Horse idioms, sayings and poems

Horse idioms, sayings and poems

Horse never stops, horse's teeth grow in vain, horse's success comes from horse's ears, horse's speed, horse's front, horse's head is forward, horse's head is forward, horse's head is forward, horse's head is forward, horse's hair is long and thin, horse's throat is in Chetian, horse's air is in North Hebei, horse's high speed, horse's speed, horse's spur, horse's wisdom, horse's love with Inn, horse's galloping

For the first time, scientists in ancient China put the PI to the sixth place after the decimal point
PI 3.1415926

For the first time, a scientist (Zu Chongzhi) in ancient China (Northern and Southern Dynasties) put the PI to the sixth place after the decimal point

Find the plane equation which is parallel to the known plane 9x + y + 2Z + 5 = 0 and the volume of the tetrahedron formed by the three coordinate plane is 1

Because the plane is parallel to the known plane 9x + y + 2Z + 5 = 0, let the plane equation be 9x + y + 2Z + a = 0, let y, z = 0, and the intersection of the plane and the X axis is x = - A / 9. Similarly, the intersection of the plane and the Y, Z axis is y = - A, z = - A / 2, so the volume = XYZ / 6 = 1, - A ^ 3 = 108, a = - 3 root 108

The known function f (x) = ax cubic - 3 / 2 (a + 2) x square + 6x-3
(1) When a > 2, the minimum value of the function is obtained
(2) When a > 0, we discuss the number of curves y = f (x) and X axis

f（x）＝ax^3-3/2（a+2）x^2+6x-3
The two roots of F '(x) = 3ax ^ 2-3 (a + 2) x + 6 = 3 [(x-1) (AX-2)] = 0 are X1 = 1, X2 = 2 / A
(1) When a > 2, the two roots of F '(x) = 0 are X1 = 2 / A

Can (5 ^ 2-8) be divisible by 4
Can (5 ^ 7 + 98-72 + 45212 + 21210-54655) be divisible by 5?

5 ^ 2-8 = 17 is not divisible by 4
（5^7+98-72+45212+21210-54655)/5=5^6+(98-72+45212)/5+4242+10931
Only here (98-72 + 45212) / 5 is not divisible
So (5 ^ 7 + 98-72 + 45212 + 21210-54655) cannot be divided by 5

Point P is the point on the ellipse x ^ 2 / 16 + y ^ 2 / 9 = 1, and F1F2 is the focus. If the angle f1pf2 = 90 degrees, what is the area of △ f1pf2
I want to know why we can't set Pf1 as X, PF2 = 8-x, and then use Pythagorean theorem to calculate. In the process of calculation, the equation has no solution

That's how it is calculated. This is the standard method

The product of two prime numbers is 34. Find the sum of the two prime numbers

34=2×17
So these two prime numbers are 2 and 17, respectively
2+17=19
A: the sum of these two prime numbers is 19

Function image is symmetric about point
How to prove the centrosymmetry of function image about a point

To prove that the image of function y = f (x) is symmetric with respect to point (a, b), we only need to prove that 2b-y = f (2a-x)

If the line y = KX + B is parallel to the line y = 2x and intersects the Y axis at the point (0,2), the function expression of the line is

Because the line y = KX + B is parallel to the line y = 2x
So k = 2
Because the line intersects the Y axis at point (0,2)
Therefore, substituting (0,2) into (0,2) gives:
b = 2
So the function expression of the line is y = 2x + 2

The sum of the digits of a natural number in 4 is 5, the sum of the digits in 6 is 9, and the sum of the digits in 8 is 6,
What does he represent in the decimal system

It didn't work out
According to "the sum of the digits in the 4-base system is 5", the following digits in the 10-base system can be determined
4-ary (10-ary): 23 (11) 32 (14) 311 (53) 113 (23) 131 (29) 221 (41) 122 (26) 212 (38) 2111 (149) 1211 (101) 1121 (89) 1112 (86) 11111 (341)
Among them, only 221 (41) satisfies the condition that "the sum of all digits in the octal system is 6", but the HEXAL system of 41 is 65, which does not satisfy the condition that "the sum of all digits in the HEXAL system is 9"