First, the classic interesting questions of mathematics.
On National Day, three students went home after watching the flag-raising ceremony. On the way, they saw a yellow car. When they walked on, they heard that the car hit an old man and ran away. But no one wrote down the license plate number of this car.
When the police asked the three middle school students, they all said that the license plate number was four digits. One of them remembers that the first two digits of this number are the same, another remembers that the last two digits of this number are the same, and the third remembers that this four-digit number is exactly a square number. Can you confirm the license plate number of this accident car?
A: Four digits can be expressed as:
a× 1000+a× 100+b× 10+b
= a× 1 100+b× 1 1
= 1 1×(a× 100+b)
Since a× 100+b must be divisible by 1 1, a+b= 1 1 is brought into the above formula:
Four digits =1/kloc-0 /× a×100+(11-a)
= 1 1×(a×99+ 1 1)
=1/kloc-0 /×/kloc-0 /× (9a+ 1) as long as 9a+1is a complete square number.
Verified by a=2, 3, 4, 5, 6, 7, 8, 9,
9a+ 1= 19、28、27、46、55、64、73 .
So there is only one solution with a=7; b=4 .
Therefore, the four digits are 7744 =112× 82 = 88× 88.
Second, patriotic stories.
When Su was in the third grade, a teacher Yang, who had just returned from studying in Tokyo, came to Zhejiang No.60 Middle School where he was studying. In the first class, Mr. Yang didn't talk about math, but told stories. He said: "In today's world, the law of the jungle ... revitalizes science, develops industry and saves the nation in from the mire. Everyone here is responsible for the rise and fall of the world. He quoted a large number of mathematics in the development of modern science and technology. The last sentence of this class is: "In order to save the country and survive, we must revitalize science. Mathematics is the pioneer of science. In order to develop science, we must learn math well. "
Making skills of students' handwritten newspapers;
1. Write newspaper headlines. Fonts should be written with double lines or colored markers, so that the font is bigger and more prominent. It is best to change the font, such as size, typesetting direction and color change.
2. Divide the information content plate of the poster according to the title position. It is generally recommended to choose 3-5 segments, and it is best to have a change in size. There is a blocking relationship between segments and there will be a sense of hierarchy. The shape of the segmentation block can be geometric or creative.
3. Choose illustrations related to the content in the corner to set off the atmosphere of the poster, and also set off the text well.
4. Draw with colored pencils or markers. Generally, it is recommended to use colored pens for small areas and colored pens for large areas.
5. Finally, use a pen and ruler to type the content typesetting format lines in the section, pay attention to the balance of the format lines, leave appropriate positions on both sides, and leave the position of the section head.