Ⅰ SQ0912鏂板姞宸炲仛宸ヨ川閲忕幇鍦ㄦ庝箞鏍凤紝鍚璇寸幇鍦ㄧ殑闈炲父涓嶅ソ锛屾槸鐪熺殑涔堬紵
杩欏彧鏄浜轰簯浜︿簯鐨勮存硶銆傛柊鍔犲窞鐨勫仛宸ョ浉杈冧簬05骞寸殑鏃跺欙紝鐨勭‘鏈変簺缂╂按锛屼絾缁濆规病鍒扳滈潪甯镐笉濂解濈殑绋嬪害銆
涓昏佺缉姘寸殑鍦版柟鍦ㄤ簬浠ヤ笅涓夌偣锛
1锛岀惔棰堢殑鏈ㄦ枡涓嶅備互鍓嶇殑瀹炲湪锛堣繖涓鐐规槸鎳傛湪澶寸殑浜鸿寸殑锛屼笉鏄鎴戣寸殑锛屽弽姝ｆ垜鏄娌＄湅鍑烘潵鏈ㄥご鍝閲屼笉濂戒簡銆備綘涔熷彲浠ヨ嚜宸辨兂鎯筹紝鑰丼Q灏辩畻鍐嶅ソ锛屼篃杩樻槸800鍏冪殑涓滆タ锛屽張鑳界敤澶氬ソ鐨勬湪澶达紵鍚规瘺姹傜柕鑰屽凡锛
2锛岀惔棰堟病涓婃紗銆傝繖涓鏄鏄捐屾槗瑙佺殑銆傜惔棰堜笉涓婃紗鐨勭‘鍘嬬缉浜嗘垚鏈锛屼絾杩欏苟涓嶈兘璇存槑浠涔堥棶棰橈紝濂藉氳繃涓囩殑鐞达紝鐞撮堜篃鏄涓嶄笂婕嗙殑銆傛湁浜鸿翠粈涔堝奖鍝嶈川閲忥紝杩欎釜鏄涓嶅瓨鍦ㄧ殑銆傚亣濡備綘瀹跺お娼鎴栧お骞茬嚗锛屼笂涓嶄笂婕嗛兘涓鏍枫傚彧涓嶈繃鏃堕棿涔呬簡锛岀惔棰堜細鍙樺緱鑴忎竴浜涳紝杩欎釜鍊掓槸鐪熺殑銆
3锛岀惔浣撶殑婕嗗彉鍘氫簡銆傜悊璁轰笂鏉ヨ诧紝杩欐牱浼氳╁０闊冲彉寰楁瘮杈冣滄烩濄備絾浠庡疄闄呬笂鏉ヨ诧紝鎴戣繕鐪熸病鍚鍑烘潵鏂拌丼Q鐨勫０闊充笂鏈夊暐鍖哄埆鈥︹
鎬诲緱鏉ヨ诧紝绾靛悜姣旇緝鐨勮瘽锛岀殑纭鏈夌缉姘达紝浣嗗樊鍒涓嶅ぇ锛侊紒锛佽糠淇¤丼Q鍋氬伐鐨勪汉锛屽傛灉鐪熸敹涓鎶婁簩鎵嬭丼Q锛屽繀瀹氭槸瑕佸悗鎮旂殑銆傛í鍚戞瘮杈冿紝鍦ㄥ備粖鐨勪綆绔甯傚満閲岋紝SQ渚濇棫鏄鎬т环姣旇繕姣旇緝绐佸嚭鐨勪竴娆俱700鍧楅挶浣犺繕鎯充拱鍒颁粈涔堝憿锛
Ⅱ 鍦ㄧ瓑鑵版褰ABCD涓,CD鈥朅B,瀵硅掔嚎AC,BD鐩镐氦浜嶰,鈭燗CD=60,鐐筍,P,Q鍒嗗埆鏄疧D,OA,BC涓鐐
1.鐢卞凡鐭ュ彲寰桹AB涓嶰CD閮芥槸绛夎竟涓夎掑舰锛岃繛鎺CS鍜孊P鍙鐭ワ紝CS鍨傜洿浜嶣D锛孊P鍨傜洿浜嶢C锛屾墍浠ュ湪鐩磋掍笁瑙掑舰BSC涓锛孲Q鏄鏂滆竟BC涓婄殑涓绾匡紝鎵浠SQ=BC/2锛屽悓鐞嗗彲寰桺Q=BC/2锛屽張PS鏄涓夎掑舰OAD鐨勪腑浣嶇嚎锛屾墍浠PS=AD/2
鍙堝洜涓虹瓑鑵版褰AD=BC锛屾墍浠SQ=PS=PQ锛屽嵆涓夎掑舰PQS涓虹瓑杈逛笁瑙掑舰
2.鐢卞凡鐭ュ緱锛孉B=OA=OB=5锛孋D=OC=OD=3锛屽張瑙払OC=120搴︼紝鐢变綑寮﹀畾鐞嗗緱BC=7锛屾墍浠ョ瓑杈逛笁瑙掑舰PQS鐨勮竟闀夸负7/2锛屽垯鍏堕潰绉疭=49鏍瑰彿3/16
3.璁綜D=x锛孉B=y锛岀敱绗浜岄棶涓夎掑舰PQS鐨勯潰绉鍙琛ㄧず涓
[鏍瑰彿3(a^2+ab+b^2)]/16锛屼笁瑙掑舰OAD鐨勯潰绉鍙琛ㄧず涓(鏍瑰彿3ab)/4锛
瀹冧滑鐨勬瘮涓7:8锛屽寲绠寰
2a^2-5ab+2b^2=0
瑙ｅ緱锛宎/b=1/2鎴朼/b=2/1