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考研数学二试题列表
[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606144217_66480.png" width="500" height="111" alt="" />
[br] 已知[img src="https://img.haodaxue.net/uploadimg/image/20200609/20200609205947_22249.png" width="100" height="98" alt="" /> ,二次型 [img src="https://img.haodaxue.net/uploadimg/image/20200609/20200609210015_17509.png" alt="" />的秩为 2, (I) 求实数 a的值; (II) 求正交变换 x=Qy 将f 化为标准形 .[br]
设[img src="https://img.haodaxue.net/uploadimg/image/20200609/20200609210133_51971.png" width="200" height="114" alt="" /> (I) 计算行列式 A ; (II) 当实数a为何值时,方程组[img src="https://img.haodaxue.net/uploadimg/image/20200609/20200609210158_70046.png" alt="" />有无穷多解,并求其通解
证明方程 x x x 1 n n-1 + n 1的整数 ,在区间 1 ,1 2 内有且仅有一个实根; (II) 记(I) 中的实根为 xn,证明 lim n n x 存在,并求此极限[br] [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606143407_36959.png" alt="" />
[img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606143056_46417.png" alt="" />
已知函数 f ( x) 满足方程 f (x) f (x) 2 f (x) 0 及 ( ) ( ) 2 x f x f x e , (I) 求 f (x) 的表达式 (II) 求曲线 2 2 0 ( ) ( )d x y f x f t t 的拐点.[br] [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606142835_21147.png" alt="" /> [br] [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606142848_99724.png" alt="" />
计算二重积分 d D xy ,其中区域 D为曲线 r 1 cos 0 与极轴围成.[br] [img src="https://img.haodaxue.net/uploadimg/image/20200606/20200606135540_40838.png" alt="" />
[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605185820_80464.png" alt="" />
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|=()
img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605185202_37545.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="" />
[img src="https://img.haodaxue.net/uploadimg/image/20200605/20200605184515_59099.png" alt="" />
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 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()
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