一次函数图像
Linear Function Graphs
认识一次函数会产生一条直线图像,理解形如 y = mx + c 的方程与其图像表示之间的关系,并能结合具体情境解释斜率和 y 轴截距的含义。
Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context
学习证据 / Evidence
- 能解释改变 y = mx + c 中的 m 会如何改变直线的陡峭程度和方向
- 能从方程和图像中识别直线的 y 轴截距
- 能判断一个给定方程产生的是直线还是曲线
- Explain that changing m in y = mx + c alters the steepness and direction of the line
- Identify the y-intercept of a line from its equation and from its graph
- Determine whether a given equation will produce a straight line or a curve
评估问题 / Assessment
如果 {{name}} 看到方程 y = 2x + 3,他们能否解释这个图像会是什么样子——包括它有多陡,以及它在哪里与 y 轴相交?
If {{name}} sees the equation y = 2x + 3, can they explain what the graph will look like — including how steep it is and where it crosses the y-axis?