考研数学三试题列表
- 设某种元件的使用寿命T的分布函数为[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606155616_71535.png" alt="" /> [br] [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606155644_85562.png" alt="" /> [br] [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606155703_26636.png" alt="" />
- 二维随机变量(X ,Y) 在D=(x,y)0<y<1-x2上服从均匀分布,求Z1,Z2联合分布。 [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606155326_48726.png" alt="" />
- 设A为2阶矩阵,P(阿尔法,A阿尔法) ,其中阿尔法是非零向量且不是A的特征向量 [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606155058_48387.png" alt="" />
- 设二次型f(x1,x2)=x12+4x1x2+4x22经正交变换化为二次型,求ab的值。 [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606154749_14092.png" alt="" />
- f(x)在[0, 2]上具有连续导数,[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606154531_54426.png" alt="" />[br] [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606154544_37277.png" alt="" />
- f(x,y)=y根号1-x2+s f(x,y)dxdy其中D=(x,y),则 [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606153921_52275.png" alt="" />
- 若[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606153523_21864.png" alt="" />则[br] (1)求f(x)[br] (2)[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606153615_33008.png" alt="" />
- 求二元函数f(x,y)=x3+8y3-xy的极值。
- 已知a,b为常数,[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606153138_23988.png" alt="" />时为等价无穷小,求a,b .
- 随机变量X的概率分布[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606152755_94197.png" alt="" />Y 表示 X 被 3 除的余数 ,则E(Y) = ______.
- 行列式[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606152513_12404.png" alt="" />
- 设平面区域[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606152159_62124.png" alt="" />,则 D绕y轴旋转所成旋转体体积为_____
- Q表示产量,成本C(Q)=100+13Q,单价p,需求量Q(p)=800/P+3-2则工厂取得利润最大时的产量为_____
- 曲线[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606151701_10525.png" alt="" />在点(0,-1)处的切线方程为 ________.
- 设[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606151505_56510.png" alt="" />
- 设随机变量(X,Y)服从二维正态分布N(0,0;1,4;-1/2),随机变量中服从标准正态分布且与X独立的是()
- 设A,B,C为三个随机事件 ,且P(A)=P(B)=P(C)=1/4,P(AB)=0,P(AC)=P(BC)=1/12,则A,B,C中恰有一个事件发生的概率为()
- 设A为3阶矩阵,[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606150412_58654.png" alt="" />为 A 的属于特征值1的线性无关的特征向量,[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606150442_10605.png" alt="" />为A的属于-1的特征向量,则[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606150501_76480.png" alt="" />的可逆矩阵P为()
- 设4阶矩阵A=(aij )不可逆,a12 的代数余子式A12不等于0,为矩阵A的列向量组 [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606150038_87396.png" alt="" />
- 设幂级数[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606145800_90086.png" alt="" style="white-space:normal;" />的收敛区间为(-2,6),[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606145800_97779.png" alt="" style="white-space:normal;" />的收敛区间为()
- 设奇函数 f (x) 在 [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606145347_14510.png" alt="" />上具有连续导数,则()
- [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606144810_50087.png" alt="" />第二类间断点个数()
- [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606144451_27181.png" alt="" />()
- 过(0,1)点作曲线L:y=lnx的切线,切点为A,又L与x轴交于B点,区域D由L与直线AB围成,求区域D的面积及D绕x轴旋转一周所得旋转体的体积.