瀛︿範蹇呭
娆㈣繋涓嬭浇
绗竴閮ㄥ垎
鍑芥暟鍥捐薄涓偣鐨勫瓨鍦ㄦ�ч棶棰?/p>
1.1
鍥犲姩鐐逛骇鐢熺殑鐩镐技涓夎褰㈤棶棰?/p>
1
濡傚浘
1
锛屽凡鐭ユ姏鐗╃嚎
2
1
1
(
1)
4
4
4
b
y
x
b
x
飥?
飥?/p>
飥?/p>
飥?/p>
锛?/p>
b
鏄疄鏁颁笖
b
锛?/p>
2
锛変笌
x
杞寸殑姝ｅ崐杞村垎鍒氦浜庣偣
A
銆?/p>
B
锛堢偣
A
浣嶄簬鐐?/p>
B
鏄乏渚э級
锛屼笌
y
杞?/p>
鐨勬鍗婅酱浜や簬鐐?/p>
C
锛?/p>
锛?/p>
1
锛夌偣
B
鐨勫潗鏍囦负
______
锛岀偣
C
鐨勫潗鏍囦负
__________
锛堢敤鍚?/p>
b
鐨勪唬鏁板紡琛ㄧず锛?/p>
锛?/p>
锛?/p>
2
锛?/p>
璇蜂綘鎺㈢储鍦ㄧ涓�璞￠檺鍐呮槸鍚﹀瓨鍦ㄧ偣
P
锛?/p>
浣垮緱鍥涜竟褰?/p>
PCOB
鐨勯潰绉瓑浜?/p>
2
b
锛?/p>
涓斺柍
PBC
鏄互鐐?/p>
P
涓虹洿瑙掗《鐐圭殑绛夎叞鐩磋涓夎褰紵濡傛灉瀛?/p>
鍦紝姹傚嚭鐐?/p>
P
鐨勫潗鏍囷紱濡傛灉涓嶅瓨鍦紝璇疯鏄庣悊鐢憋紱
锛?/p>
3
锛夎浣犺繘涓�姝ユ帰绱㈠湪绗竴璞￠檺鍐呮槸鍚﹀瓨鍦ㄧ偣
Q
锛屼娇寰椻柍
QCO
銆佲柍
QOA
鍜屸柍
QAB
涓殑浠绘剰涓や釜涓夎褰㈠潎鐩镐技锛堝叏绛夊彲鐪嬩綔鐩镐技鐨勭壒娈?/p>
鎯呭喌锛夛紵濡傛灉瀛樺湪锛屾眰鍑虹偣
Q
鐨勫潗鏍囷紱濡傛灉涓嶅瓨鍦紝璇疯鏄庣悊鐢憋紟
鍥?/p>
1
渚?/p>
2
濡傚浘
1
锛屽凡鐭ユ姏鐗╃嚎鐨勬柟绋?/p>
C
1
锛?/p>
1
(
2)(
)
y
x
x
m
m
飥?/p>
飥?/p>
飥?/p>
飥?/p>
(
m
锛?/p>
0)
涓?/p>
x
杞翠氦浜庣偣
B
銆?/p>
C
锛屼笌
y
杞翠氦浜庣偣
E
锛屼笖鐐?/p>
B
鍦ㄧ偣
C
鐨勫乏
渚э紟
锛?/p>
1
锛夎嫢鎶涚墿绾?/p>
C
1
杩囩偣
M
(2, 2)
锛屾眰瀹炴暟
m
鐨勫�硷紱
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2
锛夊湪锛?/p>
1
锛夌殑鏉′欢涓嬶紝姹傗柍
BCE
鐨勯潰绉紱
锛?/p>
3
锛夊湪锛?/p>
1
锛夌殑鏉′欢涓嬶紝鍦ㄦ姏鐗╃嚎鐨勫绉拌酱涓婃壘涓�鐐?/p>
H
锛屼娇寰?/p>
BH
锛?/p>
EH
鏈�灏忥紝姹傚嚭鐐?/p>
H
鐨勫潗鏍囷紱
锛?/p>
4
锛夊湪绗洓璞￠檺鍐咃紝鎶涚墿绾?/p>
C
1
涓婃槸鍚﹀瓨鍦ㄧ偣
F
锛屼娇寰椾互鐐?/p>
B
銆?/p>
C
銆?/p>
F
涓洪《鐐圭殑涓夎褰笌鈻?/p>
BCE
鐩镐技锛熻嫢瀛樺湪锛屾眰
m
鐨勫�硷紱鑻ヤ笉瀛樺湪锛岃
璇存槑鐞嗙敱锛?/p>
鍥?/p>
1
渚?/p>
3
鐩寸嚎
1
1
3
y
x
飥?/p>
飥?/p>
飥?/p>
鍒嗗埆浜?/p>
x
杞淬�?/p>
y
杞翠簬
A
銆?/p>
B
涓ょ偣锛?/p>
鈻?/p>
AOB
缁曠偣
O
鎸夐�嗘椂閽堟柟鍚戞棆杞?/p>
90掳
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鈻?/p>
COD
锛屾姏鐗╃嚎
y
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ax
2
锛?/p>
bx
锛?/p>
c
缁忚繃
A
銆?/p>
C
銆?/p>
D
涓夌偣锛?/p>
(1)
鍐欏嚭鐐?/p>
A
銆?/p>
B
銆?/p>
C
銆?/p>
D
鐨勫潗鏍囷紱
(2)
姹傜粡杩?/p>
A
銆?/p>
C
銆?/p>
D
涓夌偣鐨勬姏鐗╃嚎琛ㄨ揪寮忥紝骞舵眰鎶涚墿绾块《鐐?/p>
G
鐨勫潗鏍囷紱
(3)
鍦ㄧ洿绾?/p>
BG
涓婃槸鍚﹀瓨鍦ㄧ偣
Q
锛屼娇寰椾互鐐?/p>
A
銆?/p>
B
銆?/p>
Q
涓洪《鐐圭殑涓夎褰笌
鈻?/p>
COD
鐩镐技锛熻嫢瀛樺湪锛岃姹傚嚭鐐?/p>
Q
鐨勫潗鏍囷紱鑻ヤ笉瀛樺湪锛岃璇存槑鐞?/p>
鐢憋紟
鍥?/p>
1
渚?/p>
4
Rt
鈻?/p>
ABC
鍦ㄧ洿瑙掑潗鏍囩郴鍐呯殑浣嶇疆濡傚浘
1
鎵�绀猴紝鍙嶆瘮渚嬪嚱鏁?/p>
(
0)
k
y
k
x
飥?/p>
飩?/p>
鍦ㄧ涓�璞￠檺鍐呯殑鍥捐薄涓?/p>
BC
杈逛氦浜庣偣
D
锛?/p>
4
锛?/p>
m
锛?/p>
锛屼笌
AB
杈逛氦浜庣偣
E
锛?/p>
2
锛?/p>
n
锛?/p>
锛屸柍
BDE
鐨勯潰绉负
2
锛?/p>
锛?/p>
1
锛夋眰
m
涓?/p>
n
鐨勬暟閲忓叧绯伙紱
锛?/p>
2
锛夊綋
tan
鈭?/p>
A
锛?
1
2
鏃讹紝姹傚弽姣斾緥鍑芥暟鐨勮В鏋愬紡鍜岀洿绾?/p>
AB
鐨勮〃杈惧紡锛?/p>
锛?/p>
3
锛夎鐩寸嚎
AB
涓?/p>
y
杞翠氦浜庣偣
F
锛岀偣
P
鍦ㄥ皠绾?/p>
FD
涓婏紝鍦紙
2
锛夌殑鏉′欢涓嬶紝濡傛灉鈻?/p>
AEO
涓庘柍
EFP
鐩镐技锛屾眰鐐?/p>
P
鐨勫潗鏍囷紟
鍥?/p>
1