✔ 最佳答案
為什麼在全等三角形的證明中,SSA不是證明條件之一?
Consider the following triangles:
圖片參考:
http://in.geocities.com/myisland8132/70070507001301.bmp
Here:
side AB is congruent to side DE (S)
side AC is congruent to side DF (S)
angle C is congruent to angle F (A)
But the triangles are not congruent, as you can see.
What happens is this: if you draw a vertical line through point A in
the first triangle, you can sort of "flip" side AB around this line to
get the second triangle. If we were to lay one triangle on top of the
other and draw the vertical line, this is how it'd look.
圖片參考:
http://in.geocities.com/myisland8132/70070507001302.bmp
You can see that side DE is just side AB flipped around the line. So
we haven't changed the length of the side, and the other side AC (or
DF) is unchanged, as is angle C (or F). So these two triangles that
have the same SSA information, but they're not congruent.