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小船从河边点0处出发驶向对岸(两岸为平行直线)。设船速为a,船行方向始终与河岸垂直,设河宽为h,河中任意点处的水流速度与该点到两岸距离的乘积成正比(比例系数为k).求小船的航行路线(注:取0为原点,河岸朝顺水方向为x轴, y轴指向对岸)。

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2022-04-02 18:49
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设所求曲线上坐标为(x,y) 那么

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小船从河边点0处出发驶向对岸(两岸为平行直线)。设船速为a,船行方向始终与河岸垂直,设河宽为h,河中任意点处的水流速度与该点到两岸距离的乘积成正比(比例系数为k).求小船的航行路线(注:取0为原点,河岸朝顺水方向为x轴, y轴指向对岸)。
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