"学习一元二次方程及应用问题的解决"

The learning material 71一元二次方程1PPT课件PPT学习教案.pptx and 会计学171 一元二次方程 1PPT 课件 focus on understanding and mastering the concepts of quadratic equations and their general form. The lesson aims to enable students to formulate quadratic equations based on real-life problems and scenarios. In the first example, a carpet with a decorative border is given with a length of 8m and width of 5m. The central rectangle within the carpet has an area of 18m2. The task is to determine the width of the border. By setting the width of the border as x meters, the length and width of the central rectangle can be expressed in terms of x. This leads to the quadratic equation (8-2x)(5-2x) = 18. The second example involves a ladder leaning against a wall. The ladder has a length of 10m and is positioned such that the vertical distance from the top of the ladder to the ground is 8m. The problem requires finding the distance the bottom of the ladder will move when the top slides down by 1m. Setting the distance moved by the base of the ladder as x meters, the distance of the top of the ladder from the wall and the ground can be expressed in terms of x. This results in a quadratic equation 6x + 672 + (;".. These examples illustrate the practical application of quadratic equations in solving real-world problems such as calculating dimensions of carpets and determining movements of objects. By engaging in these problems, students are encouraged to understand and apply the concepts of quadratic equations to various scenarios. Overall, the learning material 71一元二次方程1PPT课件PPT学习教案.pptx and 会计学171 一元二次方程 1PPT 课件 provide a comprehensive overview of quadratic equations and their application in problem-solving. The content aims to equip students with the necessary skills to identify, formulate, and solve quadratic equations in different contexts, fostering a deeper understanding of mathematical concepts and their relevance in practical situations.