Understand the practical significance of the exponential power of irrational numbers.

Second, preview the content

Explain the meaning of pages 52 to 53 of the textbook.

Third, ask questions.

Students, if you have any questions about autonomous learning, please write them on the horizontal line below:

Classroom inquiry learning plan

I. Learning objectives

1. Proficient in the conversion between radical and fractional exponential power.

2. Understand the concept of exponential power of irrational numbers.

Learning focus: exponential power operation of real numbers and understanding of exponential power of irrational numbers.

Learning difficulties: understanding the exponential power of irrational numbers

Second, the learning process

1. Explain the meaning and understand the reciprocity of fractional exponential power sum roots. The practical significance of inquiry.

2. Reflection and summary

It is concluded that in general, the exponential power of irrational number is a definite real number. The exponential power operation of rational numbers is also applicable to the exponential power of irrational numbers.

3. Classroom testing

(1) With reference to the above process, explain the meaning of exponential power of irrational numbers.

Practice and improve after class

1. The following statement is wrong ()

A. the radical can be expressed by fractional exponential power.

B. Exponential power table is the product of the same formula, but it is written in a new way.

C. Some exponential powers of irrational numbers are not real numbers.

D. The operational nature of the exponential power of rational numbers is applicable to the exponential power of irrational numbers.

The design of this lesson adopts the preview study plan issued before class. Students preview this section and find out their own confusion. In the classroom, teachers and students mainly solve the key points, difficulties, doubts, test sites, exploration points, forgettable and confusing points in the students' learning process. Finally, they conduct in-class tests and expand after class to improve classroom efficiency.

What is the basic physical quantity, the unit of physical quantity, the derived unit, the unit system and the understanding of the importance and unity of the unit system in this lesson are important contents in the textbook.