1
涓撻
3.3
鍒╃敤瀵兼暟鐮旂┒鍑芥暟鐨勬瀬鍊笺�佹渶鍊?/p>
銆愯�冪偣鑱氱劍绐佺牬銆?/p>
鑰冪偣涓�
鍒╃敤瀵兼暟瑙ｅ喅鍑芥暟鐨勬瀬鍊奸棶棰?/p>
瑙掑害
1
鏍规嵁鍑芥暟鍥捐薄鍒ゆ柇鍑芥暟鏋佸�?/p>
銆愪緥
1
锛?/p>
1
銆?/p>
宸茬煡鍑芥暟
f
(
x
)
鍦?/p>
R
涓婂彲瀵硷紝鍏跺鍑芥暟涓?/p>
f
鈥?
x
)
锛屼笖鍑芥暟
y
锛?/p>
(1
锛?/p>
x
)
f
鈥?
x
)
鐨勫浘璞″鍥炬墍绀猴紝
鍒欎笅鍒楃粨璁轰腑涓�瀹氭垚绔嬬殑鏄?/p>
(
)
A.
鍑芥暟
f
(
x
)
鏈夋瀬澶у�?/p>
f
(2)
鍜屾瀬灏忓�?/p>
f
(1)
B.
鍑芥暟
f
(
x
)
鏈夋瀬澶у�?/p>
f
(
锛?/p>
2)
鍜屾瀬灏忓�?/p>
f
(1)
C.
鍑芥暟
f
(
x
)
鏈夋瀬澶у�?/p>
f
(2)
鍜屾瀬灏忓�?/p>
f
(
锛?/p>
2)
D.
鍑芥暟
f
(
x
)
鏈夋瀬澶у�?/p>
f
(
锛?/p>
2)
鍜屾瀬灏忓�?/p>
f
(2)
銆愮瓟妗堛�?/p>
D
銆愯В鏋愩�?/p>
鐢遍鍥惧彲鐭ワ紝褰?/p>
x
<
锛?/p>
2
鏃讹紝
f
鈥?
x
)>0
锛涘綋锛?/p>
2<
x
<1
鏃讹紝
f
鈥?
x
)<0
锛涘綋
1<
x
<2
鏃讹紝
f
鈥?
x
)<0
锛涘綋
x
>2
鏃讹紝
f
鈥?
x
)>0.
鐢辨鍙互寰楀埌鍑芥暟
f
(
x
)
鍦?/p>
x
锛濓紞
2
澶勫彇寰楁瀬澶у�硷紝鍦?/p>
x
锛?/p>
2
澶勫彇寰楁瀬灏忓�?/p>
.
銆愯寰嬫柟娉曘�?/p>
鐢卞浘璞″垽鏂嚱鏁?/p>
y
锛?/p>
f
(
x
)
鐨勬瀬鍊硷紝瑕佹姄浣忎袱鐐癸細
(1)
鐢?/p>
y
锛?/p>
f
鈥?
x
)
鐨勫浘璞′笌
x
杞寸殑浜ょ偣锛屽彲
寰楀嚱鏁?/p>
y
锛?/p>
f
(
x
)
鐨勫彲鑳芥瀬鍊肩偣锛?/p>
(2)
鐢卞鍑芥暟
y
锛?/p>
f
鈥?
x
)
鐨勫浘璞″彲浠ョ湅鍑?/p>
y
锛?/p>
f
鈥?
x
)
鐨勫�肩殑姝ｈ礋锛?/p>
浠庤�屽彲寰楀嚱
鏁?/p>
y
锛?/p>
f
(
x
)
鐨勫崟璋冩�?/p>
.
涓よ�呯粨鍚堝彲寰楁瀬鍊肩偣
.
瑙掑害
2
宸茬煡鍑芥暟姹傛瀬鍊?/p>
銆愪緥
1
锛?/p>
2
銆?/p>
(2019路澶╂触鍜屽钩鍖烘ā鎷?/p>
)
宸茬煡鍑芥暟
f
(
x
)
锛?/p>
ln
x
锛?/p>
ax
(
a
鈭?/p>
R
).
(1)
褰?/p>
a
锛?/p>
1
2
鏃讹紝姹?/p>
f
(
x
)
鐨勬瀬鍊硷紱
(2)
璁ㄨ鍑芥暟
f
(
x
)
鍦ㄥ畾涔夊煙鍐呮瀬鍊肩偣鐨勪釜鏁?/p>
.
銆愮瓟妗堛�戣瑙ｆ瀽
銆愯В鏋愩�?/p>
(1)
褰?/p>
a
锛?/p>
1
2
鏃讹紝
f
(
x
)
锛?/p>
ln
x
锛?/p>
1
2
x
锛屽嚱鏁扮殑瀹氫箟鍩熶负
(0
锛岋紜鈭?涓?/p>
f
鈥?
x
)
锛?/p>
1
x
锛?/p>
1
2
锛?/p>
2
锛?/p>
x
2
x
锛?/p>
浠?/p>
f
鈥?
x
)
锛?/p>
0
锛屽緱
x
锛?/p>
2
锛?/p>
浜庢槸褰?/p>
x
鍙樺寲鏃讹紝
f
鈥?
x
)
锛?/p>
f
(
x
)
鐨勫彉鍖栨儏鍐靛涓嬭〃
.
x
(0
锛?/p>
2)
2
(2
锛岋紜鈭?