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簡易邏輯4
1.
充分條件 必要條件
2.
例1:指出下列各組命題中,p是q的什麼 條件,q是p的什麼條件: (2)
p:三角形的三條邊相等, q:三角形的三個角相等; 解:
3.
在例1的第(2)小題中,“三角形的三條邊相等”既是 “三角形的三個角相等”的充分條件,也是“三角形的 三個角相等”的必要條件,我們就說“三角形的三條邊
相等”是“三角形的三個角相等”的充分必要條件,簡 稱充要條件。 例如, “x是6的倍數”是“x是2的倍數”的充分但不必要條件; “x是2的倍數”是“x是6的倍數”的必要但不充分條件; “x既是3的倍數也是2的倍數”是“x是6的倍數”的充要條件; “x是3的倍數”是“x是4的倍數”的不充分也不必要條件;
4.
例2:指出下列各組命題中,p是q的什麼條件(在“充 分但不必要條件”、“必要但不充分條件”、“充要 條件”、“不充分也不必要條件”中選出一種)?
解:
5.
總結: 堂課:P.38 練習1、2
(做在書上)
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