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Math diary, Grade Five, 300 words.
Reflections on Reading Mathematical Stories

One day, the king called the two generations of love to his palace and said to the two generations of love seriously, "Mr. Two generations of love, I heard that you often speak ill of me outside." People say you are smart. I have a question. If you can answer, I will acquit you. If you can't answer, I will be punished even more. " It turned out that the king wanted to use this method as an excuse to retaliate against the two generations. The king asked people to bring three boxes and said to the two generations, "Only one of these three boxes contains one of my pearls. There is a sentence written on each box, but only one sentence is true, and the rest are lies. You find out which box the pearl is in for me. " Two generations of love looked at it, and the first box was red, which read: "The pearl is here"; The second box is blue, and it says, "The pearl is not in the red box"; The third box is yellow, and it says, "The pearl is not here". Afandi read the words on the box, pondered a little, and immediately pointed out which box the pearl was in. Hearing this, the king and his ministers were stunned for a long time. The king had to let the two generations of love leave.

In real life, everything follows a law, and you can't have it both ways. This law is called law of excluded middle. If the pearl is in the red box and the natural pearl is not in the yellow box, then the words on the red box and the words on the yellow box are true, which contradicts "only one sentence is true", so it is impossible. If pearls are in the blue box and natural pearls are not in the red box and yellow box, then the words on the blue box and yellow box are also true. Therefore, this is also impossible. Because the pearl is in one of the three boxes, since it is not in the red box and the blue box, it must be in the yellow box.

My room is my call.

Today, our family is moving. I jumped three feet.

I moved into a new home, and my father was swinging around my room with a ruler. I asked my father, "Dad, what are you doing there?" "I'm measuring the width and length of your room?" Dad replied. Two minutes later, it was finally measured accurately: 6 meters long and 4 meters wide.

But dad said, "By the way, we need to buy ceramic tiles for the floor, otherwise it will be ugly." I asked, "What size tiles do you want?" "Let's talk about it then." Dad said.

We got dressed and went out.

When we arrive at the store, let's look around. Some are eight meters long and seven meters wide, while others are six meters long and four meters wide. About 6 minutes later, I took a fancy to a beautiful tile with red roses engraved on it. The length of this tile is 200 cm. "Boss, I want a tile with a length and width of 200 cm!" I shouted. After shouting, everyone was shocked. "Son, how do you calculate?" Dad asked. "Use the greatest common factor to calculate!" I answered. "How clever!" Dad praised me.

I bought it back and it was just covered. I'm so happy!

My room is my call!

Today, when I was working in winter vacation homework, I found a question about true and false silver dollars, which read: A businessman has nine silver dollars, one of which is relatively light. Can you find a fake silver dollar with a balance? I thought and thought, but I still didn't get it. I have to ask dad. Dad said, "that lighter silver dollar must be fake." First of all, the silver dollars are divided into three groups according to three groups and put on the scale respectively. If the two groups are equally heavy, it means that these are real silver dollars. Then put the three silver dollars of the other group on the balance one by one. If the two are equally heavy, it means that the other is fake, that is, the lighter silver dollar. " I can finally tell Chu Zhen from Yuan Yin! I really admire my father. He is too clever. I will study hard and be as smart as my father. There are a group of children in my family. As my brother, I must take care of them! It happens that there are 33 biscuits in the Wangwang gift package at home. There are four of us. I asked my cousin, "How many biscuits does everyone share?" Cousin can't remember at the moment. After a while, my cousin said, "Brother, each person is divided into 8 pieces, leaving 1 piece." I said, "That's right!" But who will the rest be given in the end? We are all willing to give it to our youngest sister. Dad, Uncle Yu and I went to pay the road maintenance fee. On the way, I was calculating the gas cost of this car and how much it would cost every month. My father's car can hold 60 liters of fuel, one liter of 3 yuan, and fill it up once 180 yuan. Once every two weeks, once a day, it is estimated that 360 yuan is needed.

It is sunny today. I was reading Mathematical Olympiad in Primary School at home, and suddenly I found such a problem: compare11111,1 165538. Suddenly, I became interested and took a pen and "brushed" it on the toilet paper. Soon, I found a solution Is to turn these two false scores into fractions and then use the law of fractions. The smaller the denominator, the greater the score. Solve111111

Today, I saw such a problem in the training of Mathematics 1+2. A cubic casting with a bottom area of 648 square centimeters, what is the remaining three-dimensional graphic area after removing the largest cylinder and taking the opposite side as the bottom?

Seeing this topic, I was very confused and thought: just say a bottom area, how to do it? My mother sitting in the chair looked at it, smiled at me and said, "Hum, they all say that the level is high, and they can't even know this problem."

I know my mother used the goad method, in order to irritate my competitive spirit and let me finish this problem. In order to make my mother think that her provocation was successful, I crustily skin of head did it, but I couldn't figure it out. But I'm not discouraged. I persisted and finally succeeded.

According to the drawing (to be drawn), it can be found that when a cylinder is cut off, a hole with the same size as the original cylinder will come out. Although the volume of the hole is the same as that of the cylinder, their surface areas are not the same, but the areas of the two bottoms are smaller than that of the original cylinder.

Therefore, the remaining graphic area should be equal to the area of the six faces of the cube minus the two bottom faces of the cylinder+the side faces of the cylinder.

The formula is 628× 6-628× 3.14 ÷ 4× 2+628× 3.14.

Today is another sunny day. I was wandering in the street when I suddenly saw a lot of people gathered not far away. I ran for a year, and the result was a prize-winning game. "Hum, what's fun about winning the prize?" I was bored when the person next to me quickly said, "It's not fun to grab the prize, but there is a big prize that can attract people." I asked eagerly, "What is it!" "50 yuan money." The man with big eyes said. I'm very excited to hear that. "I have to try anything for such an attractive prize." Then I asked the shopkeeper how to grasp the rules. The shopkeeper said, "This is 24 Mahjong, and it says 12 5, 12 10. You can only catch 12 mahjong at a time. If the total number of 12 mahjong targets is 60, then you can win the 50 yuan Prize. " Without rolling up my sleeves, I took out 5 yuan money from my pocket and gave it to the shopkeeper.

Today, my family went to KFC in Longgang for a family meal.

When we get there, people are always crowded. We finally ordered good food and found a seat to sit down. Here comes the food. This is a sumptuous set meal. There are 12 drumsticks in it. I thought: how to divide it equally? Then I remembered the division of 12÷3=4. We each have four drumsticks. Later, I ate my mother's 1 chicken leg and my aunt's two chicken legs. My aunt said, "You can't eat this for free. I ask you, how much did you eat? " How many more servings do you have to eat before you can finish them all? "I thought about it and replied," I ate 7/ 12, and then I ate 5/ 12. I ate all of it. "Fortunately, I learned the knowledge of fractions and can answer the questions correctly.

(2)

Today, my mother gave me 10 yuan to go shopping in the supermarket. I bought a string of firecrackers 2/ 10, four lollipops/10, seven balloons 2/ 10, and finally a comb 4/ 10, a *. There is still one yuan left, and I have to pay it back to my mother.

When I got home, my mother ate 1/4 lollipops, my father ate 1/4 lollipops, I ate 1/4 lollipops, and I gave the other one to my brother Xiao Qiang next door. (Author: Xiao Enling)

(3)

Last week, we studied fractions. Fractions have numerator, denominator and fractional line, for example, 1/3, where 3 is denominator, 1 is numerator and the middle horizontal line is fractional line.

Scores are used in many places in life. For example, a book has thirty pages, and each page is 1/30 of a book. Fractions can also be used to add and subtract! For example, half plus half equals two, which is 1. Why is this happening? If you divide a cake into two parts, each part is 1/2 of the cake, and then put the two parts together, there are two parts 1/2, which is just a cake. When adding and subtracting fractions, if the denominator is the same, only the numerator is added, regardless of the denominator. And 2/2 of the numerator and denominator are the same, which is 1.

I also learned to compare the size of fractions. The teacher taught us the formula: numerator is the same as denominator, the fraction with large denominator is small, and the fraction with small denominator is large; Denominators are the same as numerators, with large numerator scores larger and small numerator scores smaller.

The teacher also reminded us that when writing scores, we usually write the fractional line first, indicating the average score, then the denominator and finally the numerator.

Recently, we have learned the recognition of scores, and the recognition of scores is not just a few scores. Instead, use charts to represent scores. For example, a circle is divided into four pieces on average, and each piece is a quarter of the circle. We also learned about true scores and false scores. False fraction means that the denominator is less than the numerator or the denominator is the same, and true fraction means that the denominator is greater than the numerator. So the false score is greater than 1 and the true score is less than 1.

For example, there are two identical graphs, and each graph is divided into two parts equally. The first figure draws two squares (half), and the second figure only draws one square (half). These two figures can be described by true points, that is, four points have only one point, and two-thirds are described by false points. It can also be described as one and a half. This is a fraction, and a fraction is a combination of an integer and a true fraction.

False scores can be turned into scores, and scores can also be turned into false scores. How to turn a false score into a score? Just divide its numerator by its denominator and read it from top to bottom. For example, three out of seven is two and a third. Quotient is an integer, divisor is a denominator, and remainder is a numerator. So it's two and a third.

We also studied fractions and division. Divided by the divisor, the dividend equals the dividend of the divisor.