Files
python/数学课程/【二次函数】二次函数面积最值【弓形模型秒杀】 .md
HuangHai 1f397eca87 'commit'
2025-08-30 18:35:01 +08:00

10 lines
555 B
Markdown
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

![](http://dsideal.obs.cn-north-1.myhuaweicloud.com/HuangHai/BlogImages/2023/03/809abd2999c336d096c968160d0c2ba1.png)
- 弓形模型只能用在填空和选择题上,不能用在大题了,大题上还是老老实实用铅垂法
- 弓形三角形面积最大时,$X_p$为$(X_A+X_B)/2$,$y$的话将$x$带回二次函数计算即可
以本题为例,先用$x=0,y=0$将三个二次函数与抛物线交点算出坐标
$A(-1,0),B(4,0),C(0,2)$
然后用弓形法求$X_P=(0+4)/2=2$
代入二次函数,计算$y=-\frac{1}{2}*4+3+2=3$
即$P(2,3)$