1
14.3.1
鎻愬叕鍥犲紡娉曞瀛︽
銆愬涔犵洰鏍囥�戯細
1
銆佺悊瑙ｅ洜寮忓垎瑙ｇ殑姒傚康锛?/p>
2
銆佹纭繍鐢ㄦ彁鍙栧叕鍥犲紡娉曞垎瑙ｅ洜寮忋�?/p>
3
銆佸煿鍏诲鐢熻瀵熴�佸垎鏋愩�佸綊绾崇殑鑳藉姏锛屽苟鍚戝鐢熸笚閫忓姣斻�佺被姣旂殑鏁板鎬濇兂鏂规硶銆?/p>
瀛︿範閲嶇偣锛氬洜寮忓垎瑙ｇ殑姒傚康鍙婄敤鎻愬叕鍥犲紡娉曟彁鍏洜寮?/p>
瀛︿範闅剧偣锛氭纭壘鍑哄椤瑰紡鐨勫叕鍥犲紡鍙婂叕鍥犲紡鎻愬彇鍚庯紝鍙︿竴涓洜寮忕殑纭畾
瀛︿範杩囩▼锛?/p>
1
銆?/p>
鍒涜鎯呭锛屽紩鍑烘柊鐭?/p>
鐢卞缓浣撹偛鍦虹殑涓ょ鏂规锛屽緱鍑洪潰绉浉绛夛紝寮曞嚭绛夊紡
ma+mb+mc=m(a+b+c)
2
銆?/p>
閫氳繃寮曞瀛︾敓瑙傚療锛岃璁猴紝浜ゆ祦鍥犲紡鍒嗚В鐨勬蹇点�佸叕鍥犲紡鐨勬潵鐢卞強鍏洜寮忕殑纭畾銆佹彁鍏洜寮忕殑鎰忎箟銆?/p>
锛?/p>
1
锛?/p>
鍥犲紡鍒嗚В鐨勫畾涔夌殑鐞嗚В銆?/p>
锛?/p>
2
锛?/p>
鍥犲紡鍒嗚В涓庢暣寮忎箻娉曠殑鍏崇郴銆傦紙浜岃�呮槸浜掗�嗙殑鎭掔瓑鍙樺舰
锛?/p>
锛?/p>
3
锛?/p>
濡備綍鎵惧叕鍥犲紡銆?/p>
绯绘暟锛氬叕鍥犲紡鐨勭郴鏁版槸澶氶」寮忓悇椤圭郴鏁扮殑鏈�澶у叕绾︽暟銆?/p>
瀛楁瘝
瀛楁瘝鍙栧椤瑰紡鍚勯」涓兘鍚湁鐨勭浉鍚岀殑瀛楁瘝銆?/p>
鎸囨暟锛氱浉鍚屽瓧姣嶇殑鎸囨暟鍙栧悇椤逛腑鏈�灏忕殑涓�涓紝鍗冲瓧姣嶆渶浣庢骞傘�?/p>
锛?/p>
4
锛?/p>
寮曞嚭鎻愬彇鍏洜寮忕殑姒傚康銆?/p>
3
銆?/p>
渚嬮璁茶В
寮曚緥锛氬洜寮忓垎瑙?/p>
5a
3
+25a
2
渚嬶紙
1
锛夋妸
8a
3
b
2
+12ab
3
c
鍒嗚В鍥犲紡
渚嬶紙
2
锛夋妸
鍥犲紡鍒嗚В
鍙樺紡缁冧範
鎵惧嚭
4
銆佸笀鐢熶簰鍔紝杩愮敤鏂扮煡
鏁板鐥呴櫌
鎶婁笅鍒楀椤瑰紡鍒嗚В鍥犲紡锛?/p>
锛?/p>
1
锛?/p>
12x
2
y+18xy
2
锛?/p>
锛?/p>
2
锛?/p>
-x
2
+xy-xz
锛?/p>
锛?/p>
3
锛?/p>
2x
3
+6x
2
+2x
鐜版湁鐢层�佷箼銆佷笝涓変綅鍚屽鍚勫仛涓�棰橈紝浠栦滑鐨勮В娉曞涓嬶細
鐢插悓瀛︼細
涔欏悓瀛︼細
瑙?/p>
:12x
2
y+18xy
2
瑙?/p>
:-x
2
+xy-xz
=3xy(4x+6y) =-x(x+y-z)
涓欏悓瀛︼細
瑙?/p>
:2x
3
+6x
2
+2x =2x(x
2
+3x)
浣犺涓轰粬浠殑瑙ｆ硶姝ｇ‘鍚楋紵璇曡鏄庣悊鐢便�?/p>
瑙ｆ硶鎸囧锛氾紙
1
锛夊垏璁帮細鍏洜寮忚鎻愬畬
锛?/p>
2
锛?/p>
褰撳椤瑰紡绗竴椤圭郴鏁版槸璐熸暟锛?/p>
閫氬父鍏堟彁鍑衡�?/p>
-
鈥濆彿锛?/p>
浣挎嫭鍙峰唴绗竴椤圭郴鏁板彉涓烘鏁帮紝
娉ㄦ剰鎷彿鍐呭悇椤归兘瑕佸彉鍙枫�?/p>
锛?/p>
3
锛夆�滃叕鍥犲紡鍏ㄦ彁璧帮紝鐣欎笅
1
鎶婂瀹堚�?/p>
灏忔祴璇?/p>
1
銆佷笅鍒楃瓑寮忎腑锛屼粠宸﹀紡鍒板彸寮忕殑鍙樺舰锛屾湁鍑犱釜鏄洜寮忓垎瑙ｏ紵
锛?/p>
1
锛?/p>
(x+5)(x-1) = x
2
+4x-5
锛?/p>
2
锛?/p>
x
2
-y
2
-1 = (x+y)(x-y)-1
锛?/p>
3
锛?/p>
15a
2
b
3
= 15a
2
路b
3
锛?/p>
4
锛?/p>
x
2
-x = x(x-1)
A. 1
涓?/p>
B.2
涓?/p>
C.3
涓?/p>
D.4
涓?/p>
姝ｇ‘绛旀锛氾紙
锛?/p>
鍏洜寮?
2
3
)
(
12
)
(
18
b
a
b
a
b
飥?/p>
飥?/p>
飥?/p>
)
(
3
)
(
2
c
b
c
b
a
飥?/p>
飥?/p>
飥?/p>