In RT △ ABC, the bisector of acute angle a intersects with the bisector of the adjacent complementary angle of acute angle B at point D, then ∠ ADB=______ Degree

If the size of acute angle ∠ A is x, then the adjacent complementary angle of acute angle ∠ ABC is 90 ° + X; then ∠ ADB = 180 ° - (x2 + 90 ° - x + 45 ° + x2) = 45 °

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1. How to deal with the problem that the equal sign can't be obtained when seeking the maximum value in the basic inequality Root XY ≥ 2 root 3 / 5 If and only if x = y = 2 radical 3 / 5, the minimum value of radical XY is 2 radical 3 / 5, At the same time, if 3x = 4Y (x ≠ y), what is the minimum value of root XY? Can only the above conditions be answered? If x, y satisfy x + 3Y = 5xy, then the minimum value of 3x + 4Y is?
2. The area of a triangle is equal to that of a square. The side length of the square is 12cm, the bottom of the triangle is 18cm, and its height is () cm
3. F (x) = LG (1 + 2 ^ x + 4 ^ XA) / 3, where a ∈ R, if f (x) is meaningful when x ∈ (- infinity, 1], find the value range of A
4. The bottom of a cone is 8 cm in diameter and 6 cm in height. It is filled with water. Pour all the water into the bottom. The area is 12.56 How many centimeters is the water depth in a square centimeter cylindrical container?
5. Given that 14a2 + 9b2 − a + 12b + 5 = 0, find the value of (a − 2) 2A2 − B2
6. A triangle cloth area is 120 square decimeters, the bottom is 30 decimeters, how many decimeters is the height
7. Are all odd numbers prime
8. A piece of iron sheet is 30 decimeters long and 23.4 decimeters wide. How many triangle signboards can you make if you use it to make a bottom of 9 decimeters and a height of 7.8 decimeters? How did you get it? How did you get it
9. As shown in the figure, point D is a point on the diameter CA extension line of ⊙ o, point B is on ⊙ o, and ab = ad = Ao. (1) prove that BD is the tangent of ⊙ o; (2) if point E is a point on inferior arc BC, AE and BC intersect at point F, and the area of △ bef is 8, cos ∠ BFA = 23, calculate the area of △ ACF
10. P is in the angle AOB. Points m and N are the symmetric points of point P about OA and ob respectively. The perimeter of triangle PEF is 15. Find the length of M and n
11. Simplification ratio Less difficult, no points
12. The radius of a circle is 4 decimeters, and its circumference is______ Decimeter, area is______ Square decimeter
13. Under what circumstances can both sides of the equation multiply or divide by an unknown number
14. In △ ABC, if the lengths of its three sides are 9, 12 and 15 respectively, then the area of the rectangle formed by two such triangles is______ ．
15. Can 98 × 96 / 97 be simplified?
16. a*0.01=(a-200)*0.25 For example, find the value of A a*c=(a-b)*0.25 Find a a*c=(a-b)*0.25 a*c=a*0.25-b*0.25 0.25*a-a*c=b*0.25 a*(0.25-c)=b*0.25 a=b*0.25/(0.25-c) I feel like it's wrong a×0.01=(a-200)×0.25 0.01a=0.25a-50 0.24a=50 a=625∕3 How does a = 625 / 3 625 come from, and how does 3 come from? a*c=(a-b)*0.25 ac=0.25a-0.25b (1-0.25)a=-0.25b-c 0.75a=0.25b-c A = (1 / 3) B - (4 / 3) C the French version of 123 According to the above formula, C = 0.01, B = 200, the result is a = 66.65 But the result is a = 208.33, which seems to be wrong
17. A = (0.0 ····· 025) 2000 zeros, B = 0. (0 ····· 0) 16 2001 zeros, try to find a + B, a-b.a · B.A divided by B
18. It is stipulated that * is a kind of operation symbol, a * b = B power of a, and 3 * 2 = ()
19. It is stipulated that * is an operation symbol, a * b = B power of a - a power of B, try to calculate 3 * 2
20. If we define a new operation "*" and a * b = B power of a - a power of B, then 4 * (3 * 2)?