鎴愪汉楂樿�冩暟瀛﹀涔犺祫鏂?/p>
闆嗗悎鍜岀畝鏄撻�昏緫
鑰冪偣锛氫氦闆嗐�佸苟闆嗐�佽ˉ闆?/p>
姒傚康锛?/p>
1
銆佺敱鎵�鏈夋棦灞炰簬闆嗗悎
A
鍙堝睘浜庨泦鍚?/p>
B
鐨勫厓绱犳墍缁勬垚鐨勯泦鍚堬紝鍙仛闆嗗悎
A
鍜岄泦鍚?/p>
B
鐨勪氦闆嗭紝璁颁綔
A
鈭?/p>
B
锛岃浣溾�?/p>
A
浜?/p>
B
鈥?/p>
锛堟眰鍏叡鍏冪礌锛?/p>
A
鈭?/p>
B={x|x
鈭?/p>
A,
涓?/p>
x
鈭?/p>
B}
2
銆佺敱鎵�鏈夊睘浜庨泦鍚?/p>
A
鎴栧睘浜庨泦鍚?/p>
B
鐨勫厓绱犳墍缁勬垚鐨勯泦鍚堬紝鍙仛闆嗗悎
A
鍜岄泦鍚?/p>
B
鐨勫苟闆嗭紝璁颁綔
A
鈭?/p>
B
锛岃浣溾�?/p>
A
骞?/p>
B
鈥?/p>
锛堟眰鍏ㄩ儴鍏冪礌锛?/p>
A
鈭?/p>
B={x|x
鈭?/p>
A,
鎴?/p>
x
鈭?/p>
B}
3
銆?/p>
濡傛灉宸茬煡鍏ㄩ泦涓?/p>
U
锛?/p>
涓旈泦鍚?/p>
A
鍖呭惈浜?/p>
U
锛?/p>
鍒欑敱
U
涓墍鏈変笉灞炰簬
A
鐨勫厓绱犵粍鎴愮殑闆嗗悎锛?/p>
鍙仛闆嗗悎
A
鐨勮ˉ闆嗭紝
璁颁綔
A
C
u
,
璇讳綔
鈥?/p>
A
琛モ�?
A
C
u
={ x|x
鈭?/p>
U
锛屼笖
x
飪?/p>
A }
瑙ｆ瀽锛氶泦鍚堢殑浜ら泦鎴栧苟闆嗕富瑕佷互渚嬩妇娉曟垨涓嶇瓑寮忕殑褰㈠紡鍑虹幇
鑰冪偣锛氱畝鏄撻�昏緫
姒傚康锛?/p>
鍦ㄤ竴涓暟瀛﹀懡棰樹腑锛屽線寰�鐢辨潯浠?/p>
A
鍜岀粨璁?/p>
B
涓ら儴鍒嗘瀯鎴愶紝鍐欐垚鈥滃鏋?/p>
A
鎴愮珛锛岄偅涔?/p>
B
鎴愮珛鈥?/p>
銆?/p>
鍏呭垎鏉′欢锛氬鏋?/p>
A
鎴愮珛锛岄偅涔?/p>
B
鎴愮珛锛岃浣溾�?/p>
A
鈫?/p>
B
鈥?/p>
鈥?/p>
A
鎺ㄥ嚭
B
锛?/p>
B
涓嶈兘鎺ㄥ嚭
A
鈥?/p>
銆?/p>
蹇呰鏉′欢锛氬鏋?/p>
B
鎴愮珛锛岄偅涔?/p>
A
鎴愮珛锛岃浣溾�?/p>
A
鈫?/p>
B
鈥?/p>
鈥?/p>
B
鎺ㄥ嚭
A
锛?/p>
A
涓嶈兘鎺ㄥ嚭
B
鈥?/p>
銆?/p>
鍏呰鏉′欢锛氬鏋?/p>
A
鈫?/p>
B,
鍙堟湁
A
鈫?/p>
B
锛岃浣溾�?/p>
A
鈫?/p>
B
鈥?/p>
鈥?/p>
A
鎺ㄥ嚭
B
锛?/p>
B
鎺ㄥ嚭
A
鈥?/p>
銆?/p>
瑙ｆ瀽锛氬垎鏋?/p>
A
鍜?/p>
B
鐨勫叧绯伙紝鏄?/p>
A
鎺ㄥ嚭
B
杩樻槸
B
鎺ㄥ嚭
A
锛岀劧鍚庤繘琛屽垽鏂?/p>
涓嶇瓑寮忓拰涓嶇瓑寮忕粍
鑰冪偣锛氫笉绛夊紡鐨勬�ц川
濡傛灉
a>b
锛岄偅涔?/p>
b<a
锛涘弽涔嬶紝濡傛灉
b>a
锛岄偅涔?/p>
a<b
鎴愮珛
濡傛灉
a>b
锛屼笖
b>c
锛岄偅涔?/p>
a>c
濡傛灉
a>b
锛屽瓨鍦ㄤ竴涓?/p>
c
锛?/p>
c
鍙互涓烘鏁般�佽礋鏁版垨涓�涓暣寮忥級
锛岄偅涔?/p>
a+c>b+c
锛?/p>
a-c>b-c
濡傛灉
a>b
锛?/p>
c>0
锛岄偅涔?/p>
ac>bc
锛堜袱杈瑰悓涔樸�侀櫎涓�涓鏁帮紝涓嶇瓑鍙蜂笉鍙橈級
濡傛灉
a>b
锛?/p>
c<0
锛岄偅涔?/p>
ac<bc
锛堜袱杈瑰悓涔樸�侀櫎涓�涓礋鏁帮紝涓嶇瓑鍙峰彉鍙凤級
濡傛灉
a>b>0
锛岄偅涔?/p>
a2>b2
濡傛灉
a>b>0
锛岄偅涔?
b
a
飥?/p>
锛涘弽涔嬶紝濡傛灉
b
a
飥?/p>
锛岄偅涔?/p>
a>b
瑙ｆ瀽锛氫笉绛夊紡涓よ竟鍚屽姞鎴栧悓涔樹富瑕佺敤浜庤В涓�鍏冧竴娆′笉绛夊紡鎴栦竴鍏冧簩娆′笉绛夊紡绉婚」鍜屽悎骞跺悓绫婚」鏂归潰
鑰冪偣锛氫竴鍏冧竴娆′笉绛夊紡
瀹氫箟锛氬彧鏈変竴涓湭鐭ユ暟锛屽苟涓旀湭鐭ユ暟鐨勬渶濂芥鏁版槸涓�娆＄殑涓嶇瓑寮忥紝鍙竴鍏冧竴娆′笉绛夊紡銆?/p>
瑙ｆ硶锛氱Щ椤广�佸悎骞跺悓绫婚」锛堟妸鍚湁鏈煡鏁扮殑绉诲埌宸﹁竟锛屾妸甯告暟椤圭Щ鍒板彸杈癸紝绉讳簡涔嬪悗绗﹀彿瑕佸彂鐢熸敼鍙橈級
銆?/p>
濡傦細
6x+8>9x-4
锛?/p>
姹?/p>
x
锛?/p>
鎶?/p>
x
鐨勯」绉诲埌宸﹁竟锛?/p>
鎶婂父鏁伴」绉诲埌鍙宠竟锛?/p>
鍙樻垚
6x-9x>-4-8
锛?/p>
鍚堝苟鍚岀被椤逛箣鍚庡緱
-3x>-12,
涓よ竟鍚岄櫎
-3
寰?/p>
x<4
锛堣寰楁敼鍙樼鍙凤級
銆?/p>
鑰冪偣锛氫竴鍏冧竴娆′笉绛夊紡缁?/p>
瀹氫箟锛氱敱鍑犱釜涓�鍏冧竴娆′笉绛夊紡鎵�缁勬垚鐨勪笉绛夊紡缁勶紝鍙仛涓�鍏冧竴娆′笉绛夊紡缁?/p>
瑙ｆ硶锛氭眰鍑烘瘡涓竴鍏冧竴娆′笉绛夊紡鐨勫�硷紝鏈�鍚庢眰杩欏嚑涓竴鍏冧竴娆′笉绛夊紡鐨勪氦闆嗭紙鍏叡閮ㄥ垎锛?/p>
銆?/p>
鑰冪偣锛氬惈鏈夌粷瀵瑰�肩殑涓嶇瓑寮?/p>
瀹氫箟锛氬惈鏈夌粷瀵瑰�肩鍙风殑涓嶇瓑寮忥紝濡傦細
|x|<a
锛?/p>
|x|>a
鍨嬩笉绛夊紡鍙婂叾瑙ｆ硶銆?/p>
绠�鍗曠粷瀵瑰�间笉绛夊紡鐨勮В娉曪細
|x|<a
鐨勮В闆嗘槸
{x|-a<x<a}
锛屽彇涓棿锛屽湪鏁拌酱涓婅〃绀烘墍鏈変笌鍘熺偣鐨勮窛绂诲皬浜?/p>
a
鐨勭偣鐨勯泦鍚堬紱
|x|>a
鐨勮В
闆嗘槸
{x|x>a
鎴?/p>
x<-a}
锛屽彇涓よ竟锛屽湪鏁拌酱涓婅〃绀烘墍鏈変笌鍘熺偣鐨勮窛绂诲ぇ浜?/p>
a
鐨勭偣鐨勯泦鍚堛�?/p>
澶嶆潅缁濆鍊间笉绛夊紡鐨勮В娉曪細
|ax+b|<c
锛岀浉褰撲簬瑙ｄ笉绛夊紡
-c<ax+b<c,
涓嶇瓑寮忎笁杈瑰悓鏃跺噺鍘?/p>
b
锛屽啀鍚屾椂闄や互
a
锛堟敞鎰忥紝褰?/p>
a<0
鐨勬椂鍊欙紝
涓嶇瓑鍙疯鏀瑰彉鏂瑰悜锛?/p>
锛?/p>
|ax+|>c
鐩稿綋浜庤В涓嶇瓑寮?/p>
ax+b>c
鎴?/p>
ax+b<-c
锛岃В娉曞悓涓�鍏冧竴娆′笉绛夊紡涓�鏍枫�?/p>
瑙ｆ瀽锛氫富瑕佹悶娓呮鍙栦腑闂磋繕鏄彇涓よ竟锛屽彇涓棿鏄繛璧锋潵鐨勶紝鍙栦袱杈规湁鈥滄垨鈥?/p>
鑰冪偣锛氫竴鍏冧簩娆′笉绛夊紡