1.4.06L = () cubic decimeter () cubic centimeter.
2.7.45 square meters = () square centimeters 108 square decimeter = () square meters.
3. Cut its edge along one () of the cylinder, and you can get one (), one side is equal to () of the cylinder, and the other side is equal to () of the cylinder.
4. If you only represent the quantity of various kinds, you can choose () statistical chart; If you want to show the change of quantity, you can choose () statistical chart; If you want to clearly understand the relationship between the number of each part and the total, you can use () statistical chart to express it.
5. The radius of the cylinder bottom is 2cm, the height is 3cm, the bottom area is () cm2, the side area is () cm2, and the volume is () cm3.
6. Roll a square paper with a side length of 5 decimeters into a cylinder with a side area of () square decimeters.
7. Cut a cylindrical wood with a volume of 63 cubic centimeters into the largest cone, and the volume of this cone is () cubic centimeters.
8. The picture on the right shows the surface development of the cylinder. The side area of this cylinder is () square centimeters and the surface area is () square centimeters.
9. There are 10 three-wheeled baby carriages and four-wheeled baby carriages in the mall. A * * * has 36 wheels. How many kinds of buggies are there?
(1) Suppose that 10 baby carriages are all four-wheeled, with () wheels, more than 36 wheels, and each four-wheeled baby carriage has 1 wheel more than each three-wheeled baby carriage. The extra wheels are () children's tricycles.
(2) Assume that 10 children's cars are all three-wheeled, and * * * has () wheels, less than 36 wheels. Each three-wheeled children's car has less 1 wheel than each four-wheeled children's car, and () wheels less is () children's four-wheeled car.
Second, judgment.
1. The cone volume is 13 of the cylinder volume. ()
2. The side areas of two cylinders are equal, but the volumes are not necessarily equal. ( )
A cylinder with equal base and equal height is 24 cubic centimeters larger than a cone, and the volume of this cylinder is 36 cubic centimeters. ( )
Cylinders and cones have only one height. ( )
5. Statistical charts are more intuitive than statistical tables. ( )
6. Find the surface area of the ventilation pipe, that is, find its lateral area. ( )
Third, multiple choice questions
1. The radius of the bottom surface of the cylinder is enlarged by 2 times, and its volume is enlarged under the condition of constant height ().
A, 12 B, 2 c, 4 d, 8 times.
2. If we want to express our school 2000 intuitively? The number of boys and girls in grade six in 2007 should be reflected by ().
A, bar chart b, line chart c, fan chart
3. Girls account for 56% in fan picture A and 45% in fan picture B. The number of girls shown in two pictures A and B ().
A, A is greater than B, A is less than B, and C is uncertain.
4. Compare the volumes of cuboids, cubes and cylinders with equal bottoms and heights. ( )
A, the cuboid is big b, the cube is big c, and the cylinder is big d, all of which are the same.
5. The volume and bottom area of a cone are equal to the volume and bottom area of another cylinder. Given that the height of this cone is 6 cm, the height of the other cylinder is () cm.
a、2 B、3 C、 12 D、8
6. The following are two different divisions of the same cylinder by two students. (divided into two pieces on average)
After nail cutting, the surface area increased (); After splitting B, the surface area increased ().
A: y B, 2yh C, 2? y2 D、4yh
7. The volume of a cylindrical barrel is 10 times its volume.
A, greater than B, less than C, equal to D, uncertain.
8. The volume of a cone is the volume of a cuboid with the same base ().
A, 13 B, 12 C, 14 D, 3 times.
9. Cut a 5-meter-long log into three small logs, increasing the surface area by 8 square decimeters. The volume of this log is () cubic decimeter.
a、 10 B、40 C、 100 D、200
Verbs (short for verb) solve problems.
1. There are 36 students in the art group of experimental primary school, and the number of girls is 80% of that of boys. How many boys and girls are there in the art group?
2. Master Wang has processed a batch of parts, four-tenths of which have been completed, and there are still 50 unfinished parts. How many parts did Master Wang complete?
3. Make a cylindrical biogas digester with a bottom diameter of 4m and a depth of 2m. Apply cement to the bottom and around it. What is the area of plastering part? What is the volume?
There are three stacks of Go, each with 60 pieces. There are as many sunspots in the first pile as there are in Bai Zi in the second pile, and two thirds in the third pile are Bai Zi. How many Bai Zi are there in these three piles?
5. A cylindrical glass jar with a bottom diameter of 20 cm. Put a cone with a bottom radius of 8 cm into the water completely, and the water level will rise by 3 cm. Find the volume of this cone.
Sixth grade math review plan
First, review content and review objectives
(a) review content
Unit 1: Location Unit 2: Unit 3: Fractional Division Unit 4: Circle
Unit 5: Percentages Unit 6: Statistics Unit 7: Mathematical Wide Angle
Review target
Through the final stage of the volume, highlight the key points of review, so that students can have a systematic grasp of the contents of this volume, especially the basic concepts, calculation formulas, calculation rules and solutions.
Second, the overall requirements and difficulties of this textbook review:
(1) fractional multiplication
Review requirements:
1, so that students can understand the significance of fractional multiplication, master the calculation rules of fractional multiplication, and be skilled in calculation.
2. Make students master the mixed operations of fractional multiplication and addition, multiplication and subtraction, understand that the laws of integer multiplication are also applicable to fractional multiplication, and can apply these laws to some simple operations.
3. Let the students solve the application problem of finding the score of a number.
4. Make students understand the meaning of reciprocal and master the method of finding reciprocal.
(emphasis: the significance and method of fractional multiplication; Difficulties: Fractional application questions)
(2) Fractional division
Review requirements:
1, so that students can understand the significance of fractional division, master the calculation rules of fractional division, and be skilled in calculation.
2. Enable students to use equations or arithmetic methods to solve application problems that know what the score of a number is.
3. Make students understand the meaning and basic properties of ratio, simplify and calculate ratio correctly, understand the relationship between ratio and fraction and division, and solve the application problem of proportional distribution.
(emphasis: the significance and method of fractional division; Difficulties: Fractional application questions)
(3) Grading elementary arithmetic and application problems
Review requirements:
1 enables students to grade elementary arithmetic, and some simple algorithms can be applied to recalculation.
2. Make students learn to solve fractional application problems with two-step calculation method, further improve their ability to solve application problems with arithmetic methods and equations, and use the knowledge they have learned to solve some simple practical problems.
(Emphasis and difficulty: fractional application problem of two-step calculation)
(4) Circle
Review requirements:
1, so that students can know the circle and master its characteristics; Understand the relationship between diameter and radius; Understand the meaning of pi and master the approximate value of pi.
2. Make students understand and master the formula for calculating the circumference and area of a circle, and correctly calculate the circumference and area of a circle.
3. Let students know arc, central angle and fan.
4. Make the students know the axial symmetry figure, know the meaning of axial symmetry, and find out the axis of symmetry of axial symmetry figure.
5. Introduce the historical data of pi, and educate students in patriotism.
Key points: the characteristics of the circle, the calculation formula of the circumference and area of the circle.
Difficulties: Derivation of the formula for calculating the area of a circle.
(5) Percentage
Review requirements:
1, so that students can understand the meaning of percentage, know its application in practice, and read and write percentage correctly.
2. Make students master the exchange of decimals, fractions and percentages.
3. Make students correctly answer percentage application questions on the basis of understanding the meaning of the questions and analyzing the quantitative relationship.
4. Understand the meaning of tax payment and interest, know their simple application in actual production and life, and make simple calculations in this respect.
Third, review key points:
This book focuses on fractional multiplication and division, and the application of fractions.
1. Make students firmly grasp the concepts, laws and formulas learned this semester, which can be used to guide calculation and solve some practical problems.
2. Through review, students can skillfully calculate fractional multiplication and fractional division, and correctly calculate fractional elementary arithmetic problems.
3. Can correctly answer the application questions of scores and percentages, and further improve the ability of analysis, judgment and reasoning.
4. Know the circle, master the characteristics of the circle, master the circumference, area and calculation formula of the circle, and calculate it correctly.
Fourth, review difficulties:
The difficulty in reviewing this book is fractional application problems (including percentage application problems).
Verb (abbreviation for verb) Review measures, methods and types.
Review measures
1. comprehensively and systematically sort out the knowledge system of the whole textbook, and check for missing parts.
2. Do a good job in reviewing and changing jobs, especially for students with learning difficulties.
3. Find problems regularly and in time, and conduct feedback exercises and targeted training.
(2) review method:
Explain, summarize, practice, discuss and communicate.
(3) Thematic review
1, number and algebra: fractional multiplication and division, percentage, mathematical wide angle
2. Space and figure: position and circle
3. Probability statistics: fan chart.
Review progress and content of intransitive verbs:
65438+February 6 10 Review Unit 1 and Unit 4.
65438+February 13 17 specially reviewed Unit 2, Unit 3, Unit 5 and Unit 7.
Review the application problems of multiplication and division on February 20, 2004.
65438+February 27th 3 1 mock exam (1), (2) and (3)
Review method of sixth grade mathematics
First, make a feasible review plan and carry it out seriously.
In order to make the review targeted, purposeful and feasible, and find out the key points and difficulties, the outline (curriculum standard) is the basis of the review, and the teaching materials are the blueprint for the review. When reviewing, we should grasp the difficulties, doubts and the reasons why all knowledge points are easy to make mistakes, so that the review can be targeted and get twice the result with half the effort.
Second, sort out and strengthen the systematicness of review.
The important feature of review is that under the guidance of system principle, the knowledge learned is systematically sorted out to form a relatively complete knowledge system, which is conducive to the systematization of knowledge and the grasp of its internal relations, and is convenient for integration. It is necessary to carry out training in an orderly manner and really improve the review effect.
Third, differentiate and compare, and clarify the concept of confusion.
For confusing concepts, we must first grasp the comparison of meanings, and then analyze the confusing concepts. Grasp the essence of the concept in an all-round way, avoid the interference of different concepts, find the methods that are easy to be confused, and make clear the solutions.
Fourth, multiple solutions to one question, multiple solutions to one question, improve the flexibility of solving problems.
Some problems can be analyzed from different angles and different solutions can be obtained. Multiple solutions to a problem can cultivate the ability to analyze problems. Ability to solve problems flexibly. Different ways to solve problems, different formulas, the same result, the same result. At the same time, it also inspired other students and broadened the thinking of solving problems. Although some application problems have different forms, the method of solving them is the same. When reviewing, we should think from different angles and classify all kinds of exercises, so as to integrate what we have learned and improve the flexibility of solving problems.
Fifth, be targeted and explore innovation.
Mechanical repetition, talking about everything and practicing everything, is the taboo of review. Review must be purposeful and focused, and summarize and summarize the knowledge learned. We should be open to innovation, so that we can fully develop our thinking, correctly evaluate ourselves, consciously fill in gaps and check leaks, face complex and changeable topics, carefully examine topics, find out the relationship between knowledge structure and knowledge laws, explore hidden conditions, think more and discover more, and get our own experience.