A Projection or intersect between a PlanarFace(or face) and Familyinstance?

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Good morning veryone~
I try to get a Revit api class object or some data ,which can express the intersections between a PlanarFace(or face) and familyinstance.
Any ideas?
I get the idea about two solids ,by a Boolean operation.But may not useful?(I found the Face class is not base the solid class)
https://thebuildingcoder.typepad.com/blog/about-the-author.html#5.48
Notes:
The total ideas about what I am doing,is, to split a planelface(now , 4 points,like rectangle) to a matrix,the value is bool,true or false.
true means the point could in the face .false means point could not in the face, such as a opening,or a obstacle like a familyinstance.
Did anyone tell any ideas about this?
The way I want to solve it is:
1,found the face 4 points and openings points. check the splited points is in the face or not and the openings.By the revit api document.What I need to do is try a math way to check,because I could get the face 4 points and the opening points.
2,not success. I want to found the intersection from a familyinstance,wihch could be best if the data get is like a opening value.Then I can check by a almost way. But the question of the title comes,I can not get the intersection.