高数(上)B-09B - 2008-2009 1 BB 3 15 1 1 lim(1 2 x...

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课程考试试题 学期 学年 拟题人 : 校对人 : 拟题学院(系) : : 2008-2009 1 等数学 B (上) B 数理学院 孙绍权 全校相关专业 赵立宽 (答案写在答题纸上,写在试题纸上无效) 一、填空题(每小题 3 分,共 15 分) 1 1 tan 0 lim(1 2 ) x x x 2 .设 ( ) y y x 由方程 y e xy e 确定,则 (0) y 3 .函数 2 2 1 y x x 在区间 [2,3] 上的最小值是 4 .已知 2 ( ) f x dx x C ,则 2 3 (1 ) x f x dx 5 2 2 0 1 x d t dt dx 二、选择题(每小题 3 分,共 15 分) 1 .当 0 x 时, 1 cos x x 是同阶无穷小,则 ) A 1 ) B 2 ) C 3 ) D 4 2 .设 ( ) f x 是可导函数,则 2 2 0 0 0 ( ) ( ) lim h f x h f x h 等于( ) A 0 ) B 0 2 ( ) f x ) C ' 0 2 ( ) f x ) D 0 0 2 ( ) ( ) f x f x 3 .设函数 ( ) ( 1)( 2)( 3)( 4) f x x x x x x ,则 ( ) 0 f x  有( )个实数根。 ) 1 A ) 2 B ) 3 C ) 4 D 4 .若 ) ( x f 的导函数是 x sin ,则 ) ( x f 有一个原函数为( ) 1 sin A x ) 1 sin B x ) 1 cos C x ) 1 cos D x 5 .若 ( ) F x ) ( x f 的一个原函数,则 ( ) xf x dx ) A ( ) ( ) xf x F x C ) B ( ) ( ) xf x F x C ) C ( ) ( ) xf x f x C ) D ( ) ( ) f x F x C 三、计算题(共 28 分) 1 0 2 lim sin x x x e e x x x 7 分)
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2 .设 0 0 sin x x x x x f ,求 ) ( x f 。( 7 分) 3 .求参数方程 2 3 x t y t t
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