鍑芥暟涓庡鏁颁腑浠绘剰鎬у拰瀛樺湪鎬ф帰绌跺叡
8
椤?/p>
-1
鍑芥暟涓庡鏁颁腑浠绘剰鎬у拰瀛樺湪鎬ч棶棰樻帰绌?/p>
鍛介浜猴細闂渼
瀹￠浜猴細鍐榾灞?/p>
涓�銆佺浉鍏崇粨璁猴細
缁撹
1
锛?/p>
min
[
,
],
(
)
[
(
)]
x
a
b
f
x
m
f
x
m
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
缁撹
2
锛?/p>
max
[
,
],
(
)
[
(
)]
x
a
b
f
x
m
f
x
m
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
缁撹
3
锛?/p>
max
[
,
],
(
)
[
(
)]
x
a
b
f
x
m
f
x
m
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
缁撹
4
锛?/p>
min
[
,
],
(
)
[
(
)]
x
a
b
f
x
m
f
x
m
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
缁撹
5
锛?/p>
1
2
1
2
min
max
[
,
],
[
,
],
(
)
(
)
[
(
)]
[
(
)]
x
a
b
x
c
d
f
x
g
x
f
x
g
x
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
銆愬鍥句竴銆?/p>
缁撹
6
锛?/p>
1
2
1
2
max
min
[
,
],
[
,
],
(
)
(
)
[
(
)]
[
(
)]
x
a
b
x
c
d
f
x
g
x
f
x
g
x
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
銆愬鍥句簩銆?/p>
缁撹
7
锛?/p>
1
2
1
2
min
min
[
,
],
[
,
],
(
)
(
)
[
(
)]
[
(
)]
x
a
b
x
c
d
f
x
g
x
f
x
g
x
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
銆愬鍥句笁銆?/p>
缁撹
8
锛?/p>
1
2
1
2
max
max
[
,
],
[
,
],
(
)
(
)
[
(
)]
[
(
)]
x
a
b
x
c
d
f
x
g
x
f
x
g
x
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
锛?/p>
銆愬鍥惧洓銆?/p>
缁撹
9
锛?/p>
1
2
1
2
[
,
],
[
,
],
(
)
(
)
(
)
x
a
b
x
c
d
f
x
g
x
f
x
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
飪?/p>
鐨勫�煎煙鍜?/p>
(
)
g
x
鐨勫�煎煙浜ら泦涓嶄负绌猴紱
缁撹
10
锛?/p>
1
2
1
2
[
,
],
[
,
],
(
)
(
)
(
)
x
a
b
x
c
d
f
x
g
x
f
x
飥?/p>
飪?/p>
飥?/p>
飪?/p>
飥?/p>
飪?/p>
鐨勫�煎煙鏄?/p>
(
)
g
x
鐨勫�煎煙鐨勫瓙闆?/p>
銆?/p>
渚嬮
1
銆?/p>
锛氬凡鐭ヤ袱涓嚱鏁?/p>
2
3
2
(
)
8
16
,
(
)
2
5
4
,
[
3,3],
f
x
x
x
k
g
x
x
x
x
x
k
R
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飪?/p>
飥?/p>
飪?/p>
;
(1)
鑻ュ
[
3,3]
x
飥?/p>
飪?/p>
飥?/p>
,
閮芥湁
(
)
(
)
f
x
g
x
飩?/p>
鎴愮珛锛屾眰瀹炴暟
k
鐨勫彇鍊艰寖鍥达紱
(2)
鑻?/p>
[
3,3]
x
飥?/p>
飪?/p>
飥?/p>
,
浣垮緱
(
)
(
)
f
x
g
x
飩?/p>
鎴愮珛锛屾眰瀹炴暟
k
鐨勫彇鍊艰寖鍥达紱
(3)
鑻ュ
1
2
,
[
3,3]
x
x
飥?/p>
飪?/p>
飥?/p>
,
閮芥湁
1
2
(
)
(
)
f
x
g
x
飩?/p>
鎴愮珛锛屾眰瀹炴暟
k
鐨勫彇鍊艰寖鍥达紱
瑙?/p>
锛?/p>
锛?/p>
1
锛?/p>
璁?/p>
3
2
(
)
(
)
(
)
2
3
12
h
x
g
x
f
x
x
x
x
k
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
,
锛?/p>
1
锛?/p>
涓殑闂鍙浆鍖栦负锛?/p>
[
3,3]
x
飪?/p>
飥?/p>
鏃讹紝
(
)
0
h
x
飩?/p>
鎭掓垚绔嬶紝鍗?/p>
min
[
(
)]
0
h
x
飩?/p>
銆?/p>
'
2
(
)
6
6
12
6(
2)(
1)
h
x
x
x
x
x
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
锛?/p>
褰?/p>
x
鍙樺寲鏃讹紝
'
(
),
(
)
h
x
h
x
鐨勫彉鍖栨儏鍐靛垪琛ㄥ涓嬶細
x
-3
(-3,-1)
-1
(-1,2)
2
(2,3)
3
h
飩?/p>
(x)
+
0
锛?/p>
0
+
h(x)
k-45
澧炲嚱鏁?/p>
鏋佸ぇ鍊?/p>
鍑忓嚱鏁?/p>
鏋佸皬鍊?/p>
澧炲嚱鏁?/p>
k-9
鍥犱负
(
1)
7,
(2)
20
h
k
h
k
飥?/p>
飥?/p>
飥?/p>
飥?/p>
飥?/p>
,
鎵�浠ワ紝鐢变笂琛ㄥ彲鐭?/p>
min
[
(
)]
45
h
x
k
飥?/p>
飥?/p>
锛屾晠
k-45
鈮?/p>
0
锛屽緱
k
鈮?/p>
45,
鍗?/p>
k
鈭?/p>
[45,+
鈭?/p>
).
灏忕粨锛?/p>
鈶犲浜庨棴鍖洪棿
I
锛?/p>
涓嶇瓑寮?/p>
f(x)<k
瀵?/p>
x
鈭?/p>
I
鏃舵亽鎴愮珛
飪?/p>
[f(x)]
max
<k, x
鈭?/p>
I;
涓嶇瓑寮?/p>
f(x)>k
瀵?/p>
x
鈭?/p>
I
鏃舵亽鎴愮珛
飪?/p>
[f(x)]
min
>k, x
鈭?/p>
I.
鈶℃棰樺父瑙佺殑閿欒瑙ｆ硶锛?/p>
鐢?/p>
[f(x)]
max
鈮?/p>
[g(x)]
min
瑙ｅ嚭
k
鐨勫彇鍊艰寖鍥?/p>
杩欑瑙ｆ硶鐨勯敊璇湪浜庢潯
浠垛�?/p>
[f(x)]
max
鈮?/p>
[g(x)]
min
鈥濆彧鏄師棰樼殑鍏呭垎涓嶅繀瑕佹潯浠讹紝涓嶆槸鍏呰鏉′欢锛屽嵆涓嶇瓑浠?/p>
.
锛?/p>
2
锛夋牴鎹鎰忓彲鐭ワ紝
锛?/p>
2
锛変腑鐨勯棶棰樼瓑浠蜂簬
h(x)=
g(x)
锛?/p>
f(x)
鈮?/p>
0
鍦?/p>
x
鈭?/p>
[-3,3]
鏃舵湁瑙?/p>
,
鏁?/p>
[h(x)]
max
鈮?/p>
0.
鐢憋紙
1
锛夊彲鐭?/p>
[h(x)]
max
= k+7
锛屽洜姝?/p>
k+7
鈮?/p>
0
锛屽嵆
k
鈭?/p>
[-7,+
鈭?/p>
).
(3)
鏍规嵁棰樻剰鍙煡锛?/p>
锛?/p>
3
锛変腑鐨勯棶棰樼瓑浠蜂簬
[f(x)]
max
鈮?/p>
[g(x)]
min
锛?/p>
x
鈭?/p>
[-3,3].