抛物线y=x 2 -2x+1的顶点坐标是(  ) A.(1,0) B.(1,1) C.(-1,0) D.(-1,1

\u629b\u7269\u7ebfy=x^2-2x+2\u7684\u9876\u70b9\u5750\u6807\u662f \uff08 \uff09A.(1,1) B.(-1,1) C.(-1,-1) D.(1,-1)

y=x^2-2x+2
=x^2-2x+1+1
=(x-1)^2+1
\u6240\u4ee5\u9876\u70b9\uff081\uff0c1\uff09
\u9009A

\u9876\u70b9\u5750\u6807\u662f\uff08-1,0\uff09

\u5bf9\u4e8ey=aX^2+bX+c

\u9876\u70b9\u5750\u6807\u4e3a\uff1a\uff08-b/2a\uff0c(4ac-b^2)/4a\uff09

\u8c22\u8c22\uff0c\u4f60\u5f88\u597d\u5b66\uff0c\u5475\u5475

∵a=1,b=-2,c=1,
∴-
b
2a
=-
-2
2×1
=1,
4ac- b 2
4a
=
4×1×1-(-2 ) 2
4×1
=0,
故顶点坐标是(1,0).
故选A.


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