1. Today, our family went to KFC in Longgang to eat a family package.
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. Little Bear's mother is ill. In order to earn money to treat his mother, Little Bear gets up before dawn every day to go fishing in the river and catch up with the market to sell fish.
One day, as soon as Little Bear set up the fish stall, the fox, the black dog and the old wolf came. When the bear saw a customer coming, he hurriedly called, "Buy fish? I just caught this fish. How fresh! " The fox turned the fish over and asked, "How much is a kilogram of such fresh fish?" "The bear grinned." Cheap, four yuan a kilo. The old wolf shook his head: "I am old and my teeth are falling out." I just want to buy some fish. "Bear's face is reluctant:" I'll sell you the fish. Who will I sell the fish head and tail to? The fox wagged his tail and said, "Yes, no one wants to buy the leftovers, but Uncle Wolf has bad teeth and can only eat some fish. To tell you the truth, Black Dog and I are very good to each other. If you buy fish heads and tails, won't you help Uncle Wolf and Brother Xiong? "The bear clapped his hands, but he hesitated." Good, but at what cost? "The fox rolled his eyes and replied," 2 yuan is 1 kg, fish head and fish tail are 1 yuan is 1 kg. Isn't it 4 yuan 1kg? "The bear drew a picture on the ground with a stick, and then patted his thigh:" OK, let's start! " "The four of them started work together, and in a short time, the head, tail and body of the fish were separated. Once the bear weighed, the body of the fish was 35 kilograms of 70 yuan; Fish head 15 Jin 15 yuan, fish tail 10 Jin 10 yuan. The wolf, the fox and the black dog quickly ran to the Woods with the fish, matched the head, the body and the tail, and then divided them equally.
On the way home, Bear thought: According to 4 yuan 1 kg, I should sell 60 kg of fish to 240 yuan, but now I only sell 95 yuan ... Bear can't figure it out.
A snail accidentally fell into a dry well. It lay at the bottom of the well and began to cry. A toad crawled over and whispered to the snail, "don't cry, little brother!" It's no use crying. The shaft wall is too high. If you fall here, you can only live here. I have been here for many years, and I haven't seen the sun for a long time, let alone want to eat swan meat! " The snail looked at the old and ugly toad and thought, "What a beautiful world outside the well! I can never live in a dark and cold well like it! " The snail said to the toad, "Uncle toad, I can't live here. I have to climb up! "How deep is this well?" "Ha ha ha ..., are you kidding! The depth of this well is10m. How can you climb up with such a heavy shell at a young age? " "I am not afraid of suffering, not afraid of being tired. I can always climb out after a while every day! " The next day, the snail ate and drank enough and began to climb the wall. It kept climbing and finally climbed 5 meters at night. The snail was very happy and thought, "At this rate, I can climb up tomorrow night." Thinking about it, it fell asleep unconsciously. In the morning, the snail was awakened by a purr. At first glance, it turned out that Uncle Tu was still sleeping. It was surprised: "How come I am so close to the bottom of the well?" It turned out that this snail slipped 4 meters from the borehole wall after falling asleep. The snail sighed, gritted his teeth and began to climb again. At night, it climbed another 5 meters, but at night the snail slipped another 4 meters. Climb and climb, and finally the strong snail climbed up the well platform. Can you guess how many days it will take a snail to climb the drilling platform?
When Gauss was in the second grade of primary school, once the teacher wanted to have a rest after teaching addition, he asked the students to do some calculations. The topic is:1+2+3+4 ..........+96+97+98+99+100 =? I thought the students would be quiet for a while, but I was about to find an excuse to go out, but Gauss stopped me! It turns out that Gauss has worked it out. Little friend, do you know how he did it? Gauss told everyone how he worked it out: add 1 to 100 and 100 to1; Line up in two rows and want to add, that is:1+2+3+4+………………+96+97+98+99+100+99+98+97+96+……+4+3+. 1+10 1+1* * has one hundred101,but the formula is repeated twice, so it is 65438+. Since then, the learning process of Gauss Elementary School has already surpassed other students, which laid the foundation for his future mathematics and made him a mathematical genius.
One Sunday morning, my parents and I were watching TV at home, and there was a basketball game on TV. After watching it for a while, my father suddenly said to me, "Qiqi, let me test you a math problem to see if you can?" I opened my mouth and said, "OK, no problem." Dad thought for a moment and said, "suppose the red team throws eight balls a minute and the blue team throws six balls a minute." After eight minutes of pitching together, the blue team improved its hit rate 10 ball per minute, while the red team only threw six balls per minute because of physical exhaustion. How many minutes later, the red team and the blue team threw the same number? " I thought for a while, but it took him a long time to figure it out. As time went by, I really couldn't think of it, so I had to say shyly, "I can't do it without a draft." I know that even if I have a draft, I may not be able to do it.
At this moment, my mother said to me: "It turns out that the red team throws two more shots a minute than the blue team, and one * * * throws eight minutes, which is 8×2= 16 (one); Later, the blue team overtook the red team and threw four more balls per minute. How many minutes does it take to throw 16 balls? 16÷4=4 (minutes), it takes 4 minutes to catch up. " I said, "It's so simple! Why didn't I think of that? " Dad smiled and said, "Is it simple? This shows that there is something wrong with your thinking. In real life, we should be good at discovering things and finding out their laws, then you will feel that mathematics in life is much more interesting than in class. "
6. In the mysterious kingdom of mathematics, the two "little famous" numbers "0" for the fat man and "1" for the thin man often argue over who is important. Look! Today, these two little enemies meet in a narrow way, and they have launched another war of words.
The thin man 1 spoke first: "Hum! Fat' 0', what's so great about you? Just like 100, what's the use of you two being fat without my thin'1'?"
Fat man "0" is not convinced: "Don't be overbearing in front of me. Think about it. Without me, where can you find other figures to make up 100? "
"hey!" "1" is not to be outdone. "If you are arrogant again, you are nothing. Look! 1+0' is not equal to myself. What's your use? "
"Let's go! The result of'1× 0' is not me, and your'1'is also useless! " "0" is tit for tat.
"You ..." "1"paused and improvised. "Anyway, your' 0' doesn't mean anything!"
"This is your lack of knowledge." "0" said unhurriedly, "You see, in daily life, the temperature is 0 degrees. Is there no temperature? For another example, without my starting point on the ruler, how can there be'1'?"
"No matter how you compare, you can only do the middle number or mantissa, such as 1037, 1307, and you can never lead." 1 "said confidently. Hearing this, "0" said more confidently: "This may be, for example, 0. 1. What can you do without my" 0 "to occupy it?"
Seeing the fat man "0" and the thin man "1" all blushed, and no one would let anyone, and other people watching were very anxious. At this time, "9" had a brainwave and made a gesture of pause: "You two stop arguing. Look at you, which size is bigger than me? " "This ..." The fat man "0" and the thin man "1" were speechless. At this time, "9" said calmly: "1" and "0". In fact, as long as you stand together, aren't you older than me? "1" and "0" looked at each other, and it took a long time to scratch their heads and laugh. " That's right! The power of unity is the most important! ""No.9 "said earnestly.
7. In the electronic calculator exhibition center of Mathematics City, the sales staff skillfully operate all kinds of electronic calculators and calculate various problems. The audience gave a burst of admiration from time to time, how fast and accurate it was. Many primary school students in the crowd are holding their parents and clamoring to buy electronic calculators. With it, it is great to do math problems!
"no!" Suddenly, a strange dwarf jumped on the counter and shook his hand and said to the pupils, "children shouldn't use such things." They should cultivate their own computing ability and learn simple algorithms from an early age. " With a good algorithm, it is sometimes faster than a calculator. "
Everyone focused on the dwarf, and when they looked closely, it turned out to be a small "5" nicknamed "Banzi".
"What? Can you calculate faster than my calculator? " The salesman asked strangely. Little "5" said, "Don't believe me, let's try." At some point, the little "5" said to everyone: "You can just quote a number and multiply it by 5. Salesman, please use the electronic calculator to calculate and see who is faster? "
"good!" Everybody shout together. Someone in the audience reported the formula "246×5" first.
1230 "small" 5 "blurted out.
"3 14×5、289×5……"
"1570, 1445 ..." Small "5" reported at one breath.
Before the salesman could finish the operation, the number was told by a small "5"
"good!" Everyone applauded warmly. Little "5" smiled and said, "This is called" plus zero to fold in half ",because 5 is half of 10, and a number is multiplied by 5. Expand this number by 10 times and then fold it in half. For example, 246× 5 = 2460 ÷ 2 = 1230. "
"Let's compare it again." The salesman said unconvinced.
"Well, let's calculate the square of any two-digit number whose last digit is 5." Small "5" said.
"equal to 3025." Small "5" is really fast, and it was reported at once.
At this time, even the salesman admired Xiao "5"' s articulate speech. Small "5" said: "Any last digit is the square of two digits of 5. Just multiply its ten digits by a larger number 1, and then add 25 after the product, and the result is obtained. For example, 752=5625, and 56 is the product of 7 and 8.
"Haha, this is very fast."
"Half, really smart, dare to compare skills with calculators; The method is wonderful, fast and accurate, and it is the big star of Mathematics City. " I don't know who made up some jingles and made everyone laugh.
Bajie opened a small grocery store. One day, the little monkey came to make a catty of vinegar for his family. The little macaque came to Uncle Shi's shop and shouted, "Uncle Shi, jealous!" " "
Bajie asked the little macaque how much vinegar he played. The little macaque said, "Not much, just one or two."
Pig was surprised and asked, "What's the use of vinegar?" The little macaque said, "Of course!" Pig asked again, "Is one or two enough?" The little monkey said, "Not enough, let's play one or two more!" " "
Pig asked again, "Two taels is not much?" The little monkey said, "Let's play again." Bajie hit once or twice again. The little monkey said, "Give me one or two, and then give me one or two ..." In this way, the little monkey made twelve ounces of vinegar, which is a catty of vinegar.
After drinking vinegar, the pig said, "* * * A catty of vinegar is eighty cents." The little macaque unhurriedly took out eighty cents and gave it to Uncle Bajie. Pig took the money and said, "No kidding, it's still 4 cents short!" The little macaque asked, "Uncle Shi, how much is a cup of vinegar?" "
Pig Pig said, "Of course, one or two ounces of vinegar is 8 cents and 4 cents, and you should give it away. Charge 8 cents. " The little monkey said, "So, one vinegar or two is 8 cents." "Of course," Pig said. The little macaque added, "Twelve ounces of vinegar is eighty cents!" "
Pig said, "It's accurate." The little monkey said, "I gave you eighty cents." How can you say that you still need 4 cents? " Bajie was speechless, lost another 40 cents, and watched the little macaque go away with vinegar.
Bajie opened a small grocery store. One day, the little monkey came to make a catty of vinegar for his family. The little macaque came to Uncle Shi's shop and shouted, "Uncle Shi, jealous!" " "
Bajie asked the little macaque how much vinegar he played. The little macaque said, "Not much, just one or two."
Pig was surprised and asked, "What's the use of vinegar?" The little macaque said, "Of course!" Pig asked again, "Is one or two enough?" The little monkey said, "Not enough, let's play one or two more!" " "
Pig asked again, "Two taels is not much?" The little monkey said, "Let's play again." Bajie hit once or twice again. The little monkey said, "Give me one or two, and then give me one or two ..." In this way, the little monkey made twelve ounces of vinegar, which is a catty of vinegar.
After drinking vinegar, the pig said, "* * * A catty of vinegar is eighty cents." The little macaque unhurriedly took out eighty cents and gave it to Uncle Bajie. Pig took the money and said, "No kidding, it's still 4 cents short!" The little macaque asked, "Uncle Shi, how much is a cup of vinegar?" "
Pig Pig said, "Of course, one or two ounces of vinegar is 8 cents and 4 cents, and you should give it away. Charge 8 cents. " The little monkey said, "So, one vinegar or two is 8 cents." "Of course," Pig said. The little macaque added, "Twelve ounces of vinegar is eighty cents!" "
Pig said, "It's accurate." The little monkey said, "I gave you eighty cents." How can you say that you still need 4 cents? " Bajie was speechless, lost another 40 cents, and watched the little macaque go away with vinegar.
9. Once upon a time, there was an old man. On his deathbed, his three sons gathered at the bedside.
He said to his sons, "I have prepared seventeen horses for you, and I will give them to three people." When the horse was divided, the boss contributed the most, with half of it; The second child, one third; The third is the youngest, so you can take one ninth of the total. "
After barely saying these words, the old man died. When the three brothers executed their wills, they agreed that these horses were their father's favorite things before his death, and they must never divide any of them into several pieces. But the will must be completely obeyed. What should we do?
As it happens, their old uncle came on horseback. After listening to the story, he raised his eyebrows and said, "I'll share it."
Guess, how did the old uncle divide the horse?
Because everyone wants an integer horse, according to the will, when dividing horses, the number of horses should be the common multiple of three denominators. The least common multiple of denominators 2, 3 and 9 is 18, so the total number of horses separated by horses should be a multiple of 18. The old man left his sons 17 horses, and the old uncle temporarily borrowed a horse he brought to make up the number. * * * There are 18 horses participating in the distribution.
Ready, the old uncle began to read and execute the will:
"... when dividing horses, the boss contributed the most, accounting for half ..." After reading this, the old uncle counted nine horses and asked the boss to take them:
Second, one-third of the total ... "After reading this, the old uncle counted six horses and let the second one lead him:
"The third is the smallest. You, take one-ninth of the total. " After reading the last sentence, the old man counted two horses and let the third horse lead him:
The sum of the horses divided by the three younger generations happened to be left by the father 17 horses;
9+6+2= 17。
There are 18 horses in the racecourse, and now there is only one left. Of course, my uncle borrowed it temporarily, and now it is still returned to its owner.
10. During the Warring States Period, Qi Weiwang and Tian Ji raced, and Qi Weiwang and Tian Ji each had three good horses: mounted, won and dismounted. The race is divided into three times, and thousands of dollars are bet on each horse race. Because the horsepower of the two horses is almost the same, and Qi Weiwang's horse is better than Tian Ji's, most people think that Tian Ji will lose. However, Tian Ji took the advice of his disciple Sun Bin (a famous strategist) and dismounted Qi Weiwang, Ma Zhong of Qi Weiwang and Qi Weiwang. As a result, Tian Ji beat Qi Weiwang 2-/kloc-0-and got a daughter. This is an example of China's ancient substitution game theory to solve problems.
Here is a game played by two people: take turns to report numbers, and the number reported cannot exceed 8 (nor can it be 0). Add up the figures reported by two people, and whoever reports more figures will win if the total is 88. If you were allowed to count first, how many times should you count first to win?
Analysis: Because everyone reports at least 1 and at most 8 at a time, someone reports and another person will find a number, so the sum of this number and a reported number is 9. According to the rules, whoever counts and makes the sum 88 wins, so it can be inferred that whoever counts and makes the sum 79 (= 88-9) wins. 88 = 9× 9+7, and so on. Whoever counts 16 wins. Furthermore, whoever reports 7 first will win. Therefore, the winning strategy of the first whistleblower is: report 7 first, and then if the other party reports K( 1≤K≤8), you report (9-K). In this way, you will win if you quote 10.
Landlord, I'm so tired from playing, please give me some ~
Don't copy, please respect yourself, or don't blame me for being rude.