研究生考试试题列表
- 已知函数 1 1 sin x f x x x ,记 0 lim x a f x , (I) 求 a 的值 (II) 若 x 0 时, f x a 与 k x 是同阶无穷小,求常数 k 的值 . [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605185612_90579.png" alt="" />
- 设 A 为3阶矩阵, |A| =3 ,*A 为 A 伴随矩阵,若交换 A 的第 1行与第 2行得矩阵 B ,则|BA|=()
- 将一枚硬币重复掷n 次,以 X 和 Y 分别表示正面向上和反面向上の次数, 则 X 和 Y の相关系数等于()
- img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605185202_37545.png" alt="" />
- 设A,B=,则A与B=() [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605184900_63731.png" alt="" />
- img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605185031_33450.png" alt="" />
- img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605184826_64981.png" alt="" />
- 设 f(0)=0 ,则 f(x) 在 x =0 处可导の充要条件为()
- [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605184515_59099.png" alt="" />
- 设f(x, y)在点(0,0)附近有定义,且[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605184058_37628.png" alt="" /> ,则
- 设 y =y(x) 是由方程[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605184133_22435.png" alt="" style="white-space:normal;" />所确定的隐函数,则 [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605184155_93075.png" alt="" style="white-space:normal;" />.=
- 设[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605183606_14762.png" alt="" />,其中[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605183624_25108.png" alt="" />为任意常数,则下列向量组线性相关的为()
- 设区域D由曲线[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605182847_66681.png" alt="" />围成,则[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605182913_95972.png" alt="" />
- 设函数y=y(x)由参数方程[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605182742_52096.png" alt="" />
- 曲线y=x(1+arcsin2/x)的斜渐近线方程为_______
- 设函数 f (x, y)为可微函数,且对任意的 x, y 都有[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605180927_43035.png" alt="" />则使不等式[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605180945_31381.png" alt="" /> 成立的一个充分条件是
- 设[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605180718_34094.png" alt="" />,则数列 sn 有界是数列 an 收敛的()
- 设函数[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605180305_32986.png" alt="" />,其中n为正整数,则f'(0)=()
- 曲线[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605180002_37534.png" width="80" height="45" alt="" />的渐近线条数()
- 设矩阵[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605174616_88566.png" alt="" />,则()
- 设A为三阶矩阵,P为可逆矩阵,使得P-1AP=012 [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605174148_95392.png" alt="" />
- 甲乙两人赛跑, 计时开始时, 甲在乙前方 10(单位: m)处,图中实线表示甲的速度曲线v=v1 (t )(单位: m/ s ),虚线表示乙的速度曲线v=v2(t),三块阴影部分面积的数值依次为10,20,3,计时开始后乙追上甲的时刻记为 t0 (单位: s),则() [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605174021_71931.png" alt="" />
- 设 f (x, y) 具有一阶偏导数,且对任意的(x, y) ,[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605173517_21815.png" alt="" />
- 微分方程的特解可设为()
- 设数列[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605172931_62690.png" alt="" />收敛,则()
- 设二阶可导函数[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605160018_23434.png" alt="" />,则()
- 若函数[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605155812_97653.png" alt="" />在x=0处连续,则()
- 发报台分别以概率 0.6 和 0.4 发出信号“ 1”和“ 0”。由于通讯系统受到干扰,当发出信号“ 1”时,收报台未必收到信号“ 1”,而是分别以概率 0.8 和 0.2 收到信号“ 1”和“0”;同时,当发出信号“ 0”时,收报台分别以概率 0.9 和 0.1 收到信号“ 0”和“ 1”。求[br] (1)收报台收到信号“ 1”的概率;[br] (2)当收报台收到信号“ 1”时,发报台确是发出信号“ 1”的概率。
- 设 A,B 为随机事件,试证:P(A)=P(A--B)+P(AB) .
- 据资料分析,某厂生产的一批砖,其抗断强度X~N(32.5,1.21) ,今从这批砖中随机地抽取了 9 块,测得抗断强度 ( 单位: kg/cm2)的平均值为 31.12 ,问这批砖的抗断强度是否合格[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605154225_10651.png" alt="" />
- [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605153745_62536.png" alt="" />[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605153754_29922.png" alt="" />
- 求线性方程组[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605153546_85730.png" alt="" />的全部解。
- 设矩阵[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605153158_81388.png" alt="" />
- 若参数[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605153002_64891.png" alt="" />更 ( )
- 设随机变量 X,若 D(X)=3 ,则 D(一 X+3)= ( ).
- 若则 [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605152703_20064.png" alt="" />,P(AB)= ( ).
- 设 A 为押阶方阵,若存在数A 和非零”维向量x,使得 ( ),则称 x 为 A 相应于特征值 A 的特征向量.
- 设 A 是 2 阶矩阵,且[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605152434_64432.png" alt="" />
- 设 f(x) 和 F(x) 分别是随机变量X 的分布密度函数和分布函数,则对任意a<b,有()[br] [img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605152155_52750.png" alt="" /> [br]
- 袋中有 3 个红球, 2 个白球,第一次取出一球后放回,第二次再取一球,则两球都是红球的概率是 ( )