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It is proved that 1999 × 2000 × 2001 × 2003 × 2004 × 2005 + 36 is a complete square number
Let a = 2002, the original formula is: = (A-3) (A-2) (A-1) (a + 1) (a + 2) (a + 3) + 36 = (a ^ 2-1) (a ^ 2-4) (a ^ 2-9) + 36 = a ^ 6 - (1 + 4 + 9) a ^ 4 + (4 + 9 + 36) a ^ 2-36 + 36 = a ^ 6-14a ^ 4 + 49A ^ 2 = a ^ 2 (a ^ 4-14a ^ 2 + 49) = a ^ 2 (A-7) ^ 2 = [a (A-7)] ^ 2, so it is a complete square number
What is the equivalent of 2001 & sup2; - 2002 × 2000?
2001²-2002×2000
=2001²-(2001+1)×(2001-1)
=2001²-(2001²-1)
=1
How old are you this year Smile replied: "with my age minus 8, multiplied by 7, plus 6, divided by 5, just equal to 4, please calculate, how old am I this year?"
(4 × 5 - 6) △ 7 + 8 = 14 △ 7 + 8 = 2 + 8 = 10 years old; a: Xiaoxiao is 10 years old
The area of a parallelogram is 18 square meters, and the area of a triangle with the same height as its bottom is 18 square meters______ ．
According to the stem analysis, we can get: 18 △ 2 = 9 (square meters). A: the area of a triangle with the same height as its bottom is 9 square meters. So the answer is: 9 square meters
The quotient of a number divided by 4.5 is 24.8 less than that of 28. How much is this number
This number is X
x/4.5=28-24.8
x/4.5=3.2
x=4.5*3.2=14.4
Cut a square sheet iron with a side length of 2.4 decimeters into the largest circle. What is the circumference and area of the circular sheet iron?
What is the radius of the circle
2.4 △ 2 = 1.2 (decimeter)
What is the circumference of a circle
2.4 × 3.14 = 7.536 (decimeter)
What is the area of a circle
1.2 × 1.2 × 3.14 = 4.5216 (square decimeter)
How to calculate 39 + (61 + 75) + 25 simply
(39+61)+(75+25)
=100+100
=200
It is known that, as shown in the figure, the bisector of ∠ CBD and ∠ BCE at the outer angle of △ ABC intersects at point F. it is proved that point F is on the bisector of ∠ DAE
It is proved that the vertical lines FP, FM and FN passing through point F are AE, BC and ad respectively, P, m and N are perpendicular feet, ∵ CF is the bisector of ∠ BCE, ∵ FP = FM. Similarly, FM = FN. ∵ FP = FN. ∵ point F is on the bisector of ∠ DAE
Using vector to prove inequality a ^ 2 + B ^ 2 is greater than or equal to 2Ab
Suppose that vectors a and B are parallel vectors, then there should be
(a-b)^2≥0
So a ^ 2 + B ^ 2 ≥ 2Ab
I don't think it's meaningful to prove by vector
The top and bottom of the trapezoid are 1 and 4 respectively. The length of the two diagonals is 3 and 4. What is the area of the trapezoid?
Make AC ‖ de
∴AC=DE=4
AD=CE=1
∴BE=5
So the area of trapezoid ABCD is equal to the area of triangle BDE
Because BD = 3
BE=5
De = 4 is the number of shares
So the area of triangle BDE = 1 / 2 * de * BD = 6
So the trapezoid area is 6
RELATED INFORMATIONS
- 1. When x is 1 / 2005,1 / 2004,1 / 2003.1/2002.1/2001.1/2000.200020012002200320042005 respectively, calculate the value of the algebraic formula X & sup2 / / 1 + X & sup2; and add the results, the sum of which is____ I know the answer is = 6. But could you please give me a process?
- 2. The fourth power of a - the square of a of 3, the square of B + the fourth power of B
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