Can anyone help me find some fantastic math problems?

What is the single digit number of 2 to the power of 100.

Use four "1s" to form numbers. Write out the (1) maximum number and (2) the smallest number that you have solved.

There are 4 rational numbers 3,4,-6,10, write several different methods of operation, you can use parentheses so that the result is equal to 24, (Write 3 kinds of operations.) There are also 4 rational numbers 3, -5, 7, and -13, which can be made equal to 24 (write 1 type).

If a,b is not equal to 0, find the absolute value of a part of a + the absolute value of b of b.

Mathematics: Egypt, like China, is one of the world's most famous ancient civilizations. The ancient Egyptian people handled fractions differently by generally using fractions with a numerator of 1, for example, 1/3 + 1/15 for 2/5, 1/4 + 1/7 + 1/28 for 3/7, and so on.

Now there are 90 fractions: 1 out of 2, 1 out of 3, 1 out of 4, 1 out of 5 ,..1 in 90, 1 in 91, can you pick 10 of them and add plus or minus signs so that their sum is equal to -1?

Application question: A submarine can sink and float as needed, and if a submarine is known to be located 80 meters below the surface of the water, if this depth is used as a reference, how should the depth of the submarine rise to 60 meters and sink to 100 meters be represented?

It's all the first year of junior high school questions, and the questions I ask are all quite amazing.

Find a number, this number divided by 10 more than 9, is the remainder, divided by 9 and more than 8, and go on like this until divided by 2 and more than 1, find what is the minimum value of this number, in fact, it is simple, there are many ways, but can you have a quick way to get this number, you have to come out first, I will tell you, it only takes 10 seconds to get it, and at the same time you will use this method to divide from 100, or even 1000 or even any to start down, and quickly get the answer. I discovered this law and called it divider.

It's still quite a lot.

1. The problem of baking cakes: It takes two minutes for my mother to bake a cake, one minute for the front and back sides, and two cakes are placed in the pot at the same time, so it takes at least a few minutes to bake three cakes?

2.Socks problem, there are 5 pairs of socks of different colors in the drawer, the light is not turned on, to take out a pair of socks of the same color, how many of them need to be found at most?

3.Egg problem: Xiao Zhang sells eggs, a basket of eggs, the first person comes to buy half of it, and Xiao Zhang gives him another one.

The second person bought half of it, and Xiao Zhang gave him another egg. The third person bought half of the eggs, and Xiao Zhang gave him another one. The fourth person came to buy half of it, Xiao Zhang gave him another one, and the eggs were just finished!

How many eggs does Xiao Zhang have in total?

4 table questions, a square table, cut off a corner and how many corners?

5.Tofu cutting problem: A piece of tofu can be cut into three knives, and a maximum of how many pieces can be cut into 6 watermelon Question: Three knives cut 7 petals, and there are 8 pieces of skin left after eating, how to cut it?

7.Bamboo pole question: Can a 5-meter-long bamboo pole pass through a one-meter-high door?

8. Carton problem: Can a square box with a side length of one meter put down a wooden stick of rice?

9.Clock Question: 12 Hours, How Many Times Does the Clock and Minute Hand Repeat?

10.Origami Question: How thick is a piece of paper with a thickness of 1 mm, folded in half 1000 times? ......

If the waiter also refunds the 2 yuan, the three people do not have to spend 9 yuan each but the actual 25 3 yuan, so the 2 yuan is privately swallowed in the total of 27 yuan of 9 yuan per person, so it cannot be counted as 3 * 9 + 2 = 29, it should be counted as 2 + 3 + 25 3 * 3 = 30 yuan. There is no such thing as 1 yuan to go to **.

27 is the money spent by the customer, how can 2 dollars be added up in these 27? It's 27 equal to the boss's 25 + 2 pieces taken by the waiter, and this number plus the 3 pieces returned is 30, ok

The first problem can be solved by using a similar triangle, first using a wooden stick in a sunny weather, first measuring the length of the wooden stick, then placing the wooden stick perpendicular to the ground (except for measuring the Leaning Tower of Pisa), measuring its shadow length, and then measuring the shadow length of the building, using the proportional formula of similar triangles.

Half a catty of green onion white and half a catty of green onion is one catty of one yuan, but if you buy it separately, it is 7 cents a catty + 3 cents a catty = one yuan and two catties, 100 2 = 50 (yuan) 50 yuan and two catties, 2x50 = 100 (catties), so he lost 50 yuan.

The actual amount of money paid by the three is: 9x3=27 yuan.

The money that the waiter embezzled was: 2 yuan.

The actual amount of money received by the hotel is: 25 yuan.

Then: 25 + 2 = 27 yuan.

(2) The man who sells green onions says:"Sell, green onion white 7 cents, green onion 3 cents. "It is equivalent to: a pound of green onions is 7 cents, and a pound of green onions is 3 cents, so two catties of green onions are only 1 piece, so 100 divided by 2 is 50 yuan.

Because it is necessary to distinguish 27 yuan and 2 yuan here, 27-2 = 25 should be used instead of 27 yuan, and 2 yuan is not included.

1.In fact, it is a misleading calculation method, in the waiter returned 1 yuan, that is, 10-1 = 9, each person only spent 9 yuan, 3 people 9 yuan each, 3 x 9 = 27 yuan These money has included the waiter secretly hid 2 yuan in addition to the 3 yuan in their hands, just 30 yuan, in fact, there is no less.

2.Because when the green onion is bought together, whether it is green onion white or green onion is 1 yuan and 1 catty sold separately, it becomes green onion white 7 mao, which is 3 cents lower than the original, and green onion is 3 mao, which is 7 cents lower than the original, so the person who sells green onions loses 3x50 + 7x50 = 50 yuan, so selling things sometimes requires knowledge.

It's a misleading question, and you can't follow his train of thought, backwards.

Haven't the answers to these 2 questions been published on the Internet for a long time?

The three people actually paid 27 yuan each, the boss took 25 yuan, and the waiter took 2 yuan. 27=2+25

The algorithm in the question is 27 yuan + 2 yuan hidden by the waiter is meaningless.

Now the distribution of the 30 yuan is: 1 yuan for each of the three people, a total of 3 yuan, 25 yuan for the boss, and 2 yuan for the waiter, for a total of 30 yuan. 30=3+25+2

27 yuan = 25 yuan paid to the boss + 2 yuan hidden by the waiter.

Therefore, the algorithm of 27 yuan + 2 yuan = 29 yuan hidden by the waiter is wrong, repeating the 2 yuan of the waiter, it should be 27 + 3 yuan returned = 30 yuan.

Hehe, it's very simple, I'll give you an analysis.

You think so: each of them is out of 10, the original total price = 3 * 10 = 30 actual total ** = 25

25 3= is the actual unit price, 2 3*3=2 is stolen by the waiter.

Does the landlord understand?

If you don't understand anything, just ask me!

Thanks for adopting!

Of course, this algorithm is wrong.

Reason: (1) Three Xiucai lived in an inn, and the result was 10 yuan per person, a total of 10 3 = 30 yuan.

2) Each person returned 1 yuan, that is, 9 yuan was spent per person, and the three people spent a total of 27 yuan. Of the 27 yuan, the boss left 25 yuan, and Xiao Er left 2 yuan privately.

3) Add the 3 yuan returned, and the result is exactly 30 yuan.

Conclusion: This question confuses people mainly because it separates the 2 yuan from the 27 yuan, and the algorithm of the original question mistakenly believes that the 2 yuan left by Xiao Er is not included in the 27 yuan, so there is an error result of 1 yuan less; In fact, the 2 yuan left without permission was included in the 27 yuan, plus the 3 yuan returned, and the result was exactly 30 yuan.

You can't do that, let's put it this way, 2+3+25=30, so there's no going wrong. If you want to say that it cost 9 yuan per person, then the waiter should have no money to hide. Because it cost 9 yuan per person, and there is a dollar to get back, 3*9+3=30, the waiter has no money to hide, right?

Actually, your algorithm is wrong.

You see, if you look at those three people as a whole, you pay a total of 27, and this 27 yuan includes the accommodation fee of 25 and the waiter's 2 yuan, and what does your 27 yuan + waiter's 2 yuan mean? It's not interesting at all.

It doesn't make sense for you to ask where the one yuan went, because if the waiter charged 1 yuan, if it was calculated as 26 yuan + 1 yuan = 27 yuan as you did, then where did the three yuan go?

Haha, that's a good question

It's not that each person only spent 9 yuan.

It should be like this:

It only costs 25 yuan, an average of 8 yuan and 1/3 per person.

After the waiter hid 2 yuan, there was only 28 yuan left.

On average, each person gets 9 and 1/3 of a dollar.

9 and 1/3 yuan - 8 and 1/3 yuan = 1 yuan.

That's the 1 dollar.

Answer: m=0

From the equation, the axis of symmetry is the straight line x=1, and the equation is substituted to obtain: m(1,m-1) passes through the point m to make the height of the triangle abm, and the vertical foot coordinates are (1,0), and the length of the vertical foot subdivision line segment ab is (x1-1), (1-x2) respectively

In the right triangle ABM, from the projective theorem, (m-1) = (x1-1) (1-x2).

Let x -2x+m=0 get x1+x2=2, x1 x2=m, so, m -m=0 because m-1 is not equal to 0, so m=0

12 In order to maintain water and soil and beautify the environment, a middle school is going to plant some weeping willows on both sides of the road from the school gate to the playground, requiring that the number and spacing of trees on both sides of the road be equal, and trees at both ends of the beginning and tail are planted Now the school has prepared a batch of saplings, if one is planted every 3 meters, there is a shortage of 18 trees; If one tree is planted at every interval, there is a shortage of 10 trees

1) If one tree is planted every 4 meters, is there a surplus or insufficient sapling? How many are left or missing?

2) If you want to have enough spare saplings and just run out, how many meters should you plant a tree at every interval? (accurate to the meter) 2008-11-29 13:5

1) Not enough, 4 trees are missing.

2) Plant a tree every meter.

and between , and between and and from and between and from the third time, they are separated by two times, so the second and fourth times may also be twice as long, so you can fill in 8 in parentheses, and if only the first and third odd numbers (such as the first separation) will change, and the second and fourth even numbers (such as the first separation) will not change, Then the fourth interval in this case is that the parentheses can be filled in, because .

It's a kind of trick-like subject, if you follow his train of thought, you will only be puzzled, but a little bit of thinking will reveal the mystery. First of all, the 9 yuan spent per person has included the 2 yuan hidden by the waiter (that is, ***25 yuan + 2 yuan hidden by the waiter = 27 yuan = 3 * 9 yuan), therefore, when calculating the composition of the 30 yuan, the 2 yuan hidden by the waiter should not be counted, but the 1 yuan returned to each person should be added. Namely:

3 * 9 + 3 * 1 = 30 yuan is just right!