T=2,
v=2×2-2/2? =4- 1/2=7/2
2 Solution: Let the coordinates of the tangent point be (x0, x0? )
Y'|x=x0=2x0, so the tangent equation is y-x0? =2x0(x-x0)
∵ parabola y=x? Intersection p (5/2,2)
∴2-x0? =2x0(5/2-x0)
X0=2 or 3
So the coordinates of the tangent point are (2,4) or (3,9).
The tangent passes through point p (5/2,2).
The tangent equation is 4x-y-4=0 or 6x-y-9=0.
3.A
Solution: ∵ The premise is: "For differentiable function f(x), if f'(x0)=0, then x=x0 is the extreme point of function f(x)", which is not a true proposition.
Because for the differentiable function f(x), if f'(x0)=0 and the derivative function values are different when x > x0 and x < x0 are satisfied, then x=x0 is the extreme point of the function f(x).
∴ major premise error,