楂樼瓑浠ｆ暟涔犻鍙婄瓟妗?/p>
(1)
绡囦竴锛氶珮绛変唬鏁颁範棰樿В绛?/p>
(
绗竴绔?/p>
)
楂樼瓑浠ｆ暟涔犻瑙ｇ瓟
绗竴绔?/p>
澶氶」寮?/p>
琛?/p>
鍏?/p>
棰?/p>
1
锛?/p>
褰?/p>
a,b,c
鍙?/p>
浣?/p>
鍊?/p>
鏃?/p>
锛?/p>
澶?/p>
椤?/p>
寮?/p>
f(x)?x?5
涓?/p>
g(x)?a(x?2)2?b(x?1) ?c(x2?x?2)
鐩哥瓑锛?/p>
6136
鎻愮ず锛氭瘮杈冪郴鏁板緱
a??,b??,c?. 555
琛ュ厖棰?/p>
2
锛?/p>
璁?/p>
f(x),g(x),h(x)??[x]
锛?/p>
f2(x)?xg2(x)?x3h2(x)
锛?/p>
璇佹槑锛?/p>
f(x)?g(x)?h(x)?0
锛?/p>
璇佹槑
鍋囪
f(x)?g(x)?h(x)?0
涓嶆垚绔嬶紟鑻?/p>
f(x)?0
锛屽垯
?(f2(x))
涓哄伓
鏁帮紝
鍙?/p>
g2(x),h2(x)
绛変簬
0
鎴栨鏁颁负鍋舵暟锛?/p>
鐢变簬
g2(x),h2(x)??[x]
锛?/p>
棣栭」
绯绘暟锛堝鏋滄湁鐨勮瘽锛変负姝ｆ暟锛屼粠鑰?/p>
xg2(x)?x3h2(x)
绛変簬
0
鎴栨鏁颁负濂囨暟锛?/p>
鐭涚浘锛庤嫢
g(x)?0
鎴?/p>
h(x)?0
鍒?/p>
?(xg2(x)?x3h2(x))
涓哄鏁帮紝鑰?/p>
f2(x)?0
鎴?/p>
?(f2(x))
涓哄伓鏁帮紝鐭涚浘锛庣患涓婃墍璇侊紝
f(x)?g(x)?h(x)?0
锛?/p>
1
锛庣敤
g (x)
闄?/p>
f (x)
锛屾眰鍟?/p>
q (x)
涓庝綑寮?/p>
r (x)
锛?/p>
1
锛?/p>
f (x) = x3- 3x2 -x-1
锛?/p>
g (x) =3x2 -2x+1
锛?/p>
2
锛?/p>
f (x) = x4 -2x+5
锛?/p>
g (x) = x2 -x+2
锛?/p>
1
锛夎В娉曚竴
寰呭畾绯绘暟娉曪紟
鐢变簬
f (x)
鏄椤圭郴鏁颁负
1
鐨?/p>
3
娆″椤瑰紡锛岃�?/p>
g (x)
鏄椤圭郴鏁颁负
3
鐨?/p>
2
娆″椤瑰紡锛?/p>
1
鎵�浠ュ晢
q(x)
蹇呮槸棣栭」绯绘暟涓虹殑
1
娆″椤瑰紡锛?/p>
鑰屼綑寮忕殑娆℃暟灏忎簬
2
锛?/p>
浜?/p>
鏄彲璁?/p>
3
1 q(x) =x+a , r(x) =bx+c 3
鏍规嵁
f (x) = q(x) g(x) + r(x)
锛屽嵆
1 x3-3x2 -x-1 = (x+a)( 3x2 -2x+1)+bx+c 3
鍙宠竟灞曞紑锛屽悎骞跺悓绫婚」锛屽啀姣旇緝涓よ竟鍚屾骞傜殑绯绘暟锛屽緱