1. If three line segments a, B and C satisfy that the square of a + the square of C = the square of B, the triangle formed by these three line segments is () 2. In a right triangle, if the sum and difference between the hypotenuse and the smaller right side are 8 and 2 respectively, the length of the longer right side is () 3. For a board with triangle angles, if the sum of the squares of the three sides is 1800 square centimeters, the length of the inclined side is () It's better to write down the process of solving the problem

1. If three line segments a, B and C satisfy that the square of a + the square of C = the square of B, the triangle formed by these three line segments is () 2. In a right triangle, if the sum and difference between the hypotenuse and the smaller right side are 8 and 2 respectively, the length of the longer right side is () 3. For a board with triangle angles, if the sum of the squares of the three sides is 1800 square centimeters, the length of the inclined side is () It's better to write down the process of solving the problem


1. Right triangle
2. Let y be the short right angle side and X be the hypotenuse side
So: X-Y = 2; X + y = 8
So x = 3, y = 5
According to Pythagorean theorem, the other right angle side is 4
3. Let two right angles be x and y, and the sum of squares of hypotenuse be a
Then the sum of squares of hypotenuse is a = x ^ 2 + y ^ 2
So the sum of squares of three sides = a + x ^ 2 + y ^ 2 = 2A = 1800
So a = x ^ 2 + y ^ 2 = 900
So hypotenuse = 30



(1) What ___ you do at the party?
We ___ songs and ___ games.
Sounds like you ___ a wonderful time.
Yes,we ___ very happy.
(2) ___ ___ ___ do last week?
I ___ to Guangzhou to ___ a dragon boat race.
How did you ___ there?
I went there ___ ___ .


1 did
sang ,played
had
were/ felt
2 What did you
went ,watch
get
By bus / train / plane
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Ask junior high school math questions
A total of 135 cars have been parked at station a and station B. if there are 36 cars from station a to station B and 45 cars from station B to station a, the number of cars parked at station B is 1.5 times of that at station A. how many cars have been parked at station a and station B?
also
There are two piles of pieces, one pile is larger than the other pile. First move the pieces according to the following methods:
For the first time, take out as many pieces from pile a and put them into pile B. for the second time, take out as many pieces from pile B and put them into pile a
After moving three times in this way, the number of pieces in pile a and pile B is exactly 32. How many pieces are there in each pile?
Please answer: (1) what kind of practical questions do the above two questions belong to?
(2) The answer and steps of the second question
I kneel down to beg! You master to answer it quickly! Good plus reward!


(1) This is a problem of binary linear equations. If x cars stop at station a and Y cars stop at station B, then there are two unknowns x + y = 135 (x-36 + 45) * 1.5 = (y + 36-45). You can solve the two equations by yourself. (2) it is also a problem of binary linear equations



calculation:
The square of (3MN + 1) (3mn-1) - (2mn-1)
How to calculate?


The original formula = (3MN) & sup2; - 1 & sup2; - (4m & sup2; n & sup2; - 4Mn + 1)
=9m²n²-1-4m²n²+4mn-1
=5m²n²+4mn-2



It is known that a, B and C are the three sides of △ ABC respectively, and B and C satisfy (b-2) & sup2; + | C-3 | = 0, and a satisfies | A-4 | = 2. ① find the perimeter of △ ABC; ② judge △ ab


(b-2)²+|c-3|=0
(b-2)²=0,|c-3|=0
b=2,c=3
|a-4|=2
A-4 = 2 or A-4 = - 2
A = 6 or a = 2
When a = 6, B + Ca can form a triangle
So the perimeter of △ ABC = a + B + C = 2 + 2 + 3 = 7
ABC is an isosceles triangle



What imagination of the future





Tianfu mathematics 2009 issue 10 high school one synchronization (Part 2) 111-114, 123-126, 127-130 answers!
I want answers on pages 111-114, 123-126, 127-130. If you can give one of them, you can give the whole score


Find a classmate's copy. Typing is too difficult



On the plan with scale of 1:10000, the actual distance is 100 meters, and on the plan ()


100 times one oooo, that's it!



Famous sayings of Chinese mathematicians


As time goes by, you can see your merits, but when you are at the end of your life, you can cherish your Yin. -- Hua Luogeng
Although Jincheng is happy, it's better to go back to hometown; although paradise is good, it's not a place to stay for a long time. Come back
Genius is accumulated, and cleverness lies in diligence
Time is a constant. One day is a waste of 24 hours
Climbing the peak of science is like climbing Mount Everest. To overcome numerous difficulties, cowards and lazy people can not enjoy the joy and happiness of victory
Mathematics is a deductive science, from a set of postulates, through logical reasoning, to get a conclusion
Wang Juzhen, a Chinese scientist, has a saying about the failure of the experiment, which is called "if we continue to work, there is still 50% hope of success, otherwise, there will be 100% failure."
Hua Luogeng, a famous mathematician in China, pointed out when talking about learning and exploration: "in learning, we should dare to do subtraction, that is, subtracting the parts that have been solved by our predecessors. We need to explore and solve those problems that have not been solved."
As time goes by, you can see your merits, but when you are at the end of your life, you can cherish your Yin. -- Hua Luogeng
Although Jincheng is happy, it's better to go back to hometown; although paradise is good, it's not a place to stay for a long time. Come back
Genius is accumulated, and cleverness lies in diligence
Time is a constant. One day is a waste of 24 hours
Climbing the peak of science is like climbing Mount Everest. To overcome numerous difficulties, cowards and lazy people can not enjoy the joy and happiness of victory
Mathematics is a deductive science, from a set of postulates, through logical reasoning, to get a conclusion
The number of tardy sequence is not a trance. It can be detected in form, and it can be inferred in number



A, B, C and d need 1, 2 and 5 to cross the bridge. Because it's dark, they have to use a flashlight to cross the bridge, but there is only one flashlight in total
In addition, the load capacity of the bridge is limited, so it can only bear the weight of two people, that is to say, it can pass two people at most at a time. How can we make them all cross the bridge in the shortest time? How many minutes does it take? (flashlight should be considered)


Analysis: it's easy for everyone to think that it's time-saving to match a and B, and C and D. they only have one flashlight, and they can only pass two people at a time, so every time after crossing the bridge, one person has to return to deliver the flashlight