The view of ability is opposite to the view of knowledge, which emphasizes the comprehensive ability of students to solve various common mathematical problems, especially the ability to solve practical and innovative problems. The view of knowledge focuses on testing students' mastery of important and difficult knowledge in propositions and investigations.

The purpose and starting point of the investigation of the concept of ability and knowledge are different, but at the same time they complement each other. Knowledge inspection is the carrier of ability inspection, and ability inspection is the ultimate goal of current knowledge inspection.

Form of mathematical proposition:

1. For two propositions, if the conditions and conclusions of one proposition are the conclusions and conditions of the other, then these two propositions are called reciprocal propositions, one of which is called the original proposition and the other is called the inverse proposition of the original proposition.

2. For two propositions, if the conditions and conclusions of one proposition are the negation of the conditions and conclusions of the other, then these two propositions are called mutually negative propositions, one of which is called the original proposition and the other is called the negative proposition of the original proposition.

3. For two propositions, if the condition and conclusion of one proposition are the negation of the conclusion and condition of the other proposition, then these two propositions are called mutually negative propositions, one of which is called the original proposition and the other is called the negative proposition of the original proposition.