Fun Math Intelligence Questions What are some fun math problems?

5 frames. It can be recorded as A, B, C, D, E, A is the main engine, driving the whole flight, B, C is responsible for sending, C and D are responsible for pick-up, and the specific process is as follows:

Considering that the aircraft that refueled the main engine had to fly back to base safely (whether it was delivered or picked up), and the fuel consumed by them was completely wasted, it was necessary to make their flight distance as short as possible. Therefore, counting from the base, the distance between 1 4 and 3 4 must be completed by the host A alone (the maximum range is 1 2).

Then consider using the least number of planes to pick up and drop.

1. Send. A, B, C 3 planes took off at the same time, at 1 8 points in the whole journey, one of C filled the remaining two A and B, and just flew back to the base; The remaining A and B continue to fly until they reach 1 4, and B refills A's fuel and returns to base on his own. In this way, host A was able to fly to 1 4 with full fuel and to 3 4 alone.

2. Pick-up. When A flew to 3 4, the fuel was basically exhausted, and it happened to meet D who flew alone from the opposite direction of the base, and D still had 1 4 oil left, which was divided equally with A, and A and D were both 1 8. Continue to fly to 7 8, just meet E flying alone from the opposite direction of the base, at this time E still has 3 8 left, A and D have basically run out of fuel, E will distribute fuel to A and D 1 8 each, 3 planes just fly back to the base.

2 sorties, one takes off at the same time with the main engine, refuels half at the 1 4 distance and returns, when the 1 2 journey takes off in the opposite direction, refuels half the fuel at the 3 4 distance and returns at the same time with the main engine, can arrive safely.

3 planes. A frame around the full circle.

Frame B takes off with (in the same direction) A, flies 1 and 4 laps, and gives all the fuel to A

C. Wait for A to fly half a lap and then take off, fly 1 4 laps, and when A A runs out of fuel, give A a all the fuel to fly the whole way.

There are two ways to add: 1Two planes flew with one main aircraft. At the place of 3 1, one to fill up the main engine and fly back. Then fly the whole 4 1 and the other one to the main engine full and fly back. (This one has a full 12 1 left.) ）

Two planes flew with one main aircraft. At the place of 3 1, one to fill up the main engine and fly back. Then charge the remaining 4 1 another one to fill up the host and fly back. (This one is just right.) ）

14 planes. If the week is set to 6, then:

Fly together to 1 place (1 6).

Each aircraft still has enough fuel to go 2, of which 5 put 1 oil to the main engine and 4 with the main engine, these 5 returned safely, and the other 4 were on standby; (5 are returned at this time; 4 in 1, 2 oil remaining; 5 in 1, 3 oil remaining;

5 planes to 2 places (1 3 places).

Each plane still has enough fuel to go 2, 2 of which add 1 fuel to the main engine and 1 with the main engine, these 2 return safely to 1, and then 2 planes at 1 place add 1 fuel to them, return safely, and the remaining one is on standby; (At this point, 9 are returned; 2 in 1 place, 2 oil remaining; 1 in 2 places, 2 oil remaining; 2 in 2 places, 3 oil remaining)

2 planes to 3 places (1 2 places).

Each plane also has 2 oil, one of which gives 1 oil to the main engine, at this time the main engine has 3 oil, can fly safely for a week, and the plane returns to 2 places; (At this time, fly 1 week, return 9, 2 at 1, and have 2 oil remaining; 2 at 2, 1 with 2 oil, 1 with 0 oil)

For 2 airplanes, the oil is returned to 1 place on average.

At this time, 1 aircraft flew a week, 9 returned, 4 were at 1, 2 were 2 fuel, and 2 were 0 oil) 1 aircraft were refueled evenly and returned safely! (At this time, 13 aircraft were safely returned, and 1 aircraft flew weekly).

Only 4 aircraft (A, B, C, D) are needed, and 6 aircraft are enough for fuel.

Method 1: 1. A and B take off at the same time, fly to 1 6 on the earth, and B will add 1 3 fuel to A, so that B can use the remaining 1 3 oil to return home.

2. A is now fully fueled and can fly to 1 6 + 1 2 = 2 3 on the earth, that is, there is still 1 3 left in the opposite direction.

3. B and C take off from the opposite direction and fly to 1 6 in the opposite direction of the earth, and B adds 1 3 oil to C, so that B can still use the remaining 1 3 oil to return to the sea.

Fourth, C flies the earth 1 6 again and arrives at the opposite direction of the earth 1 3 when it happens to meet A, then C only has 2 3 oil left, and after adding 1 3 to A, the two planes each have 1 3 oil left, and can fly to 1 6 in the opposite direction of the earth at the same time.

5. B and D take off for the last time, fly to 1 6 in the opposite direction of the earth and meet with A and C, and B and D respectively add half of their remaining 2 3 oil, that is, 1 3 oil, to A and C, so that each aircraft has 1 3 fuel and just completes the last 1 6 range.

Method 2: 1. A, B, C, and D take off at the same time and fly to 1 6 places on the earth, and B and D add their own 1 3 oil to A and C respectively, so that B and D can each use the remaining 1 3 oil to return home.

2. A and C are now fully fueled, and then fly 1 6 distance to 1 3 places on the earth.

3. At this time, A and C each have 2 3 oil left, and after C adds 1 3 oil to A, C has 1 3 oil left, and A is now full of oil. C returns to 1 6 of the earth, and a will be able to fly to 1 3 + 1 2 = 5 6 of the earth, that is, there is still 1 6 of the distance left from the opposite direction.

Fourth, D takes off again and rendezvous with C at 1 6 on the earth, at this time D only has 2 3 oil left, and after adding 1 3 to C, the two planes each have 1 3 oil left, and can return at the same time.

5. B takes off for the last time and flies to 1 6 in the opposite direction of the earth to meet A, and B adds half of the remaining 2 3 oil, i.e., 1 3 of oil, to A, so that each plane has 1 3 of oil, which is exactly the last 1 6 of the range.

The math problems in life are as follows:1. The problem of baking cakes: it takes two minutes for the mother to bake a cake, one minute for each of the front and back sides, and a maximum of two cakes in the pot at the same time, so how many minutes does it take to bake three cakes at least?

2. Socks problem, there are 5 pairs of socks of different colors in the drawer, and the light is not turned on, so how many socks of the same color need to be taken out?

3. Table problem, a square table, cut off a corner and how many corners? Orange Brigade.

4. Cut tofu and ask the question: How many pieces can a piece of tofu be cut into three knives?

5. Cutting watermelon problem: cut 7 cloves with three knives, and there are 8 pieces of skin left after eating, how to cut them?

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

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

8. Clock question: 12 hours, how many times do the clock and minute hand repeat?

The first question of Hope for the Stars should be changed to: A rectangular piece of iron with a base area of 16 square centimeters and a height of 12 centimeters is placed vertically in a cylindrical glass with a base area of 80 square centimeters and a height of 15 centimeters, which contains water

If the water depth is 13 cm, what is the depth of the water after putting in the iron block?

If the water depth is 10 cm, what is the depth of the water after putting in the iron block?

If the water depth is 8 cm, what is the depth of the water after putting in the iron block?

Where is the dollar, go find it.