濡傛湁浣犳湁甯姪锛岃璐拱涓嬭浇锛岃阿璋紒
1
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搂
1.4
瀵兼暟鍦ㄥ疄闄呯敓娲讳腑鐨勫簲鐢?/p>
鐩殑瑕佹眰锛?/p>
锛?/p>
1
锛夊珐鍥哄嚱鏁扮殑鏋佸�间笌鏈�鍊?/p>
锛?/p>
2
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渚?/p>
1
锛庡湪杈归暱涓?/p>
60 cm
鐨勬鏂瑰舰閾佺墖鐨勫洓瑙掑垏鍘荤浉绛夌殑姝ｆ柟褰紝鍐嶆妸瀹冪殑杈规部铏氱嚎鎶樿捣
(
濡?/p>
鍥?/p>
)
锛?/p>
鍋氭垚涓�涓棤鐩栫殑鏂瑰簳绠卞瓙锛?/p>
绠卞簳鐨勮竟闀挎槸澶氬皯鏃讹紝
绠卞簳鐨勫绉渶澶э紵鏈�澶у绉槸澶氬皯锛?/p>
渚?/p>
2
锛庡渾鏌卞舰閲戝睘楗枡缃愮殑瀹圭Н涓�瀹氭椂锛屽畠鐨勯珮涓庡簳涓庡崐寰勫簲鎬庢牱閫夊彇锛屾墠鑳戒娇鎵�鐢ㄧ殑鏉愭枡
鏈�鐪侊紵
渚?/p>
3
锛庡湪濡傚浘鎵�绀虹殑鐢佃矾涓紝宸茬煡鐢垫簮鐨勫唴闃讳负
r
锛岀數鍔ㄥ娍涓?/p>
飦?/p>
銆傚鐢甸樆
R
涓哄澶ф椂锛屾墠鑳?
浣跨數鍔熺巼鏈�澶э紵鏈�澶х數鍔熺巼鏄灏戯紵
渚?/p>
4
锛庡己搴﹀垎鍒负
,
a
b
鐨勪袱涓厜婧?/p>
,
A
B
锛屽畠浠棿鐨勮窛绂讳负
d
锛岃瘯闂細鍦ㄨ繛鎺ヨ繖涓や釜鍏夋簮鐨勭嚎
娈?/p>
AB
涓婏紝浣曞鐓у害鏈�灏忥紵璇曞氨
8,
1,
3
a
b
d
飥?/p>
飥?/p>
飥?/p>
鏃跺洖绛斾笂杩伴棶棰橈紙鐓у害涓庡厜鐨勫己搴?/p>
鎴愭姣旓紝涓庡厜婧愮殑璺濈鐨勫钩鏂规垚鍙嶆瘮锛?/p>
渚?/p>
5
锛庡湪缁忔祹瀛︿腑锛岀敓浜?/p>
x
鍗曚綅浜у搧鐨勬垚鏈О涓烘垚鏈嚱鏁帮紝璁颁负
(
)
C
x
锛涘嚭鍞?/p>
x
鍗曚綅浜у搧鐨?
鏀剁泭绉颁负鏀剁泭鍑芥暟锛岃涓?/p>
(
)
R
x
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(
)
(
)
R
x
C
x
飥?/p>
绉颁负鍒╂鼎鍑芥暟锛岃涓?/p>
(
)
P
x
銆?/p>
锛?/p>
1
锛?/p>
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6
3
2
(
)
1
0
.
0
0
3
5
1
0
0
0
Cx
x
x
x
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飥?/p>
飥?/p>
锛?/p>
鐢熶骇澶氬皯鍗曚綅浜у搧鏃讹紝
杈归檯鎴愭湰
'(
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C
x
鏈�浣庯紵
锛?/p>
2
锛夎
(
)
50
10000
C
x
x
飥?/p>
飥?/p>
锛屼骇鍝佺殑鍗曚环
100
0.1
p
x
飥?/p>
飥?/p>
锛屾�庢牱鐨勫畾浠峰彲浣垮埄娑︽渶澶э紵
浣滀笟
1
锛庡嚱鏁?/p>
3
|
6
|
y
x
x
飥?/p>
飥?/p>
锛屽綋
6,
6
x
飪?/p>
飪?/p>
飪?/p>
飥?/p>
飪?/p>
飪?
鏃讹紝
y
鐨勬渶澶у�间负
锛?/p>
锛?/p>
A.
4
2
B.3
2
C.2
6
D.
6
2
锛庡凡鐭ュ嚱鏁?/p>
3
2
(
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f
x
x
bx
c
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/
(
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f
x
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3
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/
0
(
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3
f
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飥?/p>
锛屽垯
0
x
=
锛?/p>
锛?/p>
.
3
A
飥?/p>
B.3
C.
1
飥?/p>
D.
飩?/p>
1
3
锛庡凡鐭ュ嚱鏁?/p>
(
)
(
)
,
n
f
x
x
m
n
N
飥?/p>
飥?/p>
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飪?/p>
,
涓斿浠绘剰
x
R
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锛岄兘鏈?/p>
/
/
(3
)
(
3)
f
x
f
x
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m
=
锛?/p>
(
)
f
x
鐨勫崟璋冩�ф槸
銆?/p>
4
锛庤嫢鍑芥暟
3
2
(
)
1
f
x
x
x
mx
飥?/p>
飥?/p>
飥?/p>
飥?/p>
鏄?/p>
R
涓婄殑鍗曡皟閫掑鍑芥暟锛屽垯
m
鐨勫彇鍊艰寖鍥存槸
5
锛庤嫢鍑芥暟
3
2
3
2
y
x
x
m
飥?/p>
飥?
飥?/p>
鍦?/p>
[
锛?/p>
2
锛?/p>
1]
涓婄殑鏈�澶у�间负
9
2
锛屽垯
m
飥?/p>
6
锛庡皢
8
鍒嗕负涓ゆ鏁颁箣鍜岋紝浣垮叾绔嬫柟鍜屾渶灏忥紝鍒欒繖涓や釜鏁板垎鍒负
7
锛庡凡鐭ュ嚱鏁?/p>
3
2
(
)
f
x
x
px
qx
飥?/p>
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鐨勫浘璞′笌
x
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1
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0
锛夊锛屽垯
(
)
f
x
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8
锛庢煇鍏徃鐢熶骇鏌愮浜у搧锛屽浐瀹氭垚鏈负
20000
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100
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鐭ユ�绘敹鐩?/p>
R
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x
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2
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鐨勪骇鍝佹槸
9
锛庤嫢鍑芥暟
4
(
)
32
f
x
x
x
c
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飥?/p>
鏈夋渶灏忓�?/p>
38
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锛屽垯
c=
10
锛庡凡鐭ュ嚱鏁?/p>
3
2
(
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2
3
12
1
f
x
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x
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鍦?/p>
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m
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17
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m
=
11
锛庡凡鐭ュ嚱鏁?/p>
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y
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鐨勫浘璞″鍙冲浘鎵�绀?/p>
(
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f
x
鏄嚱鏁?/p>
f(x)
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)
锛屼笅闈㈠洓涓?/p>
鍥捐薄涓?/p>
y=f(x)
鐨勫浘璞″ぇ
鑷存槸
(
)
12
锛庡凡鐭ョ敱闀挎柟浣撶殑涓�涓《鐐瑰紩鍑虹殑涓夋潯妫遍暱涔嬪拰涓?/p>
1
锛岃〃闈㈢Н涓?/p>
16
27
锛屾眰闀挎柟浣撶殑浣撶Н鐨?
鏈�灏忓�煎拰鏈�澶у�笺�?/p>
13
锛庡凡鐭ュ渾鏌辩殑琛ㄩ潰绉负瀹氬�?/p>
S
锛屾眰褰撳渾鏌辩殑瀹圭Н
V
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h
鐨勫�笺�?/p>
P
B
3
鈥?/p>
x
x
A
x
1
O
y
1