Cut the largest circle with a rectangular piece of paper 10 cm long and 8 cm wide, The radius of this circle is () cm, the perimeter is (), and the area is ()
The radius of this circle is (4) cm, the perimeter is (25.12 cm), and the area is (50.24 square cm)
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- 1. Given the function f (x) = 2cos (π 3 − x2) (1) find the monotone increasing interval of F (x); & nbsp; (2) find the maximum and minimum of F (x) if x ∈ [- π, π]
- 2. It is proved that f (x) = - 1 / X-1 is an increasing function on (- OO, 0)
- 3. This problem proves that the function f (x) = the square of X + 1 is a function on (0, + OO) + OO is positive infinity
- 4. The odd function y = f (x) defined on R, given that y = f (x) has three zeros in the interval (0, + ∞), then the number of zeros of function y = f (x) on R is () A. 5B. 6C. 7D. 8
- 5. If f (x) is an odd function defined on R and f (2) = 0, then the zeros of y = f (x) are common___ How many?
- 6. Let f (x) = {1-x, X
- 7. Let f (x) = e * X The * on the E * should be replaced by * if x can't be typed
- 8. Is there any relationship between the existence of limit of function at x point and the continuity of function at x point and the uniform continuity of function at x point?
- 9. When x → x0, limf (x) and limg (x) = ∞, then why is limf (x) + G (x) = ∞ wrong when x → x0?
- 10. It is known that the two zeros of the function f (x) = AX2 + (B-8) x-a-ab are - 3 and 2 respectively. (I) find f (x); (II) find the range of F (x) when the domain of F (x) is [0,1]
- 11. The definite integral ln (x + (a ^ 2 + x ^ 2) ^ (1 / 2)) DX ranges from 0 to a
- 12. The teacher's kitchen is 30 decimeters long and 24 decimeters wide Would you please help me to think about it, how many decimeters of square tiles are needed to make it neat and fast?
- 13. Given that the average of (x1, X2, X3. Xn) is a, what is the average of (3x1 + 2,3x2 + 2.3xn + 2)?
- 14. A rectangle is 80 cm long. Cut out the largest square. Find the perimeter of the remaining figure
- 15. Given that a, x1, X2 and B are equal difference sequence, a, Y1, Y2 and B are equal ratio sequence, find (x1 + x2) / (y1y2) Such as the title The answer is (a + b) / (AB)?
- 16. Whether the radius and area of a circle are in direct proportion; whether the side length and perimeter of a square are in direct proportion;
- 17. Find the limit of LIM [sin (x ^ 2-1)] / (x-1) x tending to 1
- 18. Find the proof limit LIM (x, y) - > (0,0) (x ^ 2 * sin ^ 2Y) / x ^ 2 + 9y ^ 2 = 0 If the problem is solved, prove that the limit = 0
- 19. The limit LIM (x ^ 2Y ^ 2) / x ^ 2 + y ^ 2 + (X-Y) ^ 2 (x, y) tends to 0
- 20. Find the limit LIM (x, y) → (0,0) x ^ 2Y ^ 2 / (x ^ 2 + y ^ 2) ^ (3 / 2) With the pinch theorem, why can't we use x ^ 2 + y ^ 2 > 2XY