There is a point P (1, - 1) in an ellipse (a ^ 2 = 4, B ^ 2 = 3), f is the right focus of the ellipse, point m is on the ellipse, and the maximum value of | MF | + | MP |?

There is a point P (1, - 1) in an ellipse (a ^ 2 = 4, B ^ 2 = 3), f is the right focus of the ellipse, point m is on the ellipse, and the maximum value of | MF | + | MP |?

A ^ 2 = 4, so a = 2
c=4-3=1
e=c/a=1/2
The right quasilinear equation is x = a ^ 2 / C, that is, x = 4
The elliptic equation is x ^ 2 / 4 + y ^ 2 / 3 = 1, right focus f (1,0) P (1, - 1)
Obviously, the maximum value is the longest distance from the left end point to 2 points
IPMI+IPFI=3+√10

2012 fifth grade volume I mathematics final examination questions complete edition

1、 Think hard, I will fill in. (20 points)
1. The product of 5.04 × 2.1 is () decimal places; the quotient of 22.6 △ 0.33 is ()
2. Will keep two decimal places is (), keep three decimal places is ()
3. Put ">" in the circle below“

In the equation system KX - Y - 4 = 0 4x ^ 2 + 9y ^ 2 + 18y - 18 = 0, the equation system has only one real root when k is the value

Y + 1 = kx-3 is substituted into 4x ^ 2 + 9 (y + 1) ^ 2 = 27. 4x ^ 2 + 9 (kx-3) ^ 2 = 27. (9K ^ 2 + 4) x ^ 2-54kx + 54 = 0. Let the discriminant = 0. Get 54 ^ 2 = 4 (9K ^ 2 + 4) * 54. Get k = positive and negative root sign (19 / 18)

Fourth grade volume 1 Complete Book of mathematical oral arithmetic

If you want to keep pace with your study, you can add the name of the place where you are first, such as "Beijing primary school fourth grade mathematics oral calculus" or "Beijing fourth grade mathematics oral calculus". If you have the fourth grade mathematics oral calculus in the first and second semester, you can keep it. Anyway, it's not the second half of the semester,

A square flower garden, the side length increases 3 meters, the area increases 63 square meters, how much is the original area
How can I teach you to set X

3x3=9
63-9=54
54/2=27
37/3=9
9x9=81
I suggest you draw a picture to see it. It's easier to understand

The derivation process of displacement formula of simple harmonic motion,

Because the image of simple harmonic motion is a sine or cosine image, and the cosine can be obtained by replacing the sine with a π or subtracting a π, sin is used to replace the sine or cosine in the formula. A is the amplitude, W is the circumference, w = 2 π / T. so x = asinwt = asin2 π / T is in phase; the frequency is the same, but the pace is the same

A cuboid is 26 cm high. It is cut into two cuboids horizontally. The surface area is increased by 80 square cm

80 △ 2 × 26, = 40 × 26, = 1040 (cubic centimeter); answer: the original cuboid volume is 1040 cubic centimeter

On average velocity and average velocity
If someone runs from the top of the mountain to the bottom of the mountain at the average speed V1, and then runs from the bottom of the mountain to the top of the mountain at the average speed V2, the average speed and average speed of the round trip are
A.(V1+V2)/2 (V1+V2)/2
B.(V1-V2)/2 (V1+V2)/2
C.0 (V1-V2)/(V1+V2)
D.0 2V1V2/(V1+V2)
Please explain why!

Answer B
If the speed has a direction, it should be reduced when walking in the opposite direction
Speed has no direction

The generatrix ab of the cone is 12, and the radius of its bottom is 2. What is the shortest distance from point B to point B

The shortest distance is the chord connecting the two ends
The arc length is π d = 4 π
Then the center angle of the circle is 4 π / 12 = π / 3
Then the chord and the edge of the sector form an equilateral triangle
So string = 12

|-How can 2x-1 | - | - 2x + 1 | = - (| - 2x-1 | - | - 2x + 1 |) be simplified

Simplification: the original formula = | 2x + 1 | - | 2x-1 | = - (| 2x-1 | - | 2x + 1 |)
I don't know. Keep asking