1, complete square formula deformation formula: two square terms are at both ends, and the bottom product is twice in the middle. The sum of the same base and the square, the sum of the reciprocal of all negative numbers and the square. Divided into two base difference squares, the square product should be negative. Both sides are negative, the middle is positive, and the square of cardinal difference is inverse. One side after another, the bottom product is twice that of the middle. Three plus two cardinality and square, all negative and square negative.
2. Overview of the square difference formula: The square difference formula refers to a simplified form obtained by clever expansion and simplification in a square difference expression. The importance of square difference formula lies not only in its wide application, but also in its help to simplify calculation, deduce results and improve the efficiency of solving mathematical problems.
3. The application of square difference: solving geometric problems. The square difference formula can be used to solve expressions related to geometric problems, such as the hypotenuse length of a right triangle and the diagonal length of a rectangle. Using the square difference formula, the calculation steps can be simplified and accurate results can be obtained.
Application of Mathematical Knowledge in Life
1. Financial field: Probability theory and statistics are the most commonly used mathematical tools in finance, which can be used to evaluate risks, quantify asset values and predict market changes. These mathematical tools can help investors make more informed investment decisions, improve the performance of the portfolio and reduce the risk level.
2. Engineering field: Mathematics is the foundation of all engineering fields. In the field of architecture, the structure and load of buildings are calculated by mathematics; In the aerospace field, mathematics is used to control the movement and trajectory of missiles and aircraft. By using mathematical models and algorithms, aerospace engineers can simulate and predict the trajectory and performance of aircraft to ensure the safety and accuracy of aircraft.
3. Natural science: Mathematics used in natural science includes physics, chemistry, biology, earth science and so on. These sciences need mathematics to help us understand and predict natural phenomena, such as atmospheric circulation, changes in animal numbers, astronomical phenomena and so on.
4. Humanities and Social Sciences: Mathematics is also widely used in humanities and social sciences. For example, in economics, we can use mathematical tools to simulate market behavior, and make more informed economic decisions by analyzing data, evaluating risks and predicting market trends. For example, by using mathematical models and statistical analysis, economists can predict economic growth, unemployment rate, inflation rate and exchange rate.