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The following propositions: 1. In an isosceles triangle, the distance from any point on the center line of the bottom edge to the two waists is equal 2. In an isosceles triangle, the distance from the intersection of the bisectors of the two base angles to both sides is equal 3. The distance from the intersection of the corner to both sides of the corner is equal The distance of the above three propositions refers to the vertical distance! 4. The distance from the intersection of the vertical bisector to both ends of the segment is equal This distance does not refer to the vertical handle! When is the distance in mathematics vertical and when is it not vertical? Is there a distinction? Inference can be used as a theorem, such as the determination of congruence of triangles AAS
1. 2. 3: the distance from point to line refers to the shortest distance, that is, the vertical distance. Your understanding is correct
4: This refers to the distance from point to point. There is no concept of "vertical"
Problem 1: the distance from point to line is vertical
Problem 2: inference is the extension of the theorem on the basis of logical correctness, that is, the theorem can be pushed back from inference, so it can be used
How to understand difficult mathematical concepts?
My method is a combination of graphics and text, such as derivative, which is derived from kinematics in the book, but I think it is better to understand this way: the geometric meaning of derivative is the tangent slope of the function curve at this point. (sorry, the graphics can't be inserted). This can be expressed intuitively and easy to understand. Good luck
A master of mathematics. Who knows what's wrong. Explain Suppose a = 0.999999... (infinite circular decimal) 10a=9.9999999…… 9a+a=9+0.99999999…… 9a=9 a=1 How can 0.999999... Be equal to 1? What's wrong?
Hehe... I'll give you another similar one: 1 ÷ 3 = 0.3333333... 0.33333 × 3 = 0.999999... And 1 ÷ 3 = 1 / 31 / 3 × 3 = 1 ≠ 0.999999... = 1 this is a problem about limit. The proof is as follows: 0.99999... Can be regarded as 0.9 + 0.09 + 0.009 +..., that is, a first term is 0.9 and the common ratio is 0
Master, please! How to understand mathematical materials?
Math material? Textbooks? Look at the derivation method of the formula, and then look at the following examples. I think this is more important. Others depend on your own understanding. If you don't understand, you must ask teachers and students more
The meaning and representation of mathematical sets 1. The elements in set a = {(3,5)} and B = {(5,3)} are the same. Why is it wrong? 2 set {x} x ²+ 5x + 6 = 0} and set {x} ²+ 5x + 6 = 0} what's wrong with set bits containing the same elements? Set {x} x ²+ 5x + 6 = 0} and set {x} ²+ What does 5x + 6 = 0} mean?
1 the elements in sets a and B are two different points on the plane: one is (3,5) and the other is (5,3), so the two sets are different
2 the element of the first set is the solution of the equation, and the element of the second set is the equation, so the formula is different
I want to know an easy to understand explanation! The title is: Three people went to the hotel to stay. They paid 30 yuan for the room and 10 yuan for each person. Then the boss found that they charged 5 yuan more, so he gave the waiter 5 yuan and asked him to return it to the three people. As a result, the waiter secretly deducted 2 yuan and only returned three yuan to the three people. In this way, the three people paid a total of 3 * (10-1) = 27 yuan, plus 2 yuan deducted by the waiter, 27 + 3 = 29 yuan! At the beginning, I took out 30 yuan. Why did one yuan disappear? How did it disappear? Who owns that dollar! Everyone can see that the calculation is wrong, but every time I say the reason, I feel dizzy and vague. I want an easy to understand answer and explanation
''In this way, the three people paid a total of 3 * (10-1) = 27 yuan, plus 2 yuan deducted by the waiter, 27 + 3 = 29 yuan' '
The following sentence is misleading. 30-5 = 25, the room price for three is 25, plus 1 yuan 25 + 3 = 28 given by each person, plus 2 yuan 28 + 2 = 30 deducted by the waiter
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