The hottest problem of 2013 was solved

Theoretical basis: In plane geometry, the width of a straight line is not specified. It cannot be assumed that what is narrow is a straight line, and what is wide is not a straight line.

There are still some problems with this answer, as the skull king upstairs said, drawing a very thick and thick thing from the upper right corner to the lower left corner, and then it becomes two triangles, which is impossible to solve according to strict theoretical knowledge.

In fact, a thick line can only be regarded as a straight line "image", not a straight line.

The watchtower lord thinks twice.

This kind of topic is nonsensical and ......The answer is to draw a very thick and thick thing from the top right corner to the bottom left corner, and then it becomes two triangles. This kind of problem is obviously not learned well in mathematics, and the basic concept is vague, you can check the encyclopedia: "A straight line is a basic concept in geometry, which is the trajectory of a point in space in the same or opposite direction."

Or defined as: the curve with the least curvature (arc with infinite radius of infinite length). It says that it is the trajectory of the point, and the point, according to the encyclopedia, is a zero-dimensional object with no size, so its trajectory has no thickness, and indeed the encyclopedia also talks about the characteristics of the straight line: "There is no endpoint, it can be extended infinitely to both ends, the length cannot be measured, and the width is infinitely close to 0, so it has no thickness."

So this question is nonsensical.

This question is a spoof, don't take it too seriously.

Supposedly, your method should be wrong, because the problem requires two triangles, and the third figure is not allowed, so it should be wrong. And there should be no correct way, which should be an unsolvable problem. But some friends upstairs may be able to tell you that the big thick line may work.

Hope it helps!

Then there is also a pentagonal on the left!

The straight line can be extended indefinitely, the left vertical edge can be extended, the right side can go up to a straight line, which is two triangles, or the left side can be extended and the top line can be folded over and connected to the added line.

I will tell you responsibly that this problem is wrong and there is no solution.

Draw a straight line horizontally in the middle of the diagram, and the diagram becomes two figures, a trapezoid on the top and a rectangle on the bottom! Isn't it easy to draw two triangles using the figure below, that is to say, to draw two triangles with a rectangle?!! Everyone should pay attention to the difference between a few words in this question!

The difference between a diagram and a graph! The difference between drawing and drawing! The person who came up with this question is actually quite remarkable!

You can't draw a stroke vertically, and you can't tell which one is the shape below! Can only be drawn horizontally!

This inscription says that adding a straight line divides the following figure into two triangles, which is not the original diagram, but the original diagram is a rectangle outside the pentagon. The positive solution is to connect the rectangles diagonally with straight lines, so that the pentagons in this problem are divided into two triangles, which is called dividing into.

Because it is a straight line, the straight line has an infinite extension, and then the two lines are extended, hooked into a rectangle, and when you look at it with a knife, there are two triangles!

The landlord's thinking is similar to that of a dull head.,,This is also a solution.。。

No, it's a super thick line drawn from the bottom left corner to the top right corner.

Isn't this question from the physical education teacher?

The teacher who came up with this question has a sick brain!!

Actually, that straight line is very thick!! Isn't it??

As an Olympiad problem, there is no solution, because a straight line has no thickness. Moreover, you can also prove that the diagram cannot be divided into two triangles from the angle of the sum of the internal angles. No matter who came out of it, even if it was a math master, it was not considered.

But, as a brain teaser, that is to draw a line that is thick enough. However, with a brain teaser and too many turns, people become stupid!

ps: Seeing that there are still many people who are concerned about this topic, I might as well say a few more words:

1.The definition of a straight line is not very clear, and there are two points emphasized when teaching primary school students: one is that it can be extended infinitely to both ends, which is no objection, and the other is that there is no thickness and emphasizes how thin and how thin it should be, and it is never how thick and thick it is!

Each different definition of a line corresponds to a different geometric system.

2.I also played brain teasers with a line thick enough: I accidentally drew a straight line as thick as the whole universe, oh my God, I'm standing on this straight line now, I can't see the sun, I can't see the earth, I'm going home, masters, help me.

That's right, this question tests thinking in disguise

How long has it been, upstairs is the right solution.

If the question is true.

Let the graph be

Then the inverse proposition of the proposition "two triangles are formed" is based on the proposition (well, I just looked at the diagram to get the condition), the figure is a pentagon, with two sets of sides parallel to each other, and three straight.

Horns, two obtuse angles.

then the two triangles must be RT

Since the largest in a triangle is a right angle, there is a blunt in .

angles, and the right angles of the two triangles must form the right angles in , then the acute angles of the two triangles must be combined into an acute angle to satisfy the question (1).

However, there are 3 right angles in , and the two triangles can only provide 2 right angles, so the remaining two acute angles of the two triangles must be stitched together into one right angle. （2）

Let one acute angle of the first triangle be x, and the other angle 90-x

Let one acute angle of the second triangle be y, then the other angle is 90-y

x y>180 from (1).

From (2) 90-x 90-y=180 is simplified to get x y=0, and the sum is x y>180

x y=0 has no solution to prove that "two triangles are formed" is a false proposition.

That is, it is impossible for two triangles to form

So a straight line can't split into two triangles.

Of course, a very thick straight line will work. Because there is no specified thickness for straight lines!

Now we can take a look at the very thick straight line, the straight line in the two-dimensional space is seen as a thin line in the three-dimensional space, because the two-dimensional space is just a surface, the unit can be regarded as 1, which can be defined as only x (length), y (width), so the straight line can only have x in the two-dimensional space, not y, but as you can see in the figure above, the very wide straight line produces y, but in the three-dimensional space, it is a three-dimensional space, and there is one more z (high), and the straight line has no thickness in the three-dimensional space, because no matter how you draw it, He has x (length) y (width) z (height), just like if you draw a direct line on a piece of paper, he has length, width and height in three-dimensional space, so the thick straight line above is not right in two-dimensional space, but it is correct in three-dimensional space, because in three-dimensional space a straight line can have length, width and height.

It depends on what dimension you are looking at.

The upper right and lower left are folded in half along the straight line drawn from the upper left and lower right, and two triangles appear.

I think the answer to this question should be like this:

Connect the longest diagonal, the side of the missing corner

Fold it to the left along the connected diagonal line, OK.

You know, it's not a printing problem, it's that you didn't review the question carefully, did you get shot? By the way, strongly despise the person who took a screenshot from the Olympiad paper. The screenshots are so blurry, obviously deliberately tricking people. The questions in the real test paper are only worthy of being primary school questions!

I think it should be like this, isn't there a missing angle in the diagram, let's find the answer from the missing angle, first find the vertex of the angle corresponding to the missing angle, then draw a straight line from the corner to the middle of the missing angle, and finally change the line segment of the missing angle to a right-angled side, and just like that, the two triangles are born.

Draw the straight line thicker, and the diameter of the straight line covers the shortest side to connect its opposite corners to form two triangles!

1.I don't think it's a 4th grade question.

2.I'm in 6th grade, and I can't do it either.

According to the theorem of straight lines, straight lines have no length, you can add a straight line, and then extend the original straight line.

It's so simple, a super thick line will do, and you can get anything ABX.

Such a thick straight line is just right, and many people mistakenly think that the straight line is a very thin straight line. In fact, the straight line has no width, and it is extended to two days without limit.

Those who draw a non-wide straight line. I'd like to ask you can define that face in vectors. So how do you define the infinite lines on it with vectors? Lines are inherently one-dimensional. You're just going to make it two-dimensional.

According to the definition of a straight line, a line has no width...

Solution, the fold is not right, and the formation of a large triangle is not right, because the sides are not equal in length.

Nima,Elementary school actually has such a problem against the sky.。。。

Although I have to admit that folding in half is a clever answer! I would like to say that people who don't even understand what a straight line is can go back to elementary school! Your math teacher is actually from the University of Physical Education.

The eldest brother on the first floor didn't learn mathematics well as soon as he saw it, and the original proposition and the inverse proposition were equivalent, not the inverse proposition. If the inverse proposition is a true proposition, the truth or falsehood of the original proposition cannot be determined. Another sentence is that you are taught math by your PE teacher?

According to the conditions of the question, only one straight line can be added, and the far figure is a pentagon, so the straight line can only be added outside the graph (added to the graph, two triangles share a line, there are 7 sides), but according to the original graphic wireframe there is no node outside the wireframe so it can not form a closed figure, so I don't understand, the bold line is not a straight line (the definition of a straight line is infinite extension, and there is no width) so I personally think that the answer is problematic, solve!

Draw a line on the left side of the diagram to form an RT, and then use the rotation translation to translate this RT rotation to the right side of the irregular quadrilateral, and it will form a large RT, and the smaller one is two RT. This is a primary school math Olympiad problem that can be rotated and translated.

Draw a line along the blue line, and then fold it in half, if you can solve this problem by drawing a line casually, why put it in the Olympiad problem, about the drawing of thick straight lines I just want to say "two points determine a straight line", in addition to the straight line is infinitely thin, so there is no width, not any width is a straight line.

A very thick straight line, this question seems to be asked by many people.

Well, you can draw a very thick line from the bottom left corner to the top right corner (note: the top right side of the polygon is the width of the line).

Chinese education is purple, the children have been ruined, and I really want to slap the teacher.

Open-minded, the answer is reasonable.

There is no size of the dot, no thickness of the line, no thickness of the surface!!

In mathematics, the definition of a straight line is that the width is equal to zero!!

Isn't this misleading to elementary school students? So how thick is it called "line"? Let's call it "noodles".

Seemingly-. -Draw it with a thicker noodle--. - That's it.

The answer inside is good! Reference:

This is the Olympiad.

It's a brain teaser.

I can't stand the current elementary school questions! Just use a thick line.

Use your thumb to block diagonally.

The straight line does not talk about the thickness, this question is not good, and it is easy to mislead children. It is suggested to change the question to what kind of figure to remove from the graph, and you can get two triangles.

Cut out a triangle in the lower right corner, put it together in that corner, and then form a new big triangle, and then you can divide it into two triangles as much as you want.

Nimani Mani Mani Mani Mani Mani Mani Ma.

So how do you tell the difference between lines and surfaces?

I don't think it's a valid question, it's like buying artificial eggs to hatch chicks.

Over the years, whenever the fallen leaves turn yellow, I still think of you, even if you don't want me, I can't forget the dependence and reliance you gave me.

Hurry up and shout to stop it. In the face of life, everyone has the obligation to save lives and help the wounded, and always promise to wait forever, ah escape from this crazy era.

Xiao Zhao lost to the customer: 20 yuan for the goods and 30 yuan for the supplement, a total of 50 yuan For Xiao Han, he lost: 50 yuan of real money and the remaining 20 yuan for a total of 30 yuan So Xiao Zhao lost 80 yuan.