用python写输入一个浮点数N,0 <= N < 20,输出:分段函数y的值,结果保留到小数点后三位。
时间: 2024-05-12 17:20:47 浏览: 124
分段函数如下:
当 0 <= x < N/2 时,y = x^2
当 N/2 <= x < N 时,y = (N-x)^2
代码如下:
```python
N = float(input("请输入一个浮点数N,0 <= N < 20:"))
if N < 0 or N >= 20:
print("N的值不符合要求")
else:
if 0 <= N < 0.5:
y = 0
elif 0.5 <= N < 1:
y = 0.25
else:
x1 = 0
x2 = N/2
x3 = N
if x2 == 0:
y1 = 0
else:
y1 = x2**2/(2*x2)
y2 = (N-x2)**2
if x3-x2 == 0:
y3 = 0
else:
y3 = (N-x2)**2/(2*(N-x2))
if 0 <= N < 0.5:
y = y1
elif 0.5 <= N < x2:
y = y1 + (N/2-0.5)*0.25
elif x2 <= N < x3-0.5:
y = y2 - (N-x2-0.5)*0.25
else:
y = y3
print("分段函数y的值为:{:.3f}".format(y))
```
注意:当 N < 0 或 N >= 20 时,需要输出一个提示信息。
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