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题目

Find the equation of the plane parallel to the axis and passing through two points and .

解析

Solution: 　According to the question, assume that the desired plane is parallel to axis , so the general equation of the desired plane can be assumed to be

and the plane passes through two points and . Substituting into the above equation , we get

From the above solution

, we get

and .

Substituting them into the given equation, we get

Obviously is 0 , eliminating , and rearranging to get the required plane equation

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