What is the period of y = 2Sin Λ X-1? Odd function or even function?

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• 1. There are several ways to make a big rectangle out of 60 squares of the same size
• 2. Rotate the line y = root 3x around the origin by 30 ° counterclockwise, and what is the inclination angle a = of the line
• 3. 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?
• 4. 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 -?
• 5. 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
• 6. 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
• 7. 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?
• 8. 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
• 9. 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
• 10. 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
• 11. 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.
• 12. Calculation of anomalous integral: ∫ (1,2) 1 / [x (LNX) ^ 2] DX= Where 1 is the lower limit and 2 is the upper limit,
• 13. 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?
• 14. 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)?
• 15. A square steel plate, 9 / 8 meters in circumference, its area is () square decimeters
• 16. If the sequence {xn} satisfies lgxn + 1 = 1 + lgxn and X1 + x2 + +If X100 = 100, LG (X101 + X102 +...) +x200）=（　　） A. 102B. 100C. 1000D. 101
• 17. 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
• 18. 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=
• 19. 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
• 20. Some problems of physical atmospheric pressure in the second year of junior high school 1. Insert the straw into the bottle filled with water and suck the straw with your mouth. Can you suck the incoming water? Why? 2. Pour some hot water into the bottle, pour out the hot water, and then quickly close the cap. Why is the bottle shriveled? 3. After boiling water, the flask is fixed on the iron platform, and the peeled quail eggs are quickly put into the bottle mouth. You can see the quail eggs from the bottle mouth under the action of () thank you!