Question

能判斷四邊形是菱形的條件是

1. A.
   對(duì)角線相等且互相垂直
2. B.
   有一條對(duì)角線平分一組對(duì)角
3. C.
   對(duì)角線相等且對(duì)角線
4. D.
   兩組對(duì)角分別相等，且一條對(duì)角線平分有一組對(duì)角

Answer 1

D
分析：對(duì)角線垂直平分的四邊形是菱形；對(duì)角相等，且對(duì)角線平分對(duì)角的是菱形；菱形的對(duì)角線不一定相等．
解答：A、對(duì)角線垂直平分的四邊形是菱形，故本選項(xiàng)錯(cuò)誤．
B、對(duì)角相等，且對(duì)角線平分對(duì)角的是菱形，故本選項(xiàng)錯(cuò)誤．
C、；菱形的對(duì)角線不一定相等，故本選項(xiàng)錯(cuò)誤．
D、兩組對(duì)角分別相等，且一條對(duì)角線平分有一組對(duì)角，故本選項(xiàng)正確．
故選D．
點(diǎn)評(píng)：本題考查菱形的判定定理，菱形的對(duì)角線垂直且平分，對(duì)角相等，且對(duì)角線平分每一組對(duì)角的是菱形．