** 1. Teaching objectives ** 1. Let the students understand the concept of the number matrix. Through the practice of arranging the numbers, the students 'observation ability and logical thinking ability will be cultivated. 2. Guide the students to master the basic skills of arranging and filling in numbers, including finding key numbers and discovering the pattern of numbers. 3. To stimulate the students 'interest in the relationship between figures and numbers in Mathematical Olympiad, and to improve the students' confidence in solving such problems. ** 2. Important and Difficult Points in Teaching ** 1. ** Teaching Focus ** - Master the method of finding rules from the sum, difference, product, quotient relationship of adjacent numbers and the relationship between interval numbers. - Learn to analyze the arrangement of numbers in the array and find the key numbers. 2. ** Teaching Difficulties ** - How to accurately discover the hidden patterns between the numbers in a more complicated array diagram? - Using various techniques to solve different types of problems. ** 3. Teaching Method ** Teaching method, discussion method, and practice method were combined. ** 4. Teaching process ** 1. ** import (5 minutes)** - It was about the story of Jingjing and Yingying in the Snow Elf Kingdom in Math Paradise. It led to the problem of filling the seven numbers 1 - 7 on the seven petals of the snowflake so that the sum of the numbers on every three petals on the same line was equal. To stimulate the students 'interest in the game, let the students have a preliminary understanding of the number array. 2. ** Knowledge explanation (15 minutes)** - ** Basic Skill 1: Analyzing the relationship between adjacent numbers ** - Take the sequence as an example, if you fill in the numbers according to the rules: 2, 1, 4, 1, 6, 1,( ),( ). He guided the students to observe and found that the odd terms were 2, 4, and 6, which was the law of increasing by 2 in turn, while the even terms were all 1. Therefore, 8 and 1 should be written in the parenthesis. - Another example is 3, 2, 9, 2, 27, 2,( ),( ). Here, the odd numbers are 3, 9, and 27, and the latter number is three times the previous number; the even numbers are all 2. Therefore, 81 and 2 should be written in the parenthesis. - ** Basic Skill 2: Analyzing the relationship between numbers ** - Give a sequence of numbers such as 18, 3, 15, 4, 12, 5,( ),( ). The students were guided to split the sequence into odd terms 18, 15, and 12, which was the rule of decreasing 3 in turn, and even terms 3, 4, and 5, which was the rule of increasing 1 in turn. Therefore, 9 and 6 should be written in the parenthesis. - For 1,15,3,13,5,11,( ),( ), the odd terms 1,3,5 are the law of adding 2 in turn; the even terms 15,13,11 are the law of decreasing 2 in turn. Therefore, 7 and 9 should be written in the parenthesis. - ** The key number in the array map ** - Using a simple triangular array as an example, the numbers on the three corners had a certain relationship with the number in the middle. For example, the number in the middle was equal to the sum of the numbers on the three corners. Starting from a number array with a complete set of known numbers, the students were guided to analyze the rules and find the key numbers (the numbers on the corners or the middle numbers) to determine the numbers in other positions. 3. ** Practice and consolidate (20 minutes)** - He gave some practice questions about the number matrix and the number sequence, such as: - Count the number of triangulations in the following picture (It involves the relationship between the number of numbers and the number of triangulations in the triangular array). - Find the pattern and fill in the numbers: 4, 7, 8, 4, 6, 13, 4, 5, 18,( ),( ),( ). - There was a numerical array diagram that showed some numbers. Students could find the pattern according to the skills they had learned and fill in other numbers. - Students were allowed to complete the exercises independently. Teachers would patrol and guide the students, and if they found any problems, they would correct them in time. 4. ** Class summary (5 minutes)** - Guide the students to review what they have learned in this lesson, including the relationship between adjacent numbers, the method of finding the relationship between numbers, and the analysis of the key numbers in the number matrix. - He emphasized that when solving the problem of arranging numbers, he had to observe carefully, think from many aspects, and try different methods to find the arrangement law of numbers. ** 5. Extension of Teaching ** He assigned homework to the students to complete some more complicated questions such as filling in numbers on a number matrix and finding the law of a number sequence to further consolidate the knowledge they had learned. Read more exciting novels for free
" The Dragon Clan's Blood of Huaxia " was written by Xi and Wangshu 02. It can be read online for free on the Zuoye novel website. The novel " White Dragon of the Dragon Clan " is equally exciting. Everyone is welcome to click and read it!
The rise of the country's animation industry indeed faced many challenges. On the one hand, despite policy support, they still faced greater pressure in the market competition. Compared to the mature animation industry overseas, there was still a lot of room for improvement in brand building and marketing. For example, some excellent Chinese comics lacked large IPs and traffic support, so it was difficult to gain widespread attention by relying on word of mouth. On the other hand, technological innovation required continuous investment of large amounts of resources. It was not easy to integrate modern creativity and international advanced technology while maintaining the characteristics of China traditional culture. Although some works had already achieved success in this area, such as 'Perfect World', the overall industry needed to reach a level of comprehensive rise. More works needed to achieve a high degree of unity in story, ideology, and culture while being well-made. In addition, in order to achieve the continuous rise of the national cartoon, not only must it meet the growing needs of the domestic audience, but it must also gain wider recognition in the international market. Under the influence of different factors such as cultural differences and market rules, it is a long way to go to international development. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The following are some cold signatures suitable for primary school girls: 1. Don't try to get close to me. I have my own little world. 2. I'm going my way, you don't have to follow me. 3. My indifference is a coolness that you don't understand. 4. Don't bother me. I'm busy being outstanding. 5. Don't play tricks in front of me. I'm not interested. 6. You have your excitement, I have my tranquility. 7. I don't need you to barge into my world. 8. I'm not passionate, but I'm not cold to those who deserve it. But first, you have to prove that you're worth it. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
" After Swapping Bodies with the Demon Lord " was a novel that involved the Demon Lord Chong Lou and the male protagonist swapping bodies. In the novel, Xie Weining transmigrated into an ancient Xianxia novel and became the daughter of the Immortal Emperor. When she transmigrated, she accidentally swapped bodies with the villain of the original book, Demon Lord Chong Lou. The two helped each other to avoid being discovered. As their feelings warmed up, they discovered various plots around them. Finally, they led the two worlds of immortals and demons to deal with the enemy together and maintain peace in the world. In addition," Transdimensional Book " also involved related plots. It was a novel about a cowardly woman who was afraid of death versus a cold, violent, and straight man. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The long-lost love story could be viewed on the Himalayas app. Had he not watched enough of Long Lovesickness 2? Hurry up and read the original work of " Everlasting Lovesickness 2: A Vow of Love "!
Unexpectedly received a bouquet of flowers. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
There are the following ways to take a selfie on WeChat to activate the beauty camera function: 1. It could be activated through the phone's settings. First open the phone settings. Some phones can find "Quick and Assist" in the settings and open it, then find "Video Call Beauty", click open, find WeChat and turn on the switch; If the beauty function is not set in "Quick and Assist", you can search for "Beauty" on the settings homepage, and it will show where to open it and how to open it, or you can directly open it. 2. He opened WeChat and saw a hidden way to take a selfie. There were two entrances to WeChat. Normally, when you took a video, you could click the "plus" button and then click the "shoot" button. There was no beauty adjustment switch. You could switch to another shooting method. After seeing the "photo album" function, you could press and hold for two seconds to enter the hidden camera. At this time, you could open the beauty button when you took a photo. You could click on the "beauty" button. There were functions such as "skin polishing","skin tone whiteness", and "thin face" that could be adjusted automatically before taking a photo. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
According to the reference information, there is a novel that transmigrated to the Ming Dynasty. The protagonist became the second son of the eldest son of the eldest son of the <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Here are some off - the - beaten - track places worth visiting. (There are some small attractions worth visiting here.) <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
The English translation of " renovation of old things " could be " Upcycling,"" repurposing old items," or " Reconstruction of old buildings." <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>