1
闆嗗悎
1
銆侀泦鍚堢殑鍚箟
鎶婄爺绌跺璞＄粺绉颁负鍏冪礌锛屾妸涓�浜涘厓绱犵粍鎴愮殑鎬讳綋鍙仛闆嗗悎
(
绠�绉颁负闆?/p>
)
锛?/p>
2
銆侀泦鍚堜腑鍏冪礌鐨勪笁涓壒寰?/p>
(1)
纭畾鎬э細缁欏畾闆嗗悎
A
锛屽浜庢煇涓璞?/p>
x
锛?/p>
鈥?/p>
x
鈭?/p>
A
鈥?/p>
鎴?/p>
鈥?/p>
x
鈭?/p>
A
鈥?/p>
杩欎袱鑰呭繀灞呭叾涓�涓斾粎灞呭叾涓�锛?/p>
(2)
浜掑紓鎬э細闆嗗悎涓殑鍏冪礌浜掍笉鐩稿悓锛?/p>
(3)
鏃犲簭鎬э細鍦ㄤ竴涓粰瀹氱殑闆嗗悎涓紝鍏冪礌涔嬮棿鏃犲厛鍚庢搴忎箣鍒嗭紟
3
銆侀泦鍚堢殑琛ㄧず
(1)
鎶婇泦鍚堜腑鐨勫厓绱犱竴涓�鍒椾妇鍑烘潵锛屽啓鍦ㄥぇ鎷彿鍐呰〃绀洪泦鍚堢殑鏂规硶绉颁负鍒椾妇娉曪紟
(2)
鎶婇泦鍚堜腑鐨勫厓绱犵殑鍏叡灞炴�ф弿杩板嚭鏉ワ紝
鍐欏湪澶ф嫭鍙峰唴琛ㄧず闆嗗悎鐨勬柟娉曠О涓烘弿杩版硶锛?/p>
甯?
鐢ㄥ舰寮忔槸锛?/p>
{
x
|
p
}
锛岀珫绾垮墠闈㈢殑
x
鍙仛闆嗗悎鐨勪唬琛ㄥ厓绱狅紝
p
琛ㄧず鍏冪礌
x
鎵�鍏锋湁鐨勫叕鍏卞睘鎬э紟
(3)
鐢ㄥ钩闈笂涓�娈靛皝闂殑鏇茬嚎鐨勫唴閮ㄨ〃绀洪泦鍚堬紝杩欑鍥惧舰绉颁负
Venn
鍥撅紟鐢?/p>
Venn
鍥俱�佹暟
杞翠笂鐨勫尯闂村強鐩磋鍧愭爣骞抽潰涓殑鍥惧舰绛夎〃绀洪泦鍚堢殑鏂规硶绉颁负鍥剧ず娉曪紟
4
銆佸厓绱犱笌闆嗗悎鐨勫叧绯?/p>
濡傛灉
x
鏄泦鍚?/p>
A
涓殑鍏冪礌锛屽垯璇?/p>
x
灞炰簬闆嗗悎
A
锛岃浣?/p>
x
鈭?/p>
A
锛涜嫢
x
涓嶆槸闆嗗悎
A
涓殑鍏冪礌锛?/p>
灏辫
x
涓嶅睘浜庨泦鍚?/p>
A
锛岃浣?/p>
x
鈭?/p>
A
锛?/p>
5
銆佸父鐢ㄦ暟闆嗙殑绗﹀彿琛ㄧず
瀹炴暟闆?/p>
姝ｅ疄鏁伴泦
鏈夌悊鏁伴泦
鏁存暟闆?/p>
鑷劧鏁伴泦
姝ｆ暣鏁伴泦
R
R
锛?
Q
Z
N
N
锛?/p>
鎴?/p>
N
*
6
銆佹湁闄愰泦涓庢棤闄愰泦
鍚湁鏈夐檺涓厓绱犵殑闆嗗悎鍙湁闄愰泦锛屽惈鏈夋棤闄愪釜鍏冪礌鐨勯泦鍚堝彨鏃犻檺闆嗭紟
渚?/p>
1
锛?/p>
鑻ラ泦鍚?/p>
A
锛?/p>
{
x
鈭?/p>
R
|
ax
2
锛?/p>
3
x
锛?/p>
2
锛?/p>
0}
涓彧鏈変竴涓厓绱狅紝鍒?/p>
a
锛?/p>
(
)
A.
9
2
B
锛?/p>
9
8
C
锛?/p>
0
D
锛?/p>
0
鎴?
9
8
渚?/p>
2
锛?/p>
璇村嚭涓嬪垪涓変釜闆嗗悎鐨勫惈涔夛細鈶?/p>
{
x
|
y
锛?/p>
x
2
}
锛涒憽
{
y
|
y
锛?/p>
x
2
}
锛涒憿
{(
x
锛?/p>
y
)|
y
锛?/p>
x
2
}
锛?/p>