Math 12 Chapter 1 Day 5 notes
一年级下册第12页的数学作文的答案
一年级下册第12页的数学作文的答案Mathematics is an important subject for young students to learn. 数学是一个对年轻学生来说很重要的学科，它不仅可以帮助他们提高逻辑思维能力，还可以培养他们的数学素养和解决问题的能力。
First of all, learning mathematics can help children develop problem-solving skills. 首先，学习数学可以帮助孩子们培养解决问题的能力。
Through solving math problems, students learn to analyze and break down complex issues into manageable parts, which is a valuable skill in many areas of life. 通过解决数学问题，学生们学会分析和拆解复杂问题，这是生活中许多领域中都非常有价值的技能。
Secondly, mathematics plays a crucial role in developing logical thinking in young children. 其次，数学在培养年幼儿童的逻辑思维能力方面起着至关重要的作用。
By working through mathematical equations and concepts, students are able to enhance their critical thinking and reasoning abilities. 通过解决数学方程式和概念，学生们可以增强他们的批判性思维和推理能力。
Furthermore, mastering the basics of mathematics early in life can have long-term benefits, both academically and professionally. 此外，在生活早期掌握数学的基础知识可以在学业和职业方面带来长远的好处。
math kangaroo level1 题库
math kangaroo level1 题库Math Kangaroo Level 1是一个专为小学生设计的数学竞赛项目，旨在激发学生对数学的兴趣和热爱。
Level 1的题目涵盖了加减乘除、几何、逻辑推理等多个领域，考察学生的数学运算能力和解决问题的能力。
以下是一些Math Kangaroo Level 1题库中常见的题目类型及解题方法：一、加减乘除题目：1. 题目：有一只小狗，它有3个小骨头，如果再给它5个小骨头，它一共有多少个小骨头？解题方法：将已有的小骨头数目3个和新增的小骨头数目5个相加，即3+5=8，小狗一共有8个小骨头。
2. 题目：小明有12颗糖果，他分给小红2颗，小蓝3颗，小绿4颗，他自己还剩下多少颗糖果？解题方法：将小明拿到的糖果数目12颗减去分给小红、小蓝和小绿的糖果数目2颗、3颗和4颗，即12-2-3-4=3，小明自己还剩下3颗糖果。
二、几何题目：1. 题目：如图，正方形的一条边长为5厘米，求正方形的周长和面积。
解题方法：正方形的周长等于4倍边长，即4*5=20厘米；正方形的面积等于边长的平方，即5*5=25平方厘米。
2. 题目：如图，一个长方形的长为8厘米，宽为3厘米，求长方形的周长和面积。
解题方法：长方形的周长等于长和宽的两倍之和，即2*(8+3)=22厘米；长方形的面积等于长乘以宽，即8*3=24平方厘米。
三、逻辑推理题目：1. 题目：小明说：“我有3个好朋友，他们的名字是小红、小蓝和小绿。
”，小红说：“小蓝是我最好的朋友。
”，小蓝说：“小绿是小明的好朋友。
”，小绿说：“小明的好朋友不是小蓝。
”，请问小红的最好的朋友是谁？解题方法：根据小红的话，小蓝是小红的最好的朋友；根据小蓝的话，小绿是小红的最好的朋友；因此，小绿是小红的最好的朋友。
2. 题目：小狗、小猫和小兔子一起玩，小狗说：“小猫的颜色和小猫的耳朵一样。
”，小猫说：“小狗的颜色和小猫的颜色不一样。
”，小兔子说：“小猫的颜色和小狗的耳朵一样。
指定每天学习计划的英文
指定每天学习计划的英文6:00am-7:00am: Morning Routine- Wake up- Do some stretching exercises- Meditate for 10 minutes- Take a shower and get dressed7:00am-8:00am: Breakfast and Planning- Eat a healthy breakfast- Review the day's schedule and plan out study sessions 8:00am-10:00am: Language Study- Read a chapter of a English textbook and take notes- Watch a documentary or listen to a podcast in English- Write a short essay or journal entry in English10:00am-12:00pm: Science and Math- Work on math problems and exercises- Watch educational videos on science topics- Research and write a summary of a scientific article 12:00pm-1:00pm: Lunch Break- Eat a nutritious lunch- Take a short walk or do some light exercise1:00pm-3:00pm: History and Social Studies- Read a chapter from a history book- Watch a historical documentary- Research and write a report on a historical event or figure 3:00pm-5:00pm: Break and Relaxation- Take a nap or rest- Go for a walk outside- Listen to music or do a creative activity5:00pm-7:00pm: Foreign Language Practice- Review vocabulary and grammar in a foreign language- Practice speaking and listening exercises- Watch a foreign film or TV show with subtitles7:00pm-8:00pm: Dinner and Recreation- Have a balanced dinner- Spend time with family or friends- Engage in a recreational activity or hobby8:00pm-10:00pm: Review and Revision- Review the day's lessons and notes- Complete any unfinished assignments or exercises- Plan out the next day's study schedule10:00pm: Bedtime Routine- Wind down and relax- Reflect on the day's progress and achievements- Read a book or listen to calming music before going to sleepThis daily study plan is designed to help you stay organized, focused, and productive. By following this schedule, you can effectively manage your time and make the most out of your study sessions. Remember to take breaks, stay active, and nourish both your body and mind throughout the day. With dedication and perseverance, you can achieve your learning goals and excel in your academic pursuits.。
胡壮麟语言学课件chapter12(名牌大学教授整理)
Chapter 12
15
第三、布拉格学派在另一种意义上把语言 看作功能，即语言是使用语言的社团完成 一系列基本功能和任务的工具。
Chapter 12
16
The Prague School
1. Phonology and phonological oppositions
The Prague School is best known and remembered for its contribution to phonology and the distinction between phonetics and phonology. The most influential scholar in this connection is Trubetzkoy, whose most complete and authoritative statements of principle are formulated in his Principles of Phonology published in 1939. Following Saussure's distinction between langue and parole, he argued that phonetics belonged to parole whereas phonology belonged to langue.
make clear the object of study for
linguistics as a science. He believed that
language is a SYSTEM OF SIGNS,
called conventions. He held this sign is
My Days of the week
My Days of the week1The Rhythm of My Weekly LifeLife is like a beautiful symphony, composed of various notes and rhythms. Each week is a unique movement in this grand composition, filled with different experiences, emotions, and learnings. Let me take you on a journey through my past week, a week that was both ordinary and extraordinary.1. MondayMonday dawned with a burst of energy. I woke up early, feeling the anticipation in the air. It was the day of the much-awaited basketball game. The sun was shining bright, and the court was calling my name. As I stepped onto the court, the adrenaline rush was palpable. The sounds of sneakers screeching, the cheers of the crowd, and the thumping of the ball against the floor created a symphony of its own. We played with passion and determination, giving it our all. Every pass, every shot, and every defense was a moment of excitement. At the end of the game, regardless of the outcome, I felt a sense of achievement. It wasn't just about winning; it was about the teamwork, the effort, and the joy of playing the game Ilove.2. TuesdayTuesday was a day of tranquility. I found myself lost in the world of books at the library. The smell of old pages and the silence that surrounded me provided a haven for my thoughts. I picked up a classic novel and let myself be transported to different times and places. The words on the pages became my companions, and I felt a connection with the characters and their stories. It was a day of reflection and learning, asI absorbed the wisdom and creativity of the authors.3. WednesdayWednesday brought a change of pace as I joined my friends for a volunteer activity. We spent the day helping at a local shelter, providing food and comfort to those in need. Seeing the smiles on the faces of the people we assisted filled my heart with warmth. It made me realize the power of giving and the impact even a small act of kindness can have on someone's life.4. ThursdayThursday was a day of challenges at school. The pile of assignments and the pressure of upcoming exams loomed over me. But I faced them head-on, determined to overcome the obstacles. Late into the night, I satat my desk, poring over textbooks and notes, knowing that hard work would pay off in the end.5. FridayFriday was a relief. The week's stress started to melt away as I spent the evening with my family, sharing stories and laughter over a delicious dinner. It was a reminder of the importance of these precious moments and the love that binds us together.6. SaturdaySaturday was a day for adventure. I went hiking with a group of friends, breathing in the fresh air and taking in the beauty of nature. The climb was tough, but the view from the top was worth every step. It was a day of pushing my limits and discovering my resilience.7. SundayAs the week came to an end on Sunday, I took a moment to reflect. It had been a week filled with ups and downs, joys and challenges. I had learned new things, made memories, and grown as a person. I realized that each day is a gift, and it's up to us to make the most of it.This past week has been a chapter in the story of my life, and I look forward to the many more to come, ready to embrace whatever they may bring.21. The Colorful Canvas of My Weekly DaysLife is like a colorful canvas, and each week is a unique stroke of paint that adds to the masterpiece. Let me take you on a journey through my eventful week, filled with various experiences and emotions.2. MondayMonday was a vibrant start to the week. I joined the school's art club and had the most wonderful time. We were given a task to create a mural for the school hallway. The theme was "Dreams and Aspirations." Working together with my fellow club members, sharing ideas, and bringing our imagination to life on that blank wall was truly amazing. The sense of teamwork and the joy of creating something beautiful made my Monday a memorable one.3. TuesdayTuesday was a day filled with warmth and love. I spent the entire day with my family. We went on a picnic to a nearby park. The sun was shining, and the grass was green. We played games, laughed, and shared stories. It was a simple yet precious time that reminded me of the importance of family bonds.4. WednesdayWednesday brought challenges in my studies. I had a difficult math test that seemed almost impossible to crack. But I refused to give up. I spent hours poring over textbooks, seeking help from my teachers and classmates. Eventually, with determination and hard work, I managed to overcome the hurdles. That day taught me the value of perseverance and the satisfaction that comes with it.5. ThursdayThursday was a bit tumultuous. I had a fierce argument with my best friend over a trivial matter. We both said hurtful things and were left feeling angry and sad. However, by the end of the day, we realized the importance of our friendship and decided to put aside our egos and make up. It was a lesson in forgiveness and understanding.6. FridayFriday was a day of excitement and competition. I participated in a sports event at school - the 100-meter dash. The adrenaline rush as I stood at the starting line, the cheers of the crowd, and the feeling of crossing the finish line with all my might was an experience I'll never forget. It was a moment of victory and pride.7. SaturdaySaturday was a day of giving back. I joined a volunteer activity at a local orphanage. Seeing the smiles on the children's faces as we played with them and distributed gifts filled my heart with a sense of purpose. It made me realize how fortunate I am and the need to spread kindness.8. SundaySunday was a peaceful day of solitude. I spent the entire day at home, curled up with a good book. The quietness of the house allowed me to immerse myself in the world of words, reflecting on the week that had passed.Looking back at this week, it was a mixture of joy, challenges, learning, and growth. Each day was a unique lesson, shaping me into a better person. I have learned to appreciate the good times, face the difficulties head-on, cherish relationships, and find meaning in giving. This colorful canvas of my weekly days is a reminder of the beauty and complexity of life, and I look forward to painting many more such wonderful weeks in the future.3The Rhythm of My Weekly LifeLife is a beautiful symphony, composed of various notes andrhythms. Each week is like a unique movement in this grand symphony, filled with different experiences and emotions. Let me take you through the rhythm of my weekly life.1. Monday is always a fresh start.I joined the school's literature club, where passionate discussions and exchanges of ideas filled the air. We shared our favorite books and poems, and the enthusiasm of my fellow club members inspired me to explore more profound literary works. The day was filled with the excitement of intellectual exploration.2. Tuesday brought challenges.I encountered a difficult math problem during class that seemed insurmountable at first. But I refused to give up. I spent hours poring over textbooks and seeking help from teachers and classmates. Finally, with perseverance and the support of others, I found the solution. This experience taught me the value of persistence and the power of teamwork.3. Wednesday was a day of joy and friendship.I had a wonderful gathering with my friends. We laughed, shared stories, and enjoyed each other's company. It was a time to forget about the stress of school and simply enjoy the moment. The bonds offriendship grew stronger, and I felt truly grateful for having such amazing friends in my life.4. Thursday witnessed my shining moment in the classroom.I actively participated in the discussion, presenting my thoughts and insights clearly. The praise from the teacher and the nods of approval from my classmates filled me with confidence and a sense of achievement. It was a day that made me believe in my abilities and the importance of seizing opportunities to express myself.5. On Friday, I attended an art class after school.I immersed myself in the world of colors and creativity, expressing my emotions and imagination through brushstrokes. The art class was not only a form of relaxation but also a way to develop my artistic skills and appreciation for beauty.6. Saturday was dedicated to outdoor activities.I went hiking with my family, breathing in the fresh air and enjoying the beauty of nature. The mountains, the rivers, and the vast blue sky made me feel small yet connected to the vast world. It was a day of rejuvenation and a reminder of the importance of disconnecting from the digital world and reconnecting with nature.7. Sunday was a day of family time.We cooked together, played games, and shared stories. The warmth and love within the family made me feel safe and cherished. It was a day to recharge and reflect on the week that had passed.Looking back on this week, I have experienced a range of emotions and learned many valuable lessons. I have faced challenges and overcome them, enjoyed the company of friends and family, and pursued my interests and passions. Each day has been a step forward in my journey of growth and self-discovery. I look forward to the new rhythms and melodies that the coming weeks will bring.。
mathmatic(1)
作业一、 汉译英1．唯一性：若数列{n x }收敛，则它只有一个极限.证明. 设lim ,n n x A →∞= 对于给定的正数ε，存在正整数1,N 对于一切 1,n N >有||.2n x A ε-< （1） 又设lim ,n n x B →∞= 对于上述的正数ε，存在正整数2,N 对于一切2,n N >有||.2n x B ε-< （2） 取12max{,},N N N =当,n N >（1）与（2）式都成立，此时有|||()()|||||,22n n n n A B x B x A x A x B εεε-=---≤-+-<+=即||,A B ε-<由于A ，B 均为常数，而ε是任意正数，故只能.A B =2．作业一、 汉译英1．唯一性：若数列{n x }收敛，则它只有一个极限. 证明. 设lim ,n n x A →∞= 对于给定的正数ε，存在正整数1,N 对于一切 1,n N >有||.2n x A ε-< （1） 又设lim ,n n x B →∞= 对于上述的正数ε，存在正整数2,N 对于一切2,n N >有||.2n x B ε-< （2） 取12max{,},N N N =当,n N >（1）与（2）式都成立，此时有|||()()|||||,22n n n n A B x B x A x A x B εεε-=---≤-+-<+=即||,A B ε-<由于A ，B 均为常数，而ε是任意正数，故只能.A B =2． 基于学生数学能力结构的分析提出的培养建议摘要 公民数学素养的提高无论对于社会发展还是其个人发展都具有重要意义。
为了提高中小学数学教育质量，必须明确中小学数学能力结构。
中小学生的数学能力可以分为两个层次，运算能力、空间想象能力、信息处理能力是第一个层次，逻辑思维能力和问题解决能力是第二个层次；模式能力在这两个层次之间起着非常重要的桥梁作用。
算法导论 第三版 第十二章 答案 英
3
Algorithm 1 PREORDER-TREE-WALK(x) if x = N IL then print x PREORDER-TREE-WALK(x.left) PREORDER-TREE-WALK(x.right) end if return Algorithm 2 POSTORDER-TREE-WALK(x) if x = N IL then POSTORDER-TREE-WALK(x.left) POSTORDER-TREE-WALK(x.right) print x end if return
Exercise 12.2-3
Algorithm 5 TREE-PREDECESSOR(x) if x.lef t = N IL then return TREE-MAXIMUM(x.left) end if y = x.p while y = N IL and x == y.lef t do x=y y = y.p end while return y Exercise 12.2-4 Suppose we search for 10 in this tree. Then A = {9}, B = {8, 10} and C = ∅, and Professor Bunyan’s claim fails since 8 < 9. 8
Chapter 12
Michelle Bodnar, Andrew Lohr April 12, 2016
Exercise 12.1-1 Anytime that a node has a single child, treat it as the right child, with the left child being NIL 10
Algebra1中英版对照目录
解两侧有变量的一元一次不等式 P194—P201 3—6：Solving Compound Inequalities
解混合一元一次不等式（一元一次不等式组）P202—P209 Quiz for Chapter 3 第三章小测试 P210—P225 CHAPTER 4—Functions 函数 4—1：Graphing Relationships 关系图（函数关系图）P230—P235 4—2：Relations and Functions 函数的对应关系 P236—P244 4—3：Writing Functions 函数的表达式 P245—251 4—4：Graphing Functions 函数的图像（直线、二次函数）P252—P260 CHAPTER 4—Functions 函数 4—5：Scatter Plots and Trend Lines 点的散布图与趋势线 P262—P271 4—6：Arithmetic Sequences 等差数列 （等差数列的项和通项）P272—P278 Quiz for Chapter 4 第四章小测试 P279—P291 CHAPTER 5— Linear Functions 一次函数 5—1：Identifying Linear Functions 识别一次函数 P296—P302 5—2：Using Intercepts 截距式（一次函数与坐标轴的交点）P303—P309 CHAPTER 5— Linear Functions 一次函数 5—2：Using Intercepts 截距式（一次函数与坐标轴的交点）P303—P309 5—3：Rate of Change and Slope 变化率和斜率 P310—P319 5—4：The Slope Formula 斜率的公式 P320—P325 5—5：Direct Variation 正比例函数 P326—P332 5—6：Slope-Intercept Form 斜截式方程 P334—P340 5—6：Point-Slope Form 点斜式方程 P341—P348 5—8：Slope of Parallel and Perpendicular Lines 相互平行与垂直直线的斜率
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Day 5Notes:Section 1.6Combining Transformations:Example:Given the original function ()x f y =state all transformations on the function as indicated by the new equation:
a)()[]1642++−−=x f y b) −−=321x f y
Answers:
a) ()[]1642++−−=x f y
Reflection in the x-axis Reflection in the y-axis Horizontal compression by a factor of 41 Vertical expansion by a factor of 2 Slide 6 units left Slide 1 unit up
b) −−=321x f y
−=∴f y
Example: Given x y =, write the new equation for the function given all of the following transformations:
• Reflect in the y-axis
• Compress horizontally by a factor of 3
1 • Translate 5 units left
• Translate 1 unit down
* * It is important to note that a function must first be written in standard form before stating any transformations. Specifically, the coefficient on “x” must be 1. If it is not 1, it must be factored out within the function. Reflection in the x-axis factor of 2
Answer: ()153−+−=x y or 1153−−−=x y
Graphing functions having more than one transformation:
• Be sure the equation is in standard form
• Draw a table of values with some basic points from the original curve • Expansions/Compressions are always calculated first (Remember that multiplying always comes before adding or subtracting in BEDMAS) • Translations/Slides are done last
• Plot the new coordinates and sketch in the new curve
• Check with your graphing calculator where appropriate
Example: Use a table of values to sketch the following: ()61212+ −−=x y Answer:
points from the most basic 2x y =
Example: Use a table of values to sketch the following: 463−−−=x y
Answer: Before any analysis can take place, the equation must be re-written in standard form, i.e. the -1 must be factored out within the function
Example: Given ()x f y =, graph ()512−−=x f y using a table of values:
Answer:
y
Basic points from
()x f y = =y。