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The first three numbers in a column are 1, 9, and each number after 9 is the remainder obtained by dividing the sum of the preceding three adjacent numbers by 3. What is the number 2009 in this column?
Find out the law of circulation
1. 9, 9, can be seen as: 1, 0, 0
So it can be written as:
1. 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, {1, 0, 0} (1, 0, 0 again)
The first 13 bits are seen as a cycle,
2009÷13＝154…… The remaining 7, the number of 2009 is: 1
What is the remainder of 8 divided by 26 in 1994
In short, a [n] = (10 * a [n-1] + 8)% 26, a [1] = 8. When there are 1,2,3,4. 8, the remainder is a cycle of 8,10,4,22,20,0
The perimeter of a rectangular playground is 200 meters. It is known that the ratio of its length and width is 3:2. Draw the playground on a drawing with a scale of 1:500,
How many centimeters should we draw the width?
Width = 200 ／ 2 ／ (3 + 2) × 2 = 40m
So draw it on the map
Length = 40 △ 500 = 0.08m = 8cm
Short humorous English stories
grandson:What are the birds doing in the tree?
gr andfather:They are sitting there.
grandson:But I can't see their chairs?
gr andfather:Oh...
Can 2012 be expressed as the sum of several squares? At least several
5 square + 9 square + 15 square + 17 square = 25 + 81 + 225 + 1681 = 2012
If a section of iron wire is used to form a right triangle with an area of 100, the minimum length of iron wire required is?
Just the results, thank you
When the triangle is an isosceles right triangle, the perimeter is the shortest under the same conditions
At this time, the two right angle sides = under the root sign (2 * 100) = 10 root sign 2
Hypotenuse = 10 radical 2 * radical 2 = 20
Perimeter = 2 * 10 radical 2 + 20 ≈ 48.28
For an axisymmetric figure, there is a point a on the left side of its axis of symmetry, and the distance between it and the axis of symmetry is 2.5cm
Full question: for an axisymmetric figure, there is a point a on the left side of its axis of symmetry, and the distance between the point a and the axis of symmetry is 2.5cm. Then, the point a symmetrical with it is on the () side of the axis of symmetry, and the distance between the point a and the axis of symmetry is () cm
Full question: for an axisymmetric figure, there is a point a on the left side of its axis of symmetry, and the distance from the axis of symmetry is 2.5cm. Then, the point a 'symmetrical with it is on the (right) side of the axis of symmetry, and the distance from the axis of symmetry is (2.5cm)
Two circles X & # 178; + Y & # 178; + 2aX + A & # 178; - 4 = 0 and X & # 178; + Y & # 178; - 4by-1 + 4B & # 178; = 0 have exactly three common tangents,
If a ∈ R, B ∈ R, and ab ≠ 0, then what is the minimum value of 1 / A & # 178; + 1 / B & # 178
Two circles have three common tangent lines, which indicates that their position relationship is circumscribed, so the distance between the centers of two circles is the sum of the radii of two circles. According to the standard equation of circles, it is easy to get that their centers are (- A, 0) and (0,2 * B), and the radii are 2 and 1 respectively. According to the distance formula between two points, a ^ 2 + 4 * B ^ 2 = (2 + 1) ^ 2 = 9, then (a ^ 2 + 4 * B ^ 2) (1 / A & # 178; + 1 / b & # 178; a ^ 2 + 4 * B ^ 2) (1 / A & # 178; a ^ 2 + 4 * B ^ 2 = (2 + 4 * B ^ 2); ）= 9 * (1 / A ^ 2 + 1 / b ^ 2) = 1 + 4 + 4 * B ^ 2 / A ^ 2 + A ^ 2 / b ^ 2 > = 1 + 4 + 2 * 4 ^ (1 / 2) = 9 if and only if a ^ 4 = 9 * B ^ 4, then 1 / A ^ 2 + 1 / b ^ 2 > = 1. The answer is 1
Given a (2, - 5,1) B (2, - 2,4) C (1, - 4,1), then the angle between ab vector and AC vector is?
Vector AB = (0,3,3), vector AC = (- 1,1,0),
|AB|=3√2,|AC|=√2,
Cos< AB,AC>= AB•AC/(|AB||AC|)=3/(3√2•√2)=1/2.
< AB,AC>=60°.
Known: as shown in the figure, in △ ABC, points D, e and F are the points on BC, AB and AC respectively, AF ‖ ed, and AF = ed, extending FD to point G is DG = FD
Verification: ED and Ag are equally divided
∵DE∥AF,DE=AF,
A quadrilateral is a parallelogram,
And AE = DF,
∵DG=DF,
∴AE∥DG,AE=DG,
A quadrilateral adge is a parallelogram,
The de and Ag are equally divided
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