In the first semester of grade 6, we enter the New Curriculum Mathematics 4 = 2 + 2; 6 = 3 + 3; 8 = 3 + 5; 9 = 2 + 7; 10 = 3 + 7; 12 = 5 + 7 question: 14 =?; 100 =?, law

In the first semester of grade 6, we enter the New Curriculum Mathematics 4 = 2 + 2; 6 = 3 + 3; 8 = 3 + 5; 9 = 2 + 7; 10 = 3 + 7; 12 = 5 + 7 question: 14 =?; 100 =?, law


For example, 4 = 2 + 2; 6 = 3 + 3; 8 = 3 + 5; 9 = 2 + 7; 10 = 3 + 7; 12 = 5 + 7
It means that any positive integer greater than 4 can find the sum of two prime numbers to represent it
So, 14 = 3 + 11 (where 3 and 11 are prime numbers);
100 = 83 + 17 (where 83 and 17 are prime numbers)



New curriculum standard Zhejiang Edition
The second problem of p48 is to solve the third question. In △ ABC, ab = AC, and the perimeter is 16cm. The central line BD on the side of AC divides △ ABC into two triangles with the perimeter difference of 4cm, and calculates the length of each side of △ ABC
Urgent, urgent!


The center line BD on the side of AC divides △ ABC into two triangles with a circumference difference of 4cm, that is, ab-bc = + - 4cm
From the meaning of the question: 2Ab + BC = 16cm, the sum of the two equations is ab = 20 / 3 or 4cm, BC = 8 / 3 or 8cm



Calculation by simple method: - 3.14 × 35.2 + 6.28 × (- 23.3) - 1.57 × 36.4=______ .


The original formula = - 3.14 × 35.2 + 3.14 × (- 46.6) - 3.14 × 18.2 = - 3.14 (35.2 + 46.6 + 18.2) = - 3.14 × 100 = - 314



In a right triangle, the sum of the squares of the two sides is equal to the square of the third side
In a right triangle, the sum of squares of two sides is equal to the square of the third side. B. if the difference between the sum of squares of two sides in a triangle is equal to the square of the third side, then the triangle is not a right triangle. C. in the triangle ABC, the opposite sides of angle a, angle B, and angle c are a, B, and C, respectively, Because the square of 2 plus the square of 3 is not equal to the square of 4, a triangle with 2,3,4 sides is not a right triangle


In the following statement, the correct one is (d)
A. In a right triangle, the sum of the squares of the two sides is equal to the square of the third side
B. If the difference between the sum of squares of two sides of a triangle is equal to the square of the third side, then the triangle is not a right triangle
C. In the triangle ABC, the opposite sides of angle a, angle B and angle c are a, B and C respectively. If C minus a equals B, then angle B equals 90 degrees
D. Because the square of 2 plus the square of 3 is not equal to the square of 4, a triangle with 2,3,4 sides is not a right triangle



There are several triangles. Among all the internal angles, there are 5 right angles, 3 obtuse angles and 25 acute angles. Then the number of acute angle triangles in these triangles is ()
A. 3b. 4 or 5C. 6 or 7d. 8


From the meaning of the question, it can be concluded that: for several triangles, when there are 5 right angles, 3 obtuse angles and 25 acute angles in all the internal angles, there are a total of 33 △ 3 = 11 triangles; for triangles, there is at most one right angle or at most one obtuse angle; obviously, there are 5 right angles and 3 obtuse angles in 11 triangles; therefore, there are 11-5-3 = 3 acute angle triangles



There are several triangles. Among all the internal angles, there are six right angles, two obtuse angles and twenty-five acute angles. How many right angles? How many acute angles? Thank you
How do you calculate that?


A total of 6 + 2 + 25 = 33 angles, indicating that there are 11 triangles
There are six right angles, so there are six right triangles
Two obtuse angles indicate that there are two obtuse triangles
So, 11-6-2 = 3
It is known that there are three acute triangles



There are several triangles. Among all the internal angles, there are 24 acute angles, 4 right angles and 2 obtuse angles
Please tell me, because so


“asdyayaing”:
There are four right triangles, including four right angles and eight acute angles
There are two obtuse triangles, including two obtuse angles and four acute angles
There are four acute triangles, of which there are 12
There are four right angles, two obtuse angles and 24 acute angles
Are you right? Good luck. Goodbye



Of the three internal angles of a triangle, there is at most one______ An obtuse angle______ It's a right angle______ There is an acute angle


Among the three internal angles of a triangle, there is at most one obtuse angle, one right angle and three acute angles



If the sum of two internal angles in a triangle is acute, then the triangle must be obtuse
Right or wrong,


Exactly
Because the sum of internal angles of a triangle is equal to 180 degrees, the sum of two internal angles in a triangle is an acute angle, so there must be an obtuse angle, so the triangle must be an obtuse angle triangle



What are the ranges of the maximum internal angle α of an acute triangle and the maximum angle β of an obtuse triangle?
Please explain, thank you


The range of the maximum internal angle α of an acute triangle: [60 ° and 90 °)
The range of maximum angle β of obtuse triangle (90 ° and 180 °)