High school mathematics solid geometry error-prone knowledge points are summarized as follows:

1. Have you mastered the intuitive drawing of spatial graphics on the plane? (oblique mapping).

2. Have you mastered the definitions, judgments and property theorems of line-plane parallelism and plane-plane parallelism? The application of the connection and transformation among line-line parallelism, line-plane parallelism and plane-plane parallelism in solving several problems. What are the conversion conditions between degrees of parallelism?

3. Do you still remember the three vertical theorems and their inverse theorems? Do you know what is the key of the three vertical theorems? (One side is four lines and three verticals, and the vertical column is the key) One side is four straight lines, and the vertical column is the key. Look at three places vertically.

3. The judgment theorem and property theorem of line-plane parallelism are three conditions in application, but these three conditions are easily confused; The judgment theorem of plane-to-plane parallelism is easy to record the condition as "two intersecting straight lines in one plane are parallel to two intersecting straight lines in another plane", which leads to too big steps in the proof process.

4. If the angle is 90, don't forget that there is another way to find the angle, that is, to prove their perpendicularity.

5. When using the "translation method" to solve the angle formed by straight lines on different planes, we must pay attention to the fact that the angle obtained after translation is equal to the angle (or the remaining angle), especially when the topic talks about the angle formed by straight lines on different planes, we must proceed from the meaning in the topic, whether to use the acute angle or the remaining angle, or both.

6. Do you know the meaning of each letter in the formula: sum? Can you skillfully use them to solve problems?

7. Angle range formed by two straight lines on different planes: 0 α≤ 90.

The range of the angle formed by the straight line and the plane: 0o≤α≤90.

The plane angle range of dihedral angle is 0 ≤α≤ 180.

8. Do you know how to use the distance formula between two points on a straight line on a different plane?

9. Pay attention to the "invariance" and "invariance" of geometric elements before and after folding and unfolding.

10. The solution of several problems is divided into three steps: doing, proving and calculating. Do you only pay attention to doing and calculating, but ignore the important step of proof?

1 1. Prism and its properties, parallelepiped and cuboid and its properties. Have you mastered this knowledge? (Pay attention to solving problems with vector method)

Ball and its characteristics; The definition of latitude and longitude is confusing. Longitude is dihedral angle, latitude is the distance between line and surface angle and sphere; Formula of surface area and volume of ball.