The intersection of ellipse C1: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0) and parabola C2: x ^ 2 = 2PY (P > 0) is m. the tangent of parabola C2 at point m passes through the ellipse (1) if M (2, (2 √ 5) / 5), find the standard equations of C1 and C2. (2) find the range of eccentricity of ellipse C1

Ellipse C1: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0)
Parabola C2: x ^ 2 = 2PY (P > 0)
(1) If M (2, (2 √ 5) / 5), find the standard equations of C1 and C2
M (2,2 / 5 * √ 5 = 2 / √ 5) into parabola C2: x ^ 2 = 2PY (P > 0)
2^2=2p*2/√5
p=√5
Tangent of parabola C2 at point m
dy/dx=d/dx(x^2/2p)=x/p=2/√5
Tangent equation
y-2/√5=2/√5(x-2)
The point of intersection with X axis 0-2 / √ 5 = 2 / √ 5 (X-2), x = 1
Right focus f (1,0) of C1
a^2=b^2+1
M (2,2 / 5 * √ 5 = 2 / √ 5) into ellipse C1: x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 (a > b > 0)
4/(b^2+1)+4/5*1/b^2=1
b=2
C1：x^2/5+y^2/4=1
C2：x^2=2√5*y

How much is (8 / 9 + 11 / 18) multiplied by 2 / 3 multiplied by 1 / 2?

If C is a real number and the opposite number of a solution of x2-3x + C = 0 is a solution of the equation x2 + 3x-c = 0, find the solution of the equation x2-3x + C = 0

Let x2-3x + C = 0 have a solution t
Then T ^ 2-3T + C = 0
t^2+3t-c=0
T = 0, C = 0
Equation x ^ 2-3x = 0
x(x-3)=0
X = 0 or x = 3

A number divided by 0.01 is equal to the number multiplied by 100, right?

Right. 0.01 is 1 / 100

On the univariate quadratic equation xx-x-n = 0 of X has no real roots

Because there is no real root, we use discriminant
△=b^2-4ac

Answers to the supplementary exercises of Mathematics for Grade 6 on page 28

1.108 72 210 200 24 8
2. A lot of steps to be ~ their own calculation results: 1.64 square meters 0.12 cubic meters
2.50 * 30 * 1.8 △ 200 = 13.5 hours
23 is equal to 8 cubic decimeters, 6 ／ 2 is equal to 3 pieces, 2 ／ 2 is equal to 1 piece, 11 ／ 2 ≈ 5 pieces
3 * 1 * 5 is 15 yuan

If the a power of 2 = 3, the B power of 2 = 5, the C power of 2 = 30, try a and B to represent C
Because I won't play 2 pow

2^a=3 a^b=5 2^c=30
2^c=30=3*2*5
2^(c-1)=3*5=2^a*2^b=2^(a+b)
c-1=a+b
c=a+b+1

What is three fifths minus 3x?

1/5

Given that f (x) = sin (x - φ) + cos (x - φ) is an odd function, then a value of φ ()
A. 0B. πC. π2D. π4

∵ f (x) = sin (x - φ) + cos (x - φ) is an odd function, while f (x) = sin (x - φ) + cos (x - φ) = 2Sin (x − ϕ + π 4) ∵ a value of φ is π 4, so we choose: D

75 divided by 80 equals 6 3 divided by 70 equals ()

15/16；3/70