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锛堜竴锛夌煡鑳界洰鏍囷細
1
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2
锛庝簩鍏冧竴娆℃柟绋嬬粍鐨勮В
锛堜簩锛夋儏鎰熺洰鏍囷細
1
銆傞�氳繃涓ょ洿绾夸氦鐐瑰拰浜屽厓涓�娆℃柟绋嬬粍鐨勮仈绯伙紝浠庤�岃璇嗕簨鐗╀箣闂寸殑鍐?/p>
鐨勮仈绯汇�?/p>
2
锛庤兘澶熺敤杈╄瘉鐨勮鐐圭湅闂銆?/p>
浜屻�佹暀瀛﹂噸鐐癸紝闅剧偣
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闅剧偣锛氫袱鐩寸嚎鐩镐氦涓庝簩鍏冧竴娆℃柟绋嬬殑鍏崇郴銆?/p>
涓夈�佹暀瀛﹁繃绋嬶細
锛堜竴锛夎棰樺鍏?/p>
鐢ㄥぇ灞忓箷鎵撳嚭鐩磋鍧愭爣绯讳腑涓ょ洿绾匡紝
绉诲姩鐩寸嚎锛?/p>
璁╁鐢熻瀵熻繖涓ょ洿绾跨殑浣嶇疆鍏崇郴銆?/p>
璇惧爞璁鹃棶
涓�锛?/p>
鐢辩洿绾挎柟绋嬬殑姒傚康锛?/p>
鎴戜滑鐭ラ亾鐩寸嚎涓婄殑涓�鐐逛笌浜屽厓涓�娆℃柟绋嬬殑瑙ｇ殑鍏崇郴锛?/p>
閭ｅ鏋滀袱鐩寸嚎
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锛堜簩锛?/p>
鎺㈢爺鏂扮煡
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L1
锛?/p>
A1x+B1y
+C1=0,L2
锛?/p>
A2x+B2y+C2=0
濡備綍鍒ゆ柇杩欎袱鏉＄洿绾跨殑鍏崇郴锛?/p>
鏁欏笀寮曞瀛︾敓鍏堜粠鐐逛笌鐩寸嚎鐨勪綅缃叧绯诲叆鎵嬶紝鐪嬭〃涓�锛屽苟濉┖銆?/p>
鍑犱綍鍏冪礌鍙婂叧绯?/p>
浠ｆ暟琛ㄧず
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A A
锛?/p>
a
锛?/p>
b
锛?/p>
鐩寸嚎
L
L
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Ax+By+C=0
鐐?/p>
A
鍦ㄧ洿绾夸笂
鐩寸嚎
L1
涓?/p>
L2
鐨勪氦鐐?/p>
A
璇惧爞璁鹃棶浜岋細濡傛灉涓ゆ潯鐩寸嚎鐩镐氦锛屾�庢牱姹備氦鐐瑰潗鏍囷紵浜ょ偣鍧愭爣涓庝簩鍏冧竴娆℃柟绋嬬粍鏈?/p>
浠�鍏崇郴锛?/p>
瀛︾敓杩涜鍒嗙粍璁?/p>
璁猴紝
鏁欏笀寮曞瀛︾敓褰掔撼鍑轰袱鐩寸嚎鏄惁鐩镐氦涓庡叾鏂圭▼鎵�缁勬垚鐨勬柟绋嬬粍
鏈変綍鍏崇郴锛?/p>
锛?/p>
1
锛?/p>
鑻ヤ簩鍏冧竴娆℃柟绋嬬粍鏈夊敮涓�瑙ｏ紝
L 1
涓?/p>
L2
鐩镐氦銆?/p>
锛?/p>
2
锛?/p>
鑻ヤ簩鍏冧竴娆℃柟绋嬬粍鏃犺В锛屽垯
L 1
涓?/p>
L2
骞宠銆?/p>
锛?/p>
3
锛?/p>
鑻ヤ簩鍏冧竴娆℃柟绋嬬粍鏈夋棤鏁拌В锛屽垯
L 1
涓?/p>
L2
閲嶅悎銆?/p>
璇惧悗鎺㈢┒锛氫袱鐩寸嚎鏄惁鐩镐氦涓庡叾鏂圭▼缁勬垚鐨勬柟绋嬬粍鐨勭郴鏁版湁浣曞叧绯伙紵
1
锛?/p>
渚嬮璁茶В锛岃鑼冭〃绀猴紝瑙ｅ喅闂
渚嬮
1
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L1
锛?/p>
3x+4y-2=0
L1
锛?/p>
2x+y +2=0