推 JI1 : time 12/01 11:25
※ 引述《adamchi (adamchi)》之銘言：
: 1.求((√5-1)^2 / (√2+1)(√3+1)) + (√2(√5+√2)^2 / (1+√2)(√3-√2))
: + (√3(√5+√3)^2 / (1+√3)(√2-√3)) = _______
: ANS: 1-√2-√3-2√5
: 2.degf(x)=5 , f(k)=k^7 , k=1,2,3,4,5,6 ,求f(7)-7^7 = _______
: ANS: -20160
g(x) = f(x) - x^7
= -(x - 1)(x - 2)(x - 3)(x - 4)(x - 5)(x - 6)(x - a)
f(x) = x^7 - (x - 1)(x - 2)(x - 3)(x - 4)(x - 5)(x - 6)(x - a)
deg(f(x)) = 5
-[-1 - 2 - 3 -... - 6 - a] = 0
=> a = 7 * 6/2 = -21
=> f(7) - 7^7 = g(7) = -6! * (28)
= -20160
: 3. (3-sinx)/(2+cosx) , 求max=_____ , min=_____
: ANS: max=9/8 min=-2
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