If (x+2)2=(x+3)(x-3), then x = _ _ _ _ _ _ _ _ _
.
The top angle of an isosceles triangle is 400, and the degree of the bottom angle is _ _ _ _ _ _ _ _ _.
Given that points P 1(a- 1, 5) and P2(2, b- 1) are axisymmetrical about x, the value of (a+b)2005 is _ _ _ _ _ _ _ _.
It is known that △ABC is an equilateral triangle with a side length of 4, and P is the fixed point PQ⊥BC on AB in Q. If AP = X and CQ = Y, the functional relationship between Y and X is _ _ _ _ _ _ _ _ _.
It is known that p (x 1, y 1) and q (x2, y2) are two points when straight lines y=(2m+ 1)x+m and x 1.
Y2, then the value range of m is _ _ _ _ _ _ _ _
For long-distance calls from place A to place B, 2.4 yuan will be charged within 3 minutes, and after 3 minutes, 1 minute will be charged 1 yuan (less than 1 minute will be counted as 1 minute). Write it down.
Telephone fee y (yuan) and talk time t (t >; 3) Functional relationship (minimum)
The base of an isosceles triangle is 5 cm long. A midline divides a triangle into two parts, and the difference of its perimeter is _ _ _ _ _ _ _.
Answer supplement
1.rt △ in ABC ∠ C = 90, ① if A = 5, B = 12, then c = _ _ _ _② if A = 15, then C = 25, then b = _ _ _③ if c = 6.
2. In △ABC, AC= 17.
cm，BC=
10
cm，AB=9
Cm, this is a
Triangle (divided by angle)
3. The two right angles of a right triangle are 5 and 12 respectively, so the height on its hypotenuse is _ _ _ _ _.
4. On the calm lake, there is a red lotus, which is 1 m above the water level. A gust of wind blew, and the red-violet was blown aside, and the flowers were flush with the water. It is known that the horizontal distance of red lotus is 2 meters. What's the water depth here?
5. It is known that the lengths of the two line segments are 5cm and 12cm respectively. When the length of the third line segment is
Cm, these three line segments can form a right triangle.
6. There is a long 12.
Cm, with a width of 4.
Cm, height 3.
A cuboid iron box of centimeters, with a straight wire inside, the wire is as long as.
Centimeter.
7. There are two monkeys on a tree at the height of 10 meter. A monkey climbed down the tree and walked to the pond 20 meters away from the tree. The other monkey climbed to the top of the tree D and jumped directly into the pond A. The distance is calculated in a straight line. If two monkeys pass the same distance, the tree is _ _ _ _ _ _ _ meters high.
Answer supplement
1.
13
20
1 1
24
2.
Obtuse triangle
3.
13
4.
1.5m
5.
13 or
Root number 1 19
6. 13
7. 15
8. The ratio of three sides of a triangle is 5: 12: 13, and the circumference is 60cm. Find its area.
Answer: The lengths of the three sides of a triangle are:
60× =10cm
60×24 cm
60×26 cm
∵ 102+242=676=262
This triangle is a right triangle.
∴S=
× 10× 24 = 120cm2
9. Xiaoming wants to know the height of the school flagpole. He found that the rope at the top of the flagpole was 1 m from the ground. When he pulled the lower end of the rope away for 5 meters, he found that the lower end just touched the ground, so that he could find the height of the flagpole.
Solution: Let the height of the flagpole be x meters and the length of the rope be (x+ 1) meters. According to Pythagorean theorem, we can get:
x2+52=(x+ 1)2
Solution: x= 12
Therefore, the height of the flagpole is12m.
Answer supplement
It is known that the linear function image passes through two points (3, 5) and (-4, -9), (1) to find the resolution function. (2) If point (a, 2) is on these function images, find the value of a. 。
( 1).y=2x- 1
(2)，a=3/2
If the three sides A, B and C of a triangle satisfy ++(c- 10)2=0, try to judge whether the triangle is a right triangle.
If yes, please explain why.
23.a=8, b=6 and c= 10, so it is a right triangle.