Question

Ch423

請問A2的式子算出來為什麽沒有c,是怎麼算的

- 1513
Let D be the region bounded by the curve y=-x2 and the line
y = mx +(m-1) · where m<0.Find a real number c such the
line L=x=c divides the region D into two parts with equal areas.
【台大(A)
解:1.
(x200).
(
1000)
1-m
x x
NH
---
X=C
'y=mx+(m-1)
2. 求交點
ly=-x²
= x² + mx +(m-1)=0 = (x+1)(x +m-1) = 0
(y=mx+(m-1)
Cola's stogo Tubo
+
brev
..x=-1, 1-m
3. A = L, -x? – mx-(m–1)dx
c3 2 c? 1
+ +(--
+-)m-(c+1)m + c
3. 3 2 2
+
1 A2
- x“ - mx-(m-1)dx
A2 = |-*-x?
-\m-8)1 – m)2 – (8-9m
9m))
01-