今天是：2025年1月7日 星期二
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Exercises 6-1
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In the space rectangular coordinate system, indicate which hexagram the following points are in?
　 A . 　　　　　　　 B .

　C.　　　　　　D.
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What are the characteristics of the coordinates of points on the coordinate plane and the coordinate axis? And indicate the location of the following points:

A.,B.,C.,D..
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Find the coordinates of symmetric points about

　　(1) Each coordinate plane;　 (2) Each coordinate axis;　 

　　(3) Coordinate origin
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Draw straight line parallel to axis and a plane parallel to  plane through point 

What are the characteristics of the coordinates of the points on them?
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Find the distance from point to each coordinate axis.
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A moving point is equidistant from two fixed points and . Find the trajectory equation of the moving point.
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Find the equation of the sphere with point as the center and passing through the origin of the coordinate system.

Indicate what figures the following equations represent in plane analytic geometry and space analytic geometry respectively?

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　　。
Indicate which surface each of the following equations represents:
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　　。
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System of equations 

What do they mean in plane analytic geometry and space analytic geometry?
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Find the intersection line of surface and plane .

Indicate what curve each of the following systems of equations represents:

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Point out the special positions of the following planes:
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　　。

Find the plane equation according to the following conditions:

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　　Parallel to surface and passing through point ;
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Find the equation of the plane passing through the axis and point .
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Find the equation of the plane parallel to the axis and passing through two points and .

Determine the value of so that the plane meets one of the following conditions:

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Determine the value of so that the plane passes through point .
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Determine the value of so that the -axis of the plane 

 

is .