Thinking Logic Problems Everybody help

This is a classic visual deception question**, why do two triangles have the same area? In fact, it is a visual illusion, because the slope of the hypotenuse of the two triangles is not the same, and it is not a straight line, which creates such an incredible illusion. Below**Analysis.

This is just a visual rendering. Removing the squares won't be like this.

Wait for us to uncover its true colors!

To put it simply, the "hypotenuse" of the upper and lower "triangles" is a polyline composed of two straight lines. The blank space is the sum of these subtle vacancies.

If the base edge is 13 and the height is 5, then the area of the true triangle should be 13 5 2

In the graph, the area of yellow is 7

The area of the triangle of blue is 5

The area of the green knife is 8

The area of red is 12

Then the sum of the areas of the above graph is 7 5 8 12 32

The sum of the areas in the graph below is 7 5 8 12 1 33

So neither figure is really a triangle.

They also have different slopes, which means that the hypotenuse of the triangle is not 1 straight line.

The red ones are 3:8 and 6:16

The blue ones are 2:5 and 6:15

The landlord can zoom in on the **, and you will find that the hypotenuse of the triangle that actually has no space is not a straight line.

The slope of the hypotenuse of the red and cyan triangles is not the same, looking at the length of the right-angled side, one is 5:2 and the other is 13:5, which means that this large figure is not a triangle, and its "hypotenuse" is actually a polyline.

If you overlap the two figures, you will find that the "hypotenuse" of the lower figure is convex, and the upper one is concave, and the area of the gap between them is exactly 1 block.

Hoho, I've been studying this diagram for a long time.

To put it simply, these two are not triangles, so it is not right for you to use the formula for calculating the area of the triangle.

The long sides of these two "triangles" are not straight lines, the top one is concave and the bottom one is convex. So the area above is smaller than the area below.

The sixth question is, hold the diamond from the first floor, and then change the big diamond when you see it on each floor, and don't change the smaller one than your hand, until the tenth floor, you have the largest diamond in your hand.

The seventh question of the landlord is not right, Bono needs to spend 1 minute to cross the bridge, Edge needs to spend 2 minutes to cross the bridge, Adam needs to spend 5 minutes to cross the bridge, Larry needs to spend 10 minutes to cross the bridge, Bono, Edge to cross the bridge first, 2 points, Edge back, 2 points, Adam, Larry to cross the bridge, 10 points, Bono back, 1 point, Bono, Edge to cross the bridge, 2 points. A total of 17 points.

The third question should be 29 seconds Finally, Xiao Ming crossed the river with his younger brother, which should take 3 seconds, and it took a total of 29 seconds.

Now the 10 boxes are numbered, and then take out 1 from the first box, 2 from the second box, and 3 from the third box... 10 sticks were taken out from the 10th box, for a total of 55 sticks. If it's all iridium pens, the total weight is 5500 grams. Therefore, if the result is weighed 10 grams less than 5500 grams, it means that only 1 of the 55 pens is a replacement, and the first box of 1 is a replacement.

If there are 20 grams less, there are 2 substitutes, and the second box is the substitute... And so on, and finally you can distinguish which box is the alternative.

The balance is put on the left and right sides of 5 boxes at a time, the balance is tilted, and then the left and right at the same time a box of boxes to take down, when the balance is flat, the original warped up side flat front of the box is stainless steel.

Divide the box into two parts, five boxes each, and remove the heavy five boxes. There are five boxes left, one box is filled, and six boxes are enough. Divide into two parts and weigh them in turn. It won't be once!

Weigh yourself first, weigh it yourself, and then weigh it.

What balance, pallet or indicative?

1. Suppose that A's words are true (C is suspected of murder).

Then B did not kill people, B is true, and C who says that A is lying is suspected of taking the blame, so C is suspected of being a murderer.

2. Suppose that B's words are true (same).

If B is true, then A is true, so B is not a murderer, and if 1 is hypothetical, C is suspected of being a murderer.

3. Suppose C is true (B is suspected of murder).

If C is true, then from C's words, it can be concluded that A is lying, and if C is lying, then B is a murderer.

Because the question is not defined, it is specified how many people are true and how many people are false, so there are two kinds of answers, depending on who is speaking true.

I don't know if this explanation will work.

1. Put it in the water and see how much water they drink.

2. Know the weight in advance. Each contains 1,000 pills, each weighing kg. Then the pills in a bottle went bad, each weighing (k+1) g. Weigh it once and find out what is broken.

Simple. Liangyu Fu bottle numbering, No. 1 to take one grain, No. 1 to take one grain, No. 2 to take two grains, three respectful to carry the number to take three grains, and so on.

The pills taken out are weighed together, and if they are a few more than the standard weight, then the number of bottles is broken.

Just hold it in your hand and know it, don't say you don't even have such a sense of quality

In fact, it means asking one of them, "If I ask the other person if this road leads to the capital, will he nod?" ”

Let's assume that this road does lead to the capital.

1) The person who asks is A, and A will definitely know that B is nodding, so if he wants to tell a lie, he will shake his head.

2) The person who asks is B, and B must know that A will shake his head, and he will shake his head when he says that he wants to tell the truth.

So shaking your head will determine that it is indeed the right path, and in the same way, nodding your head will determine whether it is the road to the capital.

This person only needs to stand on either road A and B, and then ask one of them, "What will happen to him if he (the other one in A and B) will not lead to the capital?" ”

If both A and B shake their heads, they go forward on this path, and if they both nod, they go on the other way.

Answer: If I asked him if this road leads to the capital, what would he do, and there are many answers to this question.

There are 4 red hats.

It is known that there are four people, A, B, C, and D, who cannot see themselves, but can see the color of each other's hats, and at least one red hat.

1) Suppose there is only one red hat, then when asked for the first time, someone will answer.

Analysis: If one of them finds out that the other 3 people are all green hats, they can immediately determine that they are red hats, because there is at least one red hat, and if everyone else is green, then they must be red.

When asked for the first time, no one answered, indicating that there was more than one red hat.

2) Suppose there are two red hats, and when asked a second time, someone will answer.

Analysis: For the person wearing a red hat, he can see a red hat and two green hats, but he also thinks that if I have a green hat on my head, I will be able to answer this question the first time I ask it, since I didn't answer this question the first time, it means that there is not only one red hat, and now I see one red hat and two green hats, then I must not be a green hat, but a red hat.

Analysis: Suppose someone sees that there are 2 red hats and 1 green hat, and for this person, he will also think, if there are only 2 red hats, the second question should be answered, but now it is not answered, then it means that mine is a red hat.

4) When asking the fourth time, based on the situation that everyone could not answer the first three times, through the above thinking, everyone knows that Red Hat is neither 1, nor 2, nor 3, then it can only be 4.

Quick Tips: If there is at least one hat of a certain color, then ask someone several times to answer it, and there will be several hats of that color. i.e. the number of times asked is equal to the number of such hat colors).

There are 4 people with red hats or green hats on their heads?

Since it's 4 red hats. That sentence is a mistake.

Then it was said later:"At least one of you wears a red hat"How can you tell if this sentence is true?

If you have at least 1 Red Hat and at least 1 Green Hat.

That is to say, the first question:"At least one person was wearing a red hat. "

They all said they didn't know.

Second question:"At least one person is cuckolded. "