Question

恳请哪位大神帮助翻译一下下面这段文字，需要纯手工制作的！一切翻译机翻译的我能识别！谢谢

无差异曲线的定义
如上图。无差异曲线是一条向右下方倾斜的线，斜率是负的（公式K=）。表明为实现同样的满足程度，增加一种商品的消费，必须减少另一种商品的消费。无差异曲线图中位置越高或距离原点越远的无差异曲线所代表的消费者的满足程度越高。在同一个坐标平面上的任何两条无差异曲线之间，可以有无数条无差异曲线。同一条曲线代表相同的效用，不同的曲线代表不同的效用。而且较高无差异曲线上商品组合的效用高于较低的无差异曲线上商品组合的效用。任何两条无差异曲线不能相交。这是因为两条无差异曲线如果相交，就会产生矛盾。只要消费者的偏好是可传递的，无差异曲线就不可能相交。无差异曲线通常是凸向原点的，而且无差异曲线的斜率值是递减的。这也是由于边际替代率递减规律所决定。

Answer 1

无差异曲线的定义
如上图。无差异曲线是一条向右下方倾斜的线，斜率是负的（公式K=）。表明为实现同样的满足程度，增加一种商品的消费，必须减少另一种商品的消费。无差异曲线图中位置越高或距离原点越远的无差异曲线所代表的消费者的满足程度越高。在同一个坐标平面上的任何两条无差异曲线之间，可以有无数条无差异曲线。同一条曲线代表相同的效用，不同的曲线代表不同的效用。而且较高无差异曲线上商品组合的效用高于较低的无差异曲线上商品组合的效用。任何两条无差异曲线不能相交。这是因为两条无差异曲线如果相交，就会产生矛盾。只要消费者的偏好是可传递的，无差异曲线就不可能相交。无差异曲线通常是凸向原点的，而且无差异曲线的斜率值是递减的。这也是由于边际替代率递减规律所决定。
The definition of undifferentiated curve line
As above figure shown, an undifferentiated curve is a line inclining to the bottom right. The gradient is negative (formula K=), which shows that in order to achieve the same degree of satisfaction, increasing one of the product's consuming expenses, another product's consuming expenses must be reduced. The undifferentiated curve line's position in the figure, the higher the further the distance from it original point then the undifferentiated curve line represents a much higher consumer satisfactions. In the same coordinate plane, in between any two undifferentiated curve lines, can have any number of undifferentiated curve lines. It represents the utility in the same curve line. Different curve line represent different utilty. Also the utlity of the commodity combination on those higher undifferentiated curve lines is higher than those of the lower ones. Any of the two undifferentiated curve lines must have no intersections. That is because if the two undifferentiated curve lines intersected, which can produce contradiction. As long as the consumer preferences can be passed on then these two undifferentiated curve lines cannot intersect. The undifferentiated curve lines is usually a convex to the origin and also the gradient of the undifferentiated curve line is decreasing. This is due to the law of diminishing marginal rate of substitution that is determined