課程名稱︰微乙
課程性質︰必修
課程教師︰黃漢水
開課學院：管院
開課系所︰很多
考試日期（年月日）︰11/22
考試時限（分鐘）：150
是否需發放獎勵金：不用
（如未明確表示，則不予發放）
試題 :
一.find the following limits if it exists
－－－－
(8/x^2-x+2)-2 √1/t^2+12 - 1/4
(1)lim -------------- (2) lim－－－－－－－－－－
x>-1 x^2-1 t>2 t^2-4
－－－
二.let f(x) =√x^2-8
(1)find the equation of the tangent line L of the graph of y=f(x)
at the point (a,f(a)),where a>√8
(2)find the area of the trianqular region bounded by the tangent line L
y=x and y=-x
三.
(1)sketch the graph of g(x)=x^4+4x^3-16x-16
(2)find the absolutely Max and min value on[-1,3]
(3)find the absolutely Max and min value on[-3,2]
四.Let L be a line which is passing through (2,1)
find the min area of the region bounded by L , x-axis , y-axis
五.let h(x)=x^3-3bx+c
find necessary and sufficient conditions on b and c such that f(x)=0
has three distinct real roots
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