As shown in the figure, in known triangle ABC, angle c = 90 degrees, ab = 10, BC = 6, AC = 8, P is the intersection of bisector of angle BAC and angle ABC, and the distance from point P to BC is calculated

The distance from P to BC is the radius of the inscribed circle. The radius of the inscribed circle is 24 / 12 = 2 when the area of the triangle ABC is divided by half of the circumference of the triangles

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1. Karnaugh map method reduces the function to the simplest and or expression F 2 (a, B, C, d) = ∑ m (0,1,2,4,5,9) + ∑ D (7,8,10,11,12,13). Please provide Karnaugh map
2. Finding the simplest and or and expression f (a, B, C, d) = ∑ m (0,2,7,13,15) + ∑ D (1,3,4,5,6,8,10) by Karnaugh map reduction
3. Using Karnaugh map to simplify L (a, B, C, d) = ∑ m (0,1,2,5,6,8,9,10,13,14)
4. Karnaugh map reduction f (a, B, C, d) = ∑ m (0, 2, 8, 9, 10, 11, 13, 15)
5. Karnaugh map reduction y (a, B, C, d) = ∑ m (0,13,14,15) + ∑ D (1,2,3,9,10,11)
6. Using Karnaugh map, the following functions are reduced to the simplest and one or expression f (a, B, C, d) = ∑ m (0,2,4,6,8,10) ..
7. Karnaugh map reduction f (a, B, C, d) = ∑ m (2,3,6,7,8,10,12,14), please draw Karnaugh map
8. Using Karnaugh map to simplify the following logic functions: Y (a, B, C, d) = ∑ m (2,3,5,7,8,9) + ∑ D (10,11,12,13,14,15) It can be mapped, but I hope the process can be more detailed,
9. Simplification of F (a, B, C, d) = ∑ (2,3,6,7,8,10,12,14) by Karnaugh map method
10. Given that the equation x minus 6x + q = 0 to the second power can be reduced to the form of (X-P) square = 7, then what can the square of X - 6x + P = 0 be reduced to
11. Given sin α + cos α = 1 / 5, π ≤ α ≤ 2 π, the value of Tan α is obtained
12. The perimeter of a rectangle is 20 cm. If its length and width are in whole centimeters, how many possible values of the area of the rectangle?
13. It is known that the left and right focal points of the ellipse x2a2 + y2b2 = 1 (a > b > 0) are F1 and F2 respectively. If there is an intersection p between the straight line with an inclination angle of 30 ° and the ellipse and the PF2 ⊥ X axis, then the eccentricity e of the ellipse is () A. 33B. 32C. 22D. 23
14. As shown in the figure, R1 = 10 Ω, R2 = 20 Ω, R3 = 30 Ω, the power supply voltage is constant, if the switch S1 is closed and S2 is open, the reading of the ammeter is 0.3A, find: (1) what is the power supply voltage? (2) When S1 and S2 are disconnected, what is the reading of the ammeter? (3) When S1 and S2 are closed, what is the reading of the ammeter?
15. For example, if y = 4sin (Πx / 8 + a) passes through point (6,0), then a cannot be calculated The set of all a satisfying the condition
16. As shown in the figure, the bottom side of the hexagonal prism is 5cm long and the side edge is 4cm long. Observe the model and answer the question 1. How many faces are there? What are their shapes? Which faces have the same shape and area? 2. How many edges are there? What are their lengths?
17. The circumference of a circle is 12.84 cm longer than its diameter. How many square centimeters is the area of this circle
18. If a sector with a radius of 15cm and a central angle of 216 degrees forms the side of the cone, then the height of the cone is? R can be calculated by R / 15 * 360 = 216 If a sector with a radius of 15cm and a central angle of 216 degrees surrounds the side of the cone, then the height of the cone is? R can be calculated by R / 15 * 360 = 216. Why can it be calculated in this way? If it is a formula, write the formula
19. Find the minimum value of the function y = 9 / sin ^ 2x + 4sin ^ 2x, multiply a + b > = 2 by the square root of ab Can't we find the minimum value of the function y = 9 / sin ^ 2x + 4sin ^ 2x and multiply a + b > = 2 by the square root of AB? The answer is to change y = 9 / sin ^ 2x + 4sin ^ 2x to 4 / sin ^ 2x + 4sin ^ 2x + 5 / sin ^ 2x Using the above formula, is it unnecessary to do so? And there is a difference between the two results? Which brother would you like to answer in detail Note: sin ^ 2x is the square of (SiNx)
20. How to use the idea of quadratic equation to find the minimum value of function y = (x ^ 2-2x + 6) / (x + 1), (x ≥ 0) We all know the solution of mean value inequality and derivative, but it is mentioned in the book that the minimum value of the function can also be obtained by using the discriminant of quadratic equation. How to solve it by using quadratic equation?