Interesting question 1: Can you cut a square into six large and small squares? Interesting question 2: Two candles of the same length, the first one can light for 4 hours, and the second one can light for 3 hours. Two candles are lit at the same time. After a few hours, the length of the first candle is twice that of the second candle. Interesting question 3: Add 168 to a certain number to get the square of a positive integer, and add 100 to get the square of a positive integer.
What's the number, please Interesting question 4: Someone walked for five hours, first along the flat road, then up the mountain, and finally walked back to the original place along the original road. If he walked 4 kilometers per hour on the level road, 3 kilometers per hour up the mountain and 6 kilometers per hour down the mountain, how many kilometers did he walk in 5 hours? Interesting question 5: Miss Zhao's age has the following characteristics: (1) Its cubic power is a four-digit number, while its quartic power is a six-digit number; (2) The digits of these four digits and six digits are exactly the tens of digits from 0 to 9.
Q: How old is Miss Zhao this year? Interesting topic 6: There are three horses on the racetrack, A, B and C. A can run twice a minute, B can run three times and C can run four times. Now three horses are side by side at the starting line, ready to start in the same direction.
Excuse me: after a few minutes, can these three horses run side by side at the starting line again? Interesting question 7: There are four numbers, and the sum of any three numbers is 84, 88, 99, 1 10 respectively. Try to find these four numbers. Interesting question 8: In the same plane, 1 circle divides the plane into two parts, and two circles divide the plane into four parts at most.
So how many parts does 10 circle divide the plane into at most? Interesting question 9: A person starts from point M, advances 20 meters, then turns right at 15 degrees, advances 20 meters, and then turns right at 15 degrees. .
At this rate, can he go back to M? If so, how many meters did he walk when he returned to M? Interesting question 10: Two different coins are tangent and the other circle rolls around the other circle. How many times did the circle * * * rotate when it returned to the starting point? 1。 Of course.
The side length of the largest square is x, the largest of the six is on a corner, the side length is 2X/3, and the others are all X/32. The original length is X m, the shortening speed of the first one is X/4 m/h, and the shortening speed of the second one is x/3 m/h.
X-XT/4 = (X-XT/3) * 2, and the unit of T is 5/ 12 h3. 168 x = the square of a.
100 x = the square of B. The square of A minus the square of B = 68, and (A B) (A-B) = 68.
The divisor of 68 is 1 2 34 68, a b is either 34 or 68, and a-b is even because 34 and 68 are even numbers and A and B are odd or even numbers, so a b=34 a-b=24. a/4 b/3 b/6 a/4=5，a b= 10KM5 .
According to the requirements, her age is 18-2 1. The square of 19 is 36 1, so it is impossible; 20 is even more impossible; The mantissa of 2 1 square is still 1, and it is impossible to be 1 several times, so it is 186.
Least common multiple 127. 84 88 99 1 10=3(a b c d), and then subtract 84 88 99 1 108.
1 circle, 2 parts, 2=2 2 circle, 4 parts, 4=2 2* 1 3 circle, 8 parts, 8=2 2* 1 2*2 4 circle, 14 part,14 =
10。 It rotates 2 times and revolves 1 week.
It is necessary to distinguish between rotation and revolution. Rotation means that a point on the circumference rotates around its center, and revolution means that its center rotates around the center of revolution.
You can imagine the rotation of a public number, but it takes a lot of brains. The main point of the topic is the word "rotation". You can imagine the rotation process of a rotating circle. Suppose it is two coins, with the same word facing up and placed side by side. When the right one starts to rotate around the left, we divide the rotation process into two parts.
The first step is to rotate the circle on the right half a turn to the left, and the second step is to continue to rotate half a turn to return to the original point. In the first step, the circle on the right goes along the half circumference of the circle on the left, and the length is half circumference (it can be imagined as a gear). When two circles and half a circle are completed, the original circle on the right has moved to the left, and it still maintains the original text direction. The above has explained why this happened, so I won't explain it.
At this time, the small circle rotates once in half a cycle (the rotation of the text direction is 360 degrees), and the next step is the same as the first step. The whole process comes down, one turn, two turns, that's how it comes.
This kind of problem is not calculated, it is purely reasoning. If you insist on calculation, the calculation process is very complicated. You have to calculate the trajectory of any point on the circle of rotation (the trajectory of each point is different, and this trajectory is not a circle, but a parabola), and then calculate the length of this trajectory, which is exactly equal to the circumference of the circle turning half a circle, indicating that it has turned a circle! I don't think a junior high school student should master specific calculations. Junior high school students only need to know the concepts of rotation and revolution in this topic. This topic is simultaneous rotation and revolution, which is very helpful to understand the concepts of these two movements. I hope you can know them thoroughly.
Second, interesting math stories are short and urgent.
In the early morning, the rooster crowed loudly, "Whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa whoa When her mother said this, she stopped yelling. She listened carefully to the cock's crow. It must be regular. She cried happily: "I see, I see, the rooster calls three' Oh' words at a time, one * * barks 12' Oh' words, and 4 * 3 = 65438+. So can I. "So, she also made a series of interesting sounds, and other animals who woke up in the morning praised the child for being really capable. What kind of multiplication formula can you write, children? Please have a try! Twittering, twittering, twittering () * () = () The elephant was unconvinced and knocked, and came up with a multiplication problem with his steps. Knock, knock, knock, knock * () = () After a while, the little pig came playing the trumpet. After that, I took a few steps in the snow. After stopping, several plum blossom-like footprints appeared on the ground. It proudly said, "Look, every plum blossom I draw has six petals. How many petals are there in four plum blossoms? " .
3. Is it fun to learn math?
As long as you master scientific learning methods, it will be fun.
Mathematics is not difficult, but it is theoretical. Don't be afraid of math, let alone be too nervous. Just keep your grades open, or you will be too nervous to review. If you are nervous, you will be afraid. Mathematics is not difficult, so don't be nervous.
First of all, you should be interested, second, you should be determined, and third, you should be patient. Finally, study hard. Starting from the basics-familiar with skills-application. I must have practiced it countless times. Ask the teacher for specific study. If you want to learn well, you must find a suitable learning method, understand the characteristics of the subject, recite formulas, think more, dig more and do more problems. There is no shortcut to learning, only practice, practice and practice again.
Do a good job in four rounds of study:
1. Review the basic knowledge comprehensively (see the textbook).
2. Analyze the existing problems in detail and review the missing parts.
3. Review section by section. To achieve similarities and differences, differences and similarities.
4. Special review. Cultivate comprehensive ability and expand their application ability.
Wish you success! !