Ⅰ SQ0912鏂板姞宸炲仛宸ヨ川閲忕幇鍦ㄦ庝箞鏍鳳紝鍚璇寸幇鍦ㄧ殑闈炲父涓嶅ソ錛屾槸鐪熺殑涔堬紵
榪欏彧鏄浜轟簯浜︿簯鐨勮存硶銆傛柊鍔犲窞鐨勫仛宸ョ浉杈冧簬05騫寸殑鏃跺欙紝鐨勭『鏈変簺緙╂按錛屼絾緇濆規病鍒扳滈潪甯鎬笉濂解濈殑紼嬪害銆
涓昏佺緝姘寸殑鍦版柟鍦ㄤ簬浠ヤ笅涓夌偣錛
1錛岀惔棰堢殑鏈ㄦ枡涓嶅備互鍓嶇殑瀹炲湪錛堣繖涓鐐規槸鎳傛湪澶寸殑浜鴻寸殑錛屼笉鏄鎴戣寸殑錛屽弽姝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籌紝鑰丼Q灝辯畻鍐嶅ソ錛屼篃榪樻槸800鍏冪殑涓滆タ錛屽張鑳界敤澶氬ソ鐨勬湪澶達紵鍚規瘺奼傜柕鑰屽凡錛
2錛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『鍘嬬緝浜嗘垚鏈錛屼絾榪欏苟涓嶈兘璇存槑浠涔堥棶棰橈紝濂藉氳繃涓囩殑鐞達紝鐞撮堜篃鏄涓嶄笂婕嗙殑銆傛湁浜鴻翠粈涔堝獎鍝嶈川閲忥紝榪欎釜鏄涓嶅瓨鍦ㄧ殑銆傚亣濡備綘瀹跺お娼鎴栧お騫茬嚗錛屼笂涓嶄笂婕嗛兘涓鏍楓傚彧涓嶈繃鏃墮棿涔呬簡錛岀惔棰堜細鍙樺緱鑴忎竴浜涳紝榪欎釜鍊掓槸鐪熺殑銆
3錛岀惔浣撶殑婕嗗彉鍘氫簡銆傜悊璁轟笂鏉ヨ詫紝榪欐牱浼氳╁０闊沖彉寰楁瘮杈冣滄燴濄備絾浠庡疄闄呬笂鏉ヨ詫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︹
鎬誨緱鏉ヨ詫紝綰靛悜姣旇緝鐨勮瘽錛岀殑紜鏈夌緝姘達紝浣嗗樊鍒涓嶅ぇ錛侊紒錛佽糠淇¤丼Q鍋氬伐鐨勪漢錛屽傛灉鐪熸敹涓鎶婁簩鎵嬭丼Q錛屽繀瀹氭槸瑕佸悗鎮旂殑銆傛í鍚戞瘮杈冿紝鍦ㄥ備粖鐨勪綆絝甯傚満閲岋紝SQ渚濇棫鏄鎬т環姣旇繕姣旇緝紿佸嚭鐨勪竴嬈俱700鍧楅挶浣犺繕鎯充拱鍒頒粈涔堝憿錛
Ⅱ 鍦ㄧ瓑鑵版褰ABCD涓,CD鈥朅B,瀵硅掔嚎AC,BD鐩鎬氦浜嶰,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閮芥槸絳夎竟涓夎掑艦錛岃繛鎺CS鍜孊P鍙鐭ワ紝CS鍨傜洿浜嶣D錛孊P鍨傜洿浜嶢C錛屾墍浠ュ湪鐩磋掍笁瑙掑艦BSC涓錛孲Q鏄鏂滆竟BC涓婄殑涓綰匡紝鎵浠SQ=BC/2錛屽悓鐞嗗彲寰桺Q=BC/2錛屽張PS鏄涓夎掑艦OAD鐨勪腑浣嶇嚎錛屾墍浠PS=AD/2
鍙堝洜涓虹瓑鑵版褰AD=BC錛屾墍浠SQ=PS=PQ錛屽嵆涓夎掑艦PQS涓虹瓑杈逛笁瑙掑艦
2.鐢卞凡鐭ュ緱錛孉B=OA=OB=5錛孋D=OC=OD=3錛屽張瑙払OC=120搴︼紝鐢變綑寮﹀畾鐞嗗緱BC=7錛屾墍浠ョ瓑杈逛笁瑙掑艦PQS鐨勮竟闀誇負7/2錛屽垯鍏墮潰縐瘲=49鏍瑰彿3/16
3.璁綜D=x錛孉B=y錛岀敱絎浜岄棶涓夎掑艦PQS鐨勯潰縐鍙琛ㄧず涓
[鏍瑰彿3(a^2+ab+b^2)]/16錛屼笁瑙掑艦OAD鐨勯潰縐鍙琛ㄧず涓(鏍瑰彿3ab)/4錛
瀹冧滑鐨勬瘮涓7:8錛屽寲綆寰
2a^2-5ab+2b^2=0
瑙ｅ緱錛宎/b=1/2鎴朼/b=2/1