Find the area of the figure enclosed by parabola y2 = 8x (Y > 0) and straight line x + y-6 = 0 and y = 0

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• 1. It is known that the surface area of a straight triangular prism whose base is an equilateral triangle is a square with side length of 3 Only know the side length of the triangle, then how to calculate the area of the triangle?
• 2. In the plane rectangular coordinate system xoy, point a is a point on the bisector of the first quadrant angle, the distance from point a to the x-axis is 2, a moving point on the positive half axis of the Y-axis of point B, the vertical line of line AB passing through point a intersects the positive half axis of X-axis at point C (1) Finding the coordinates of point a (2) If the coordinates of point B (0,1), find the length of line BC
• 3. Complete square formula (2) Note: the number after brackets is the power (2X+Y-3)2 (A+3B-2)(A-3B+2) (X+Y+1)(1-X-Y) [X+(Y+1)][X-(Y+1)] (3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)
• 4. 1 mm is equal to? Micron; 1 micron is equal to?;
• 5. In a hurry Given x ^ 2Y ^ 2-10xy + x ^ 2 + y ^ 2 + 16 = 0, find the value of x ^ 2 + y ^ 2
• 6. A = 25, B = - 3, try to determine the number of a to the power of 2008 + B to the power of 2008 Practical questions: It is known that the distance between the two places is 213 km. Xiao Wang and Xiao Zhang start from the two places and travel in opposite directions. Xiao Zhang's speed is more than twice that of Xiao Wang's speed by 0.5 km / h. suppose Xiao Wang's speed is v km / h. After 6 hours, how many km are Xiao Wang and Xiao Zhang apart? An engineering team loaded cement poles from the warehouse and transported them to the side of the road which is just 1000 meters away from the warehouse. It is required to plant one pole 50 meters ahead along the side of the road. It is known that the engineering vehicle can transport up to 4 poles, and it is required to complete the task of transporting 21 poles and return to the warehouse?
• 7. The following statement is wrong () A. The sign of the result of multiplication of two rational numbers and division of the two rational numbers B. When two rational numbers are divided, the sign of quotient is determined first, and then the absolute value of quotient is calculated C. If one of the two numbers is equal to 0, then their product and quotient are equal to 0 D. If two negative numbers are divided, the quotient must be greater than 0 Please explain the reason! Additional points will be given if the answer is complete Sorry, option a is short of two words, it should be (the symbol of the result is the same)
• 8. If one digit and two digits are allowed (do not change the order of the given numbers, and do not add + or - in front of some numbers), can we still get 10 if we regard two consecutive numbers as two digits? Please write two or more formulas and give the numbers as 2, 3, 4, 5, 6, 7, 8, 9
• 9. In order to promote the sale of a brand of air conditioner, a store decided to purchase the air conditioner on May Day in 2007. It can pay in two installments. When purchasing, it pays a sum of money in advance, and the rest and its interest (annual interest rate of 5.6%) will be paid before may day in 2008. The price of the air conditioner is 8224 yuan per unit. If the two payments are the same, how much yuan should be paid each time
• 10. 1. If A2 + ab-2b2 = 0 and B ≠ 0, find the value of (2a-b) / (2a + b) 2. A + B = 1, find the value of A3 + B3 + 3AB
• 11. 3. 4, 5, 5, 24
• 12. It is known that the functions Y1 = kx-2 and y2 = - 3x + B are relative to point a Given that the functions Y1 = kx-2 and y2 = - 3x + B intersect at point a (2, - 1) (1) Find the value of K and B and draw the image of two functions in the same coordinate system (2) Using the image to find out: when x takes what value, there are: ① Y1 The first question is the second and the third
• 13. How is addition, subtraction, multiplication and division equal to 24 Such as the title
• 14. Z = arctan (XY), and y = e ^ x, find DZ / dy
• 15. In Cartesian coordinates, the inclination angle of the line x + 3y-3 = 0 is () A. π6B. π3C. 5π6D. 2π3
• 16. The perimeter of a square is 12 cm. Put two such squares together into a rectangle. How many cm is the perimeter of the rectangle?
• 17. Given the function f (x) = 2sinxcosx-2cos ^ 2x, find the minimum positive period of the function. When x belongs to o, the value range of F (x) is 0,
• 18. A rectangular piece of paper, which is 10 cm long and 8 cm wide, is cut into the largest circle with its surface
• 19. How to calculate the indefinite integral of D / DX ln (x ^ 2 + 1), where a is 1b and E?
• 20. The decimal point of 9.20 is removed, and the integer is () times of the original, which is () more than the original