【名词&注释】
线性方程(linear equation)、幂级数(power series)、绝对值(absolute value)、单位向量(unit vector)、不满足(does not satisfy)、法平面、可表示(can be expressed)
[单选题]满足方程f(x)+2f(x)dx=x2的解f(x)是:()
A. -(1/2)e-2x+x+1/2
B. (1/2)e-2x+x-1/2
C. ce-2x+x-1/2
D. ce-2x+x+1/2
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学习资料:
[单选题]设L是圆周x2+y2=a2(a>0)负向一周,则曲线积分(x3-x2y)dx+(xy3-y3)dy的值为:()
A. πa4
B. -πa4
C. -(π/2)a4
D. (π/2)a4
[单选题]已知幂级数()
A. b
B. 1/a
C. 1/b
D. R的值与a、b无关
[单选题]设,则k的值是:()
A. 1/6
B. 1
C. 1/4
D. 1/3
[单选题]过点M0(-1,1)且与曲线2ex-2cosy-1=0上点(0,π/3)的切线相垂直的直线方程是:()
A. y-π/3=(/2)x
B. y-π/3=-(2/)x
C. y-1=(/2)(x+1)
D. y-1=-(2/)(x+1)
[单选题]如果导式f(x)edx=-e+c,则函数f(x)等于()
A. -1/x
B. -(1/x2)
C. 1/x
D. 1/x2
[单选题]已知两点M(5,3,2)、N(1,-4,6),则与同向的单位向量可表示(can be expressed)为:()
A. {-4,-7,4}
B. {-4/9,-7/9,4/9)
C. {4/9,7/9,-4/9}
D. {4,7,-4}
[单选题]直线l:(x+3)/2=(y+4)/1=z/3与平面π:4x-2y-2z=3的位置关系为:()
A. 相互平行
B. L在π上
C. 垂直相交
D. 相交但不垂直
[单选题]曲线在原点处的法平面方程为:()
A. x-y=0
B. y-z=0
C. x+y=0
D. x+z=0
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