單項(xiàng)選擇題

積分的值等于:()

A.(5/3)π
B.(5/6)π
C.(10/7)π
D.(10/11)π


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4.單項(xiàng)選擇題

曲線在原點(diǎn)處的法平面方程為:()

A.x-y=0
B.y-z=0
C.x+y=0
D.x+z=0

5.單項(xiàng)選擇題曲面xyz=1上平行于x+y+z+3=0的切平面方程是:()

A.x+y+z=0
B.x+y+z=1
C.x+y+z=2
D.x+y+z=3

6.單項(xiàng)選擇題

曲面z=x2+y2在(-1,2,5)處的切平面方程是:()

A.2x+4y+z=11
B.-2x-4y+z=-1
C.2x-4y-z=-15
D.2x-4y+z=-5

7.單項(xiàng)選擇題

曲面z=y+lnx/z在點(diǎn)(1,1,1)處的法線方程是:()

A.(x-1)/1=(y-1)/1=(z-1)/-1
B.(x-1)/1=(y-1)/1=(z-1)/-2
C.(x-1)/1=(y-1)/-1=(z-1)/-2
D.x+y-z=1

8.單項(xiàng)選擇題

在曲線x=t,y=t2,z=t3上某點(diǎn)的切線平行于平面x+2y+z=4,則該點(diǎn)的坐標(biāo)為:()

A.(-1/3,1/9,-1/27),(-1,1,-1)
B.(-1/3,1/9,-1/27),(1,1,1)
C.(1/3,1/9,1/27),(1,1,1)
D.(1/3,1/9,1/27),(-1,1,-1)

9.單項(xiàng)選擇題

設(shè)z=arccot(x+y),則zy′等于:()

A.1/[1+(x+y)2]
B.-sec2(x+y)/[1+(x+y)2]
C.-1/[1+(x+y)2]
D.

10.單項(xiàng)選擇題

函數(shù),在點(diǎn)(0,0)處是否連續(xù)、可導(dǎo)或可微()?

A.連續(xù)但不可導(dǎo)
B.不連續(xù)但可導(dǎo)
C.可導(dǎo)且連續(xù)
D.既不連續(xù)又不可導(dǎo)