绗?/p>
- 1 -
椤?/p>
鍏?/p>
6
椤?/p>
2.1
鏇茬嚎涓庢柟绋?/p>
2.1.1
鏇茬嚎涓庢柟绋?/p>
2.1.2
姹傛洸绾跨殑杞ㄨ抗鏂圭▼
涓�銆佹暀瀛︾洰鏍?/p>
(
涓�
)
鐭ヨ瘑鏁欏鐐?/p>
浣垮鐢熸帉鎻″父鐢ㄥ姩鐐圭殑杞ㄨ抗浠ュ強姹傚姩鐐硅建杩规柟绋嬬殑甯哥敤鎶�宸т笌鏂规硶锛?/p>
(
浜?/p>
)
鑳藉姏璁粌鐐?/p>
閫氳繃瀵规眰杞ㄨ抗鏂圭▼鐨勫父鐢ㄦ妧宸т笌鏂规硶鐨勫綊绾冲拰浠嬬粛锛屽煿鍏诲鐢熺患鍚堣繍鐢ㄥ悇鏂归潰鐭ヨ瘑鐨勮兘鍔涳紟
(
涓?/p>
)
瀛︾娓楅�忕偣
閫氳繃瀵规眰杞ㄨ抗鏂圭▼鐨勫父鐢ㄦ妧宸т笌鏂规硶鐨勪粙缁嶏紝
浣垮鐢熸帉鎻″父鐢ㄥ姩鐐圭殑杞ㄨ抗锛?/p>
涓哄涔犵墿鐞嗙瓑瀛?/p>
绉戞墦涓嬫墡瀹炵殑鍩虹锛?/p>
浜屻�佹暀鏉愬垎鏋?/p>
1
锛庨噸鐐癸細姹傚姩鐐圭殑杞ㄨ抗鏂圭▼鐨勫父鐢ㄦ妧宸т笌鏂规硶锛?/p>
(
瑙ｅ喅鍔炴硶锛氬姣忕鏂规硶鐢ㄤ緥棰樺姞浠ヨ鏄庯紝浣垮鐢熸帉鎻¤繖绉嶆柟娉曪紟
)2
锛庨毦鐐癸細浣滅浉鍏崇偣娉曟眰
鍔ㄧ偣鐨勮建杩规柟娉曪紟
(
瑙ｅ喅鍔炴硶锛氬厛浣垮鐢熶簡瑙ｇ浉鍏崇偣娉曠殑鎬濊矾锛屽啀鐢ㄤ緥棰樿繘琛岃瑙ｏ紟
)
涓夈�佹椿鍔ㄨ璁?/p>
鎻愰棶銆佽瑙ｆ柟娉曘�佹紨鏉裤�佸皬娴嬮獙锛?/p>
鍥涖�佹暀瀛﹁繃绋?/p>
(
涓�
)
澶嶄範寮曞叆
澶у鐭ラ亾锛屽钩闈㈣В鏋愬嚑浣曠爺绌剁殑涓昏闂鏄細
(1)
鏍规嵁宸茬煡鏉′欢锛屾眰鍑鸿〃绀哄钩闈㈡洸绾跨殑鏂圭▼锛?/p>
(2)
閫氳繃鏂圭▼锛岀爺绌跺钩闈㈡洸绾跨殑鎬ц川锛?/p>
鎴戜滑宸茬粡瀵瑰父瑙佹洸绾垮渾銆?/p>
妞渾銆?/p>
鍙屾洸绾夸互鍙婃姏鐗╃嚎杩涜杩囪繖涓や釜鏂归潰鐨勭爺绌讹紝
浠婂ぉ鍦ㄤ笂闈㈠凡
缁忕爺绌剁殑鍩虹涓婃潵瀵规牴鎹凡鐭ユ潯浠舵眰鏇茬嚎鐨勮建杩规柟绋嬬殑甯歌鎶�宸т笌鏂规硶杩涜绯荤粺鍒嗘瀽锛?/p>
(
浜?/p>
)
鍑犵甯歌姹傝建杩规柟绋嬬殑鏂规硶
1
锛庣洿鎺ユ硶
鐢遍璁炬墍缁?/p>
(
鎴栭�氳繃鍒嗘瀽鍥惧舰鐨勫嚑浣曟�ц川鑰屽緱鍑?/p>
)
鐨勫姩鐐规墍婊¤冻鐨勫嚑浣曟潯浠跺垪鍑虹瓑寮忥紝
鍐嶇敤鍧?/p>
鏍囦唬鏇胯繖绛夊紡锛屽寲绠�寰楁洸绾跨殑鏂圭▼锛岃繖绉嶆柟娉曞彨鐩存帴娉曪紟
渚?/p>
1(1)
姹傚拰瀹氬渾
x
2
+y
2
=k
2
鐨勫渾鍛ㄧ殑璺濈绛変簬
k
鐨勫姩鐐?/p>
P
鐨勮建杩规柟绋嬶紱
(2)
杩囩偣
A(a
锛?/p>
o)
浣滃渾
O
鈭?/p>
x
2
+y
2
=R
2
(a
锛?/p>
R
锛?/p>
o)
鐨勫壊绾匡紝姹傚壊绾胯鍦?/p>
O
鎴緱寮︾殑涓偣鐨勮建杩癸紟
瀵?/p>
(1)
鍒嗘瀽锛?/p>
鍔ㄧ偣
P
鐨勮建杩规槸涓嶇煡閬撶殑锛屼笉鑳借�冩煡鍏跺嚑浣曠壒寰侊紝浣嗘槸缁欏嚭浜嗗姩鐐?/p>
P
鐨勮繍鍔ㄨ寰嬶細
|OP|=2R
鎴?/p>
|OP|=0
锛?/p>
瑙ｏ細璁惧姩鐐?/p>
P(x
锛?/p>
y)
锛屽垯鏈?/p>
|OP|=2R
鎴?/p>
|OP|=0
锛?/p>
鍗?/p>
x
2
+y
2
=4R
2
鎴?/p>
x
2
+y
2
=0
锛?/p>
鏁呮墍姹傚姩鐐?/p>
P
鐨勮建杩规柟绋嬩负
x
2
+y
2
=4R
2
鎴?/p>
x
2
+y
2
=0
锛?/p>
瀵?/p>
(2)
鍒嗘瀽锛?/p>
棰樿涓病鏈夊叿浣撶粰鍑哄姩鐐规墍婊¤冻鐨勫嚑浣曟潯浠讹紝
浣嗗彲浠ラ�氳繃鍒嗘瀽鍥惧舰鐨勫嚑浣曟�ц川鑰屽緱鍑猴紝
鍗冲渾
蹇冧笌寮︾殑涓偣杩炵嚎鍨傜洿浜庡鸡锛屽畠浠殑鏂滅巼浜掍负璐熷�掓暟锛庣敱瀛︾敓婕旀澘瀹屾垚锛岃В绛斾负锛?/p>
璁惧鸡鐨勪腑鐐逛负
M(x
锛?/p>
y)
锛岃繛缁?/p>
OM
锛?/p>
鍒?/p>
OM
鈯?/p>
AM
锛?/p>
鈭?/p>
k
OM
路
k
AM
=-1
锛?/p>