作业帮设p为曲线C：y=x²+2x+3上在点,且曲线C在点P处切线倾斜角的的取值范围为[0.π/4]则点P横坐标的取值范围为?
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/24 06:06:12
![设p为曲线C：y=x²+2x+3上在点,且曲线C在点P处切线倾斜角的的取值范围为[0.π/4]则点P横坐标的取值范围为?](/uploads/image/z/8931399-15-9.jpg?t=%E8%AE%BEp%E4%B8%BA%E6%9B%B2%E7%BA%BFC%EF%BC%9Ay%3Dx%26%23178%3B%2B2x%2B3%E4%B8%8A%E5%9C%A8%E7%82%B9%2C%E4%B8%94%E6%9B%B2%E7%BA%BFC%E5%9C%A8%E7%82%B9P%E5%A4%84%E5%88%87%E7%BA%BF%E5%80%BE%E6%96%9C%E8%A7%92%E7%9A%84%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E4%B8%BA%5B0.%CF%80%2F4%5D%E5%88%99%E7%82%B9P%E6%A8%AA%E5%9D%90%E6%A0%87%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E4%B8%BA%3F)
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设p为曲线C：y=x²+2x+3上在点,且曲线C在点P处切线倾斜角的的取值范围为[0.π/4]则点P横坐标的取值范围为?
设p为曲线C：y=x²+2x+3上在点,且曲线C在点P处切线倾斜角的的取值范围为[0.π/4]
则点P横坐标的取值范围为?
设p为曲线C：y=x²+2x+3上在点,且曲线C在点P处切线倾斜角的的取值范围为[0.π/4]则点P横坐标的取值范围为?
y'=2x+2
曲线C在点P处切线倾斜角θ的的取值范围为[0.π/4] tanθ∈[0,1]
倾斜角斜率k=tanθ=y'
0
-1
y'=2x+2=tana
a∈[0.π/4]，0≤tana≤1
即
0≤2x+2≤1
-1≤x≤-1/2