zyb_9f26dc2a6336f9b5757229e41ab96cc9.jpg-dfrac ({A)_(4)^3}({4)^3}、D.https:/img.zuoyebang.cc/zyb_601aa07ff8eb209eb5673dd22476242d.jpg-dfrac ({A)_(4)^3}({4)^3}

4、曲线 https:/img.zuoyebang.cc/zyb_c011ae167cb571e3b691355621d443db.jpg'=(x)^3-4(x)^2+3x+4 的凹区间是 () .-|||-(A) [ dfrac (4)(3),+x) (B) (-x,dfrac (1)(3)] -|||-(C) [ -2,0] : (D)没有凹区间。

已知t是数域F中的数,A= [ matrix (1 2 3 0 t 3 0 1 -1) ,B是数域F上的3阶非零矩阵,且AB=0,则t= A. 任意实数B. -3C. 2D. 3

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