There are several ways to make a big rectangle out of 60 squares of the same size

There are 12 answers to this question. They are 123456101215203060. Among them, 1 and 602 and 303 and 20. 6 and 10 are repeated rectangles, so there are only six spelling methods

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1. Rotate the line y = root 3x around the origin by 30 ° counterclockwise, and what is the inclination angle a = of the line
2. XY ^ 4 + YZ ^ 4 + ZX ^ 4-xz ^ 4-yx ^ 4-zy ^ 4 factorization I've seen three factors (X-Y) (Y-Z) (z-x) What's next?
3. The last digit of the result of formula 1991 * 1993 * 1995 * 1999-1992 * 1994 * 1996 * 1998 is -? The last digit of the result of 1991 * 1993 * 1995 * 1999-1992 * 1994 * 1996 * 1998 is -?
4. As shown in the figure, in the plane rectangular coordinate system, the quadrilateral ABCD is an isosceles trapezoid, where the coordinate of point B is (- 1,0), and point a is seated
5. If the points corresponding to complex numbers 3 + I and 2 + 3I in the complex plane are p and Q respectively, the complex number corresponding to vector PQ is () A. 5+4iB. 1-2iC. -1+2iD. 1+2i
6. Is it wrong or correct that the complex number represented by a vector remains unchanged after the translation of the vector? For example, I read a sentence in a book that "no matter where the vector is translated, the complex number it represents is the same". I don't understand it. For example, the complex number represented by the vector (1,1) is 1 + I. after the vector is translated 2 units along the X axis, the complex number it represents should be 3 + I. how can it remain unchanged?
7. Rotate the vector corresponding to the complex z = 2-I 90 degrees counter clockwise, what is the corresponding complex number In addition, tell me the vector corresponding to the complex z = 2-I
8. A sufficient and necessary condition for Z ∈ R is that z = Z conjugate? Right? And a sufficient and necessary condition for Z to be an imaginary number is that Z + Z conjugate belongs to R pair RT
9. If Z is an imaginary number and (Z-2) / (Z & sup2; + 1) belongs to R, find the locus of the point corresponding to Z in the complex plane
10. The complex number is known as Z = sin θ + (2-cos ^ 2 θ) I, 0 ≤ θ 1. The complex number is known as Z = sin θ + (2-cos ^ 2 θ) I, 0 ≤ θ
11. What is the period of y = 2Sin Λ X-1? Odd function or even function?
12. On the round dining table with a diameter of 2 meters and a height of 1 meter, a square tablecloth is laid. The four corners of the tablecloth just touch the ground. The area of this tablecloth is () square meter.
13. Calculation of anomalous integral: ∫ (1,2) 1 / [x (LNX) ^ 2] DX= Where 1 is the lower limit and 2 is the upper limit,
14. A bathroom is 1.8 meters long and 1.44 meters wide. Now we need to lay square tiles on the bathroom floor. How many centimeters is the maximum side length of square tiles?
15. Let the population x ~ U (0, θ), x1, X2, ···, xn be a sample taken from the population, and x0 be the average number of samples (1) It is proved that θ 1 = 2x0, θ 2 = (n + 1) / N. x (n) is an unbiased estimate of θ (where x (n) = max {x1, X2, ···, xn}); (2) Which one of theta 1 and theta 2 is more effective (n ≥ 2)?
16. A square steel plate, 9 / 8 meters in circumference, its area is () square decimeters
17. If the sequence {xn} satisfies lgxn + 1 = 1 + lgxn and X1 + x2 + +If X100 = 100, LG (X101 + X102 +...) +x200）=（　　） A. 102B. 100C. 1000D. 101
18. After the circle is cut into an approximate rectangle, the perimeter is increased by 8 cm, and the perimeter and area of the circle are calculated
19. Sine function y = SiNx, when the maximum value is y = 1, x = when the minimum value is y = - 1 Sine function y = SiNx, when the maximum value is y = 1, x = when the minimum value is y = - 1, X=
20. As shown in the figure, the perimeter of rectangle ABCD is 20cm. Take AB and ad as the sides, make square abef and square adgh outwards. If the sum of square abef and adgh area is 68cm2, then the area of rectangle ABCD is () A. 21cm2B. 16cm2C. 24cm2D. 9cm2