2016
骞翠笂娴峰競濂夎搐鍖洪珮鑰冩暟瀛︿竴妯¤瘯鍗凤紙鏂囩锛?/p>
涓�銆佸～绌洪锛堝叡
14
灏忛锛屾瘡灏忛
5
鍒嗭紝婊″垎
70
鍒嗭級
1
锛庤嫢
i
锛?/p>
bi+1
锛夋槸绾櫄鏁帮紝
i
鏄櫄鏁板崟浣嶏紝鍒欏疄鏁?/p>
b=
锛?/p>
2
锛庡嚱鏁?/p>
鐨勫畾涔夊煙鏄?/p>
锛?/p>
3
锛?/p>
鍦ㄢ柍ABC
涓紝
|
|=2
锛?/p>
|
|=3
锛?/p>
鈥?
锛?/p>
0
锛?/p>
涓斺柍ABC
鐨勯潰绉负
锛?/p>
鍒欌垹BAC=
锛?/p>
4
锛庡弻鏇茬嚎
4x
2
锕?/p>
y
2
=1
鐨勪竴鏉℃笎杩戠嚎涓庣洿绾?/p>
tx+y+1=0
鍨傜洿锛屽垯
t=
锛?/p>
5
锛庡凡鐭ユ姏鐗╃嚎
y
2
=4x
涓婁竴鐐?/p>
M
锛?/p>
x
0
锛?/p>
2
锛?/p>
锛屽垯鐐?/p>
M
鍒版姏鐗╃嚎鐒︾偣鐨勮窛绂讳负
锛?/p>
6
锛庢棤绌风瓑姣旀暟鍒楅椤逛负
1
锛屽叕姣斾负
q
锛?/p>
q
锛?/p>
0
锛夌殑绛夎竟鏁板垪鍓?/p>
n
椤瑰拰涓?/p>
S
n
锛屽垯
S
n
=2
锛屽垯
q=
锛?/p>
7
锛庡湪涓�涓按骞虫斁缃殑搴曢潰鍗婂緞涓?/p>
cm
鐨勫渾鏌卞舰閲忔澂涓鏈夐�傞噺鐨勬按锛岀幇鏀惧叆涓�涓崐寰勪负
Rcm
鐨勫疄蹇冮搧鐞冿紝鐞冨畬鍏ㄦ蹈娌′簬姘翠腑涓旀棤姘存孩鍑猴紝鑻ユ按闈㈤珮搴︽伆濂戒笂鍗?/p>
Rcm
锛屽垯
R=
cm
锛?/p>
8
锛?/p>
浠?/p>
4
鍚嶇敺鐢熷拰
3
鍚嶅コ鐢熶腑閫夊嚭
4
浜哄弬鍔犳煇涓骇璋堜細锛?/p>
鑻ヨ繖
4
浜轰腑蹇呴』鏃㈡湁鐢风敓鍙堟湁濂崇敓锛?/p>
鍒欎笉鍚岀殑閫夋硶绉嶆暟鍏辨湁
锛?/p>
锛堢敤鏁板瓧浣滅瓟锛?/p>
9
锛庡湪骞抽潰鐩磋鍧愭爣绯?/p>
xOy
涓紝灏嗙偣
A
锛?/p>
2
锛?/p>
1
锛夌粫鍘熺偣
O
閫嗘椂閽堟棆杞?
鍒扮偣
B
锛岃嫢鐩寸嚎
OB
鐨勫�炬枩瑙掍负
伪
锛屽垯
cos
伪
鐨勫�间负
锛?/p>
10
锛庡凡鐭ュ嚱鏁?/p>
f
锛?/p>
x
锛?/p>
=2
x
锕鈥?
锕?/p>
x
鐨勫弽鍑芥暟鏄?/p>
f
锕?/p>
1
锛?/p>
x
锛?/p>
锛?/p>
f
锕?/p>
1
锛?/p>
x
锛夊湪瀹氫箟鍩熶笂鏄鍑芥暟锛屽垯姝?/p>
瀹炴暟
a=
锛?/p>
11
锛庡凡鐭?/p>
x鈮?锛寉鈮?锛岄泦鍚?/p>
A={
锛?/p>
x
锛?/p>
y
锛墊x+y鈮?}锛?/p>
B={
锛?/p>
x
锛?/p>
y
锛?/p>
|x
锕?/p>
y+t=0}
锛?/p>
濡傛灉
A鈭〣鈮?/p>
鈭?/p>
锛?/p>
鍒?/p>
t
鐨勫彇鍊艰寖鍥存槸
锛?/p>
12
锛庡湪锛?/p>
x+
+2
锛?/p>
4
灞曞紑寮忎腑鐨勫父鏁伴」鏄?/p>
锛堢敤鏁板�间綔绛旓級
13
锛庡鍥撅紝涓�涓┖闂村嚑浣曚綋鐨勪富瑙嗗浘銆佸乏瑙嗗浘銆佷刊瑙嗗浘涓哄叏绛夌殑绛夎叞鐩磋涓夎褰紝濡傛灉鐩磋
涓夎褰㈢殑鐩磋杈规垚涓?/p>
1
锛岄偅涔堣繖涓嚑浣曚綋鐨勮〃闈㈢Н鏄?/p>
锛?/p>
14
锛庤嫢鏁板垪
{a
n
}
婊¤冻
a
n
+a
锛屼笖
a
1
=x
锛?/p>
{a
n
}
鍗曡皟閫掑锛屽垯
x
鐨勫彇
鍊艰寖鍥存槸
锛?/p>