- 1 -
14.3.1
鎻愬叕鍥犲紡娉曪紙
1
锛変綔涓氬畬鎴愯瘎浠?/p>
.
涓诲
姝﹀痉寮?/p>
瀹¢槄
宕旂伀閲戯紝浠荤濞?/p>
璁″垝涓婅鏃堕棿
2015.11.17
.
瀛︿範鐩爣锛?/p>
1
銆佷簡瑙e洜寮忓垎瑙g殑姒傚康銆佹槑纭畠涓庢暣寮忎箻娉曠殑鍏崇郴锛屾帉鎻℃彁鍙栧叕鍥犲紡鐨勬柟娉曪紱
2
銆佷細鐢ㄦ彁鍙栧叕鍥犲紡娉曞垎瑙e洜寮?/p>
鑷富棰勪範锛堣鍓嶇嫭绔嬪畬鎴愶紝璇惧唴浜掕瘎銆佷簰绾犻敊锛?/p>
涓
.
鍥犲紡鍒嗚В涓庢暣寮忎箻娉曠殑鍏崇郴
1
銆佽绠椾笅鍒楀悇寮忥細
锛?/p>
1
锛?/p>
x
锛?/p>
x
+1
锛?/p>
=
锛?/p>
2
锛夛紙
x
+1
锛夛紙
x
锛?/p>
1
锛?/p>
=
锛?/p>
3
锛?/p>
2
x
锛?/p>
x
2
+
x
锛?/p>
1
锛?/p>
=
2
銆佸姣斾笂闈㈣绠楋紝鎶婁笅鍒楀椤瑰紡鍐欐垚鏁村紡涔樼Н鐨勫舰寮忥細
x
2
+
x
=
x
2
锛?/p>
1=
x
x
x
2
2
2
2
3
飥?/p>
飥?/p>
=
褰掔撼锛?/p>
杩欑鎶婁竴涓椤瑰紡鍖栨垚
鐨勫舰寮忕殑鍙樺舰鍙仛鎶婅繖涓椤瑰紡
锛?/p>
涔熷彨鎶婅繖涓椤瑰紡
浜?/p>
.
鐞嗚В鍏洜寮忕殑鎰忎箟锛?/p>
锛?/p>
1
锛?/p>
ma
+
mb
+
mc
涓悇椤归兘鏈変竴涓叕鍏卞洜寮?/p>
锛?/p>
(2)
2
x
2
+4
x
涓悇椤归兘鏈変竴涓叕鍏辩殑鍥犲紡
锛?/p>
褰掔撼锛?/p>
涓涓椤瑰紡涓瘡涓椤归兘鏈夌殑鍥犲紡鍙仛杩欎釜澶氶」寮忕殑
涓?/p>
.
杩愮敤
鎻愬彇鍏洜寮忔硶鍒嗚В鍥犲紡锛?/p>
鈭?/p>
m
锛?/p>
a
+
b
+
c
锛?/p>
=
ma
+
mb
+
mc
鈭?/p>
ma
+
mb
+
mc
=
鈭?/p>
2
x
锛?/p>
x
+2
锛?/p>
=
鈭?/p>
2
x
2
+4
x
=
褰掔撼锛?/p>
鎶?/p>
ma
+
mb
+
mc
鍒嗚В鎴愪袱涓洜寮忕殑涔樼Н鐨勫舰寮忥紝
鈥?/p>
鍏朵腑涓涓洜寮忔槸鍚勯」鐨勫叕鍥犲紡
锛?/p>
鍙︿竴涓洜寮?/p>
鏄?/p>
ma
+
mb
+
mc
闄や互鍚勯」鐨勫叕鍥犲紡
m
鎵寰楃殑
锛?/p>
鈥?/p>
鍍忚繖绉嶅垎瑙e洜寮忕殑鏂规硶鍙仛
瀵绘壘鍏洜寮忕殑鏂规硶锛?/p>
鎻愬叕鍥犲紡娉曠殑鍏抽敭鏄浣曟纭湴瀵绘壘鍏洜寮忥紝鎵惧嚭纭畾鍏洜寮忕殑鏂规硶锛?/p>
鈶犲叕鍥犲紡鐨勭郴鏁板簲鍙栧悇椤圭郴鏁扮殑
锛?/p>
鈶″叕鍥犲紡鐨勫瓧姣嶅彇鍚勯」鐨?/p>
瀛楁瘝锛岃屼笖鍚勫瓧姣嶇殑鎸囨暟鍙栨鏁版渶
鐨勩?/p>
鍚堜綔鎺㈢┒
1
銆佷笅鍒楀彉褰㈡槸鍚︽槸鍥犲紡鍒嗚В锛屼负浠涔?/p>
?
锛?/p>
1
锛?/p>
3
x
2
y
锛?/p>
xy
+
y
=
y
(3
x
2
锛?/p>
x
)
锛?/p>
2
锛?/p>
x
2
锛?/p>
2
x
+3=(
x
锛?/p>
1)
2
+2
锛?/p>
3
锛?/p>
x
2
y
2
+2
xy
锛?/p>
1=(
xy
+1)(
xy
锛?/p>
1)
锛?/p>
4
锛?/p>
x
n
(
x
2
锛?/p>
x
+1)=
x
n
+2
锛?/p>
x
n
+1
+
x
n
2
銆佺敤鎻愬叕鍥犲紡娉曞皢涓嬪垪鍚勫紡鍥犲紡鍒嗚В
.
锛?/p>
1
锛?/p>
8
a
3
b
2
+12
ab
3
c
锛?/p>
2
锛?/p>
3
x
2
锛?/p>
6
xy
+
x
锛?/p>
3
锛夛紞
4
a
3
+16
a
2
锛?/p>
18
a
锛?/p>
4
锛?/p>
56
x
3
yc
+14
x
2
y
2
z
锛?/p>
21
xy
2
z
2