Write down the 1996 natural numbers from 1 to 1996, and get a multi digit number 123456789101112 199419951996, then the remainder of this number divided by 9 is______ ．

Write down the 1996 natural numbers from 1 to 1996, and get a multi digit number 123456789101112 199419951996, then the remainder of this number divided by 9 is______ ．

The 2000 numbers from 0 to 1999 are divided into the following 1000 groups: (01999), (11998), (21997) (9981001), (9991000); the sum of the two numbers in each group above is 1999, and the sum of the two numbers has no carry, so the sum of all the numbers from 1 to 1999 is: (1 + 9

As shown in the figure, the radii of the two concentric circles with o as the center are 5 and 3 respectively. If the chord ab of the big circle intersects the small circle at points c and D, then the value range of chord AB is the same
Draw a big circle and a small circle. A straight line intersects two circles,

When the chord AB and the small circle are tangent to P, that is, there is only one common point, connecting Po and Ao, PA = 1 / 2 * AB = sqrt (5 & sup2; - 3 & sup2;) = 4, then AB = 8, so when AB > 8, it will intersect with the small circle at two points
The maximum value of AB is, of course, when AB is the diameter of a large circle, then AB = 10
So the value range of AB is 8 < ab ≤ 10

Using factorization to calculate 3.14 ^ 2 + 0.86 ^ 2 + 6.28 * 0.86

3.14^2+0.86^2+6.28*0.86
=3.14^2+0.86^2+2*3.14*0.86
=（3.14+0.86）²
=4²
=16
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As shown in the picture, BE.CE It is the height of △ ABC. The two heights intersect at point O, ∠ BOC = 130 ° to find the degree of ∠ a

Two high should be be, cf
The sum of the internal angles of the quadrilateral is 360 °, and ∠ a + ∠ foe + ∠ AFO + ∠ AEO = 360 °,
BE.CF Is the height of △ ABC, ∠ AFO = ∠ AEO = 90 °,
The values of ∠ foe and ∠ BOC are opposite to each other, and the values are the same ∠ foe = ∠ BOC = 130 degree
So ∠ a = 360 ° - 90 ° - 90 ° - 130 ° = 50 °

12.8x10.5 divided by 7 simple method 0.7 divided by 1.25 simple method how to do
A simple method of dividing 12.8x10.5 by 7
How to divide 0.7 by 1.25

12.8x10.5÷7
=12.8x（10.5÷7）
=12.8×1.5
=19.2
0.7÷1.25
=0.7×8÷（1.25×8）
=5.6÷10
=0.56

Are the values of upper triangular determinant and lower triangular determinant multiplied by diagonal elements?

A determinant whose elements below (above) the main diagonal are all 0 is called an upper (lower) triangular determinant,
D=a11a22...ann
You are right

How much is 15 divided by 100 divided by 1.5 times 100%? How to calculate?

=0.15÷1.5×100%
=0.1×100%
=10%

It is proved by limit that LIM (SiN x) = sin x0 when x tends to x0

Using Taylor formula to expand SiNx in finding limit

33 * 0.5 * 0.4 calculation
33*0.5*0.4
2.33*0.5*0.4

2.33*0.5*0.4 =2.33*0.2 =0.466

From the secant ABC of a (4,0) leading circle x 2 + y 2 = 4, the trajectory equation of midpoint P of chord BC is obtained

Method 1: let P (x, y) be connected with OP, then op ⊥ BC (2) when x ≠ 0, Kop · KAP = - 1, that is, YX · YX − 4 = - 1, that is, X2 + y2-4x = 0 (8) when x = 0, the coordinates of point P (0, 0) are the solution of the equation (★) (12 points) BC point P of