届高考数学空间向量与立体几何备考复习教案.docx

届高考数学空间向量与立体几何备考复习教案.docx

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届高考数学空间向量与立体几何备考复习教案

2012届高考数学空间向量与立体几何备考复习教案

涓撻鍥涳細绔嬩綋鍑犱綍绗笁璁?

绌洪棿鍚戦噺涓庣珛浣撳嚑浣?

銆愭渶鏂拌€冪翰閫忔瀽銆?

1锛庣┖闂村悜閲忓強鍏惰繍绠?

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锛夋帉鎻＄┖闂村悜閲忕殑绾挎€ц繍绠楀強鍏跺潗鏍囪〃绀恒€?

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锛夋帉鎻＄┖闂村悜閲忕殑鏁伴噺绉強鍏跺潗鏍囪〃绀猴紝鑳借繍鐢ㄥ悜閲忕殑鏁伴噺绉垽鏂悜閲忕殑鍏辩嚎涓庡瀭鐩淬€?

2锛庣┖闂村悜閲忕殑搴旂敤锛?

锛夌悊瑙ｇ洿绾跨殑鏂瑰悜鍚戦噺涓庡钩闈㈢殑娉曞悜閲忋€?

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锛夎兘鐢ㄥ悜閲忔柟娉曡瘉鏄庢湁鍏崇洿绾垮拰骞抽潰浣嶇疆鍏崇郴鐨勪竴浜涘畾鐞嗭紙鍖呮嫭涓夊瀭绾垮畾鐞嗭級銆?

锛?

锛夎兘鐢ㄥ悜閲忔柟娉曡В鍐崇洿绾夸笌鐩寸嚎銆佺洿绾夸笌骞抽潰銆佸钩闈笌骞抽潰鐨勫す瑙掔殑璁＄畻闂锛屼簡瑙ｅ悜閲忔柟娉曞湪鐮旂┒绔嬩綋鍑犱綍闂涓殑搴旂敤銆?

銆愭牳蹇冭鐐圭獊鐮淬€?

瑕佺偣鑰冨悜1锛氬埄鐢ㄧ┖闂村悜閲忚瘉鏄庣┖闂翠綅缃叧绯?

鑰冩儏鑱氱劍锛?

锛庡钩琛屼笌鍨傜洿鏄┖闂村叧绯讳腑鏈€閲嶈鐨勪綅缃叧绯伙紝涔熸槸姣忓勾鐨勫繀鑰冨唴瀹癸紝鍒╃敤绌洪棿鍚戦噺鍒ゆ柇绌洪棿浣嶇疆鍏崇郴鏇存槸杩戝嚑骞撮珮鑰冮鐨勬柊浜偣銆?

2锛庨鍨嬬伒娲诲鏍凤紝闅惧害涓轰腑妗ｉ锛屼笖甯歌€冨父鏂般€?

鑰冨悜閾炬帴锛?

锛庣┖闂翠腑绾块潰鐨勫钩琛屼笌鍨傜洿鏄珛浣撳嚑浣曚腑缁忓父鑰冩煡鐨勪竴涓噸瑕佸唴瀹癸紝涓€鏂归潰鑰冩煡瀛︾敓鐨勭┖闂存兂璞¤兘鍔涘拰閫昏緫鎺ㄧ悊鑳藉姏锛涘彟涓€涓柟闈㈣€冩煡鈥滃悜閲忔硶鈥濈殑搴旂敤銆?

2锛庣┖闂翠腑绾块潰鐨勫钩琛屼笌鍨傜洿鐨勮瘉鏄庢湁涓や釜鎬濊矾锛氫竴鏄埄鐢ㄧ浉搴旂殑鍒ゅ畾瀹氱悊鍜屾€ц川瀹氱悊鍘昏В鍐筹紱浜屾槸鍒╃敤绌洪棿鍚戦噺鏉ヨ璇併€?

渚?

锛氾紙2010鈥㈠畨寰介珮鑰冪悊绉戔€即18锛夊鍥撅紝鍦ㄥ闈綋涓紝鍥涜竟褰?

鏄鏂瑰舰锛?

鈭?

锛?

锛?

锛?

锛?

锛?

涓?

鐨勪腑鐐广€?

（1）姹傝瘉锛?

鈭ュ钩闈?

锛?

（2）姹傝瘉锛?

骞抽潰锛?

（3）姹備簩闈㈣鐨勫ぇ灏忋€?

銆愬懡棰樼珛鎰忋€戞湰棰樹富瑕佽€冩煡浜嗙┖闂村嚑浣曚綋鐨?

绾块潰骞宠銆佺嚎闈㈠瀭鐩寸殑璇佹槑銆佷簩闈㈣鐨勬眰瑙ｇ殑闂锛岃€冩煡浜嗚€冪敓鐨勭┖闂存兂璞¤兘鍔涖€佹帹鐞嗚璇佽兘鍔涘拰杩愮畻姹傝В鑳藉姏銆?

銆愭€濊矾鐐规嫧銆戝彲浠ラ噰鐢ㄧ患鍚堟硶璇佹槑锛屼害鍙噰鐢ㄥ悜閲忔硶璇佹槑銆?

銆愯鑼冭В绛斻€?

（1）

（2）（3）銆愭柟娉曟妧宸с€?

銆佽瘉鏄庣嚎闈㈠钩琛岄€氬父杞寲涓鸿瘉鏄庣洿绾夸笌骞抽潰鍐呯殑涓€鏉＄洿绾垮钩琛岋紱2銆佽瘉鏄庣嚎闈㈠瀭鐩撮€氬父杞寲涓鸿瘉鏄庣洿绾夸笌骞抽潰鍐呯殑涓ゆ潯鐩镐氦鐩寸嚎鍨傜洿锛?

3銆佺‘瀹氫簩闈㈣鐨勫ぇ灏忥紝鍙互鍏堟瀯閫犱簩闈㈣鐨勫钩闈㈣锛岀劧鍚庤浆鍖栧埌涓€涓悎閫傜殑涓夎褰腑杩涜姹傝В銆?

4銆佷互涓婄珛浣撳嚑浣曚腑鐨勫父瑙侀棶棰橈紝涔熷彲浠ラ噰鐢ㄥ悜閲忔硶寤虹珛绌洪棿鐩磋鍧愭爣绯伙紝杞寲涓哄悜閲忛棶棰樿繘琛屾眰瑙ｈ瘉鏄庛€傚簲鐢ㄥ悜閲忔硶瑙ｉ锛屾€濊矾绠€鍗曪紝鏄撲簬鎿嶄綔锛屾帹鑽愪娇鐢ㄣ€?

瑕佺偣鑰冨悜2锛氬埄鐢ㄧ┖闂村悜閲忔眰绾跨嚎瑙掋€佺嚎闈㈣鑰冩儏鑱氱劍锛?

锛庣嚎绾胯銆佺嚎闈㈣鏄珮鑰冨懡棰樼殑閲嶇偣鍐呭锛屽嚑涔庢瘡骞撮兘鑰冦€?

2锛庡湪鍚勭被棰樺瀷涓潎鍙嚭鐜帮紝鐗瑰埆浠ヨВ绛旈涓轰富锛屽睘浜庝綆銆佷腑妗ｉ銆?

鑰冨悜閾炬帴锛?

锛庡埄鐢ㄧ┖闂村悜閲忔眰涓ゅ紓闈㈢洿绾挎墍鎴愮殑瑙?

鐩寸嚎涓庡钩闈㈡墍鎴愮殑瑙掔殑鏂规硶鍙婂叕寮忎负:

锛?

锛夊紓闈㈢洿绾挎墍鎴愯璁?

鍒嗗埆涓哄紓闈㈢洿绾?

鐨勬柟鍚戝悜閲忥紝鍒?

锛?

锛夌嚎闈㈣璁?

鏄洿绾?

鐨勬柟鍚戝悜閲忥紝鏄钩闈㈢殑娉曞悜閲忥紝鍒?

2锛庤繍鐢ㄧ┖闂村悜閲忓潗鏍囪繍绠楁眰绌洪棿瑙掔殑涓€鑸楠や负锛?

锛?

锛夊缓绔嬫伆褰撶殑绌洪棿鐩磋鍧愭爣銆傦紙2锛夋眰鍑虹浉鍏崇偣鐨勫潗鏍囥€傦紙3锛夊啓鍑哄悜閲忓潗鏍囥€傦紙4锛夌粨鍚堝叕寮忚繘琛岃璇併€佽绠椼€傦紙5锛夎浆鍖栦负鍑犱綍缁撹銆?

渚?

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锛堚厾锛夎瘉鏄庯細CM鈯N锛?

锛堚叀锛夋眰SN涓庡钩闈MN鎵€鎴愯鐨勫ぇ灏?

銆愬懡棰樼珛鎰忋€戞湰棰樿€冩煡浜嗙┖闂村嚑浣曚綋鐨勭嚎闈笌闈㈤潰鍨傜洿銆佺嚎闈㈣鐨勬眰瑙ｄ互鍙婂嚑浣曚綋鐨勮绠楅棶棰橈紝鑰冩煡浜嗚€冪敓鐨勭┖闂存兂璞¤兘鍔涖€佹帹鐞嗚璇佽兘鍔涘拰杩愮畻姹傝В鑳藉姏銆?

銆愭€濊矾鐐规嫧銆戝缓绯伙紝鍐欏嚭鏈夊叧鐐瑰潗鏍囥€佸悜閲忕殑鍧愭爣锛?

璁＄畻鐨勬暟閲忕Н锛屽啓鍑虹瓟妗堬紱姹傚钩闈MN鐨勬硶鍚戦噺锛屾眰绾块潰瑙掔殑浣欏鸡锛屾眰绾块潰瑙掞紝鍐欏嚭绛旀銆?

銆愯鑼冭В绛斻€?

璁綪A锛?

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鍒橮（0,0,1）锛孋（0,1,0）锛孊（2,0,0）锛孧（1,0,）锛孨（,0,0）锛孲（1,,0）锛圛锛?

銆愭柟娉曟妧宸с€戯紙1锛夌┖闂翠腑璇佹槑绾跨嚎锛岀嚎闈㈠瀭鐩达紝缁忓父鐢ㄥ悜閲忔硶銆?

锛?

锛夋眰绾块潰瑙掑線寰€杞寲鎴愮洿绾跨殑鏂瑰悜鍚戦噺涓庡钩闈㈢殑娉曞悜閲忕殑澶硅闂鏉ヨВ鍐炽€?

锛?

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閲忎笌骞抽潰娉曞悜閲忕殑澶硅鐨勪綑寮︽槸闈炶礋鐨勶紝瑕佸彇缁濆鍊笺€?

瑕佺偣鑰冨悜3锛氬埄鐢ㄧ┖闂村悜閲忔眰浜岄潰瑙?

鑰冩儏鑱氱劍锛?

锛庝簩闈㈣鏄珮鑰冨懡棰樼殑閲嶇偣鍐呭锛屾槸骞村勾蹇呰€冪殑鐭ヨ瘑鐐广€?

2锛庡父浠ヨВ绛旈鐨勫舰寮忓嚭鐜帮紝灞炰腑妗ｉ鎴栭珮妗ｉ銆?

鑰冨悜閾炬帴锛氭眰浜岄潰瑙掓渶甯哥敤鐨勫姙娉曞氨鏄垎鍒眰鍑轰簩闈㈣鐨勪袱涓潰鎵€鍦ㄥ钩闈㈢殑娉曞悜閲忥紝鐒跺悗閫氳繃涓や釜骞抽潰鐨勬硶鍚戦噺鐨勫す瑙掑緱鍒颁簩闈㈣鐨勫ぇ灏忥紝浣嗚娉ㄦ剰缁撳悎瀹為檯鍥惧舰鍒ゆ柇鎵€姹傝鏄攼瑙掕繕鏄挐瑙掋€?

鍏惰绠楀叕寮忎负锛氳鍒嗗埆涓哄钩闈?

鐨勬硶鍚戦噺锛屽垯涓?

浜掕ˉ鎴栫浉绛夛紝渚?

锛氾紙2010鈥㈠ぉ娲ラ珮鑰冪悊绉戔€即锛?

锛?

濡傚浘锛屽湪闀挎柟浣?

涓紝銆?

鍒嗗埆鏄１,涓婄殑鐐癸紝,姹傚紓闈㈢洿绾?

涓?

鎵€鎴愯鐨勪綑寮﹀€硷紱璇佹槑骞抽潰姹備簩闈㈣鐨勬寮﹀€笺€?

銆愬懡棰樼珛鎰忋€戞湰灏忛涓昏鑰冩煡寮傞潰鐩寸嚎鎵€鎴愮殑瑙掋€佺洿绾夸笌骞抽潰鍨傜洿銆佷簩闈㈣绛夊熀纭€鐭ヨ瘑锛岃€冩煡鐢ㄧ┖闂村悜閲忚В鍐崇珛浣撳嚑浣曢棶棰樼殑鏂规硶锛岃€冩煡绌洪棿鎯宠薄鑳藉姏銆佽繍绠楄兘鍔涘拰鎺ㄧ悊璁鸿瘉鑳藉姏銆?

銆愭€濊矾鐐规嫧銆戝缓绔嬬┖闂寸洿瑙掑潗鏍囩郴鎴栧父瑙勬柟娉曞鐞嗛棶棰樸€?

銆愯鑼冭В绛斻€戞柟娉曚竴锛氫互A涓哄潗鏍囧師鐐癸紝AB鎵€鍦ㄧ洿绾夸负X杞达紝AD鎵€鍦ㄧ洿绾夸负Y杞村缓绔嬬┖闂寸洿瑙掑潗鏍囩郴锛堝鍥炬墍绀猴級锛岃,渚濋鎰忓緱,,,鏄撳緱,锛屼簬鏄?

锛?

鎵€浠ュ紓闈㈢洿绾?

涓?

鎵€鎴愯鐨勪綑寮﹀€间负銆?

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锛夊彲鐭ワ紝涓哄钩闈?

鐨勪竴涓硶鍚戦噺銆?

浜庢槸锛屼粠鑰?

鎵€浠ヤ簩闈㈣鐨勬寮﹀€间负瑕佺偣鑰冨悜4锛氬埄鐢ㄧ┖闂村悜閲忚В鍐虫帰绱㈡€ч棶棰?

鑰冩儏鑱氱劍锛氱珛浣撳嚑浣曚腑宸茬煡缁撹瀵绘眰缁撹鎴愮珛鐨勬潯浠讹紙鎴栨槸鍚﹀瓨鍦ㄩ棶棰橈級锛岃兘杈冨ソ鍦拌€冩煡瀛︾敓鐨勯€昏緫鎺ㄧ悊鑳藉姏鍜岀┖闂存兂璞¤兘鍔涳紝鏄粖鍚庤€冩煡鐨勯噸鐐癸紝涔熻兘寰堝ソ鍦颁綋鐜版柊璇炬爣楂樿€冪殑鐗圭偣銆?

渚?

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锛夈€傚綋p鍙栨渶澶у€兼椂锛屾眰cos鐨勫€笺€?

銆愬懡棰樼珛鎰忋€戞湰灏忛涓昏鑰冩煡鐩寸嚎涓庣洿绾裤€佺洿绾夸笌骞抽潰銆佸钩闈笌骞抽潰鐨勪綅缃叧绯伙紝浠ュ強鍑犱綍浣撶殑浣撶Н銆佸嚑浣曟鍨嬬瓑鍩虹鐭ヨ瘑锛涜€冩煡绌洪棿鎯宠薄鑳藉姏銆佹帹鐞嗚璇佽兘鍔涖€佽繍绠楁眰瑙ｈ兘鍔涳紱鑰冩煡鏁板舰缁撳悎鎬濇兂銆佸寲褰掍笌杞寲鎬濇兂銆佸繀鐒朵笌鎴栫劧鎬濇兂銆?

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銆愯鑼冭В绛斻€?

锛圛锛?

骞抽潰锛?

骞抽潰锛?

锛屽張鏄?

鐨勭洿寰勶紝锛屽張锛?

骞抽潰锛岃€?

骞抽潰锛屾墍浠ュ钩闈?

骞抽潰锛?

锛圛I锛夛紙i锛夎鍦嗘煴鐨勫簳闈㈠崐寰勪负锛屽垯锛屾晠鍦嗘煴鐨勪綋绉负锛岃涓夋１鏌盇BC-A1B1C1,鐨勪綋绉负锛屾墍浠?

锛屾墍浠ュ綋鍙栧緱鏈€澶у€兼椂鍙栧緱鏈€澶у€笺€傚張鍥犱负鐐?

鍦ㄥ渾鍛ㄤ笂杩愬姩锛屾墍浠ュ綋鏃讹紝鐨勯潰绉渶澶э紝杩涜€岋紝涓夋１鏌盇BC-A1B1C1,鐨勪綋绉?

鏈€澶э紝涓斿叾鏈€澶у€间负锛屾晠鐨勬渶澶у€间负锛?

锛坕i锛夌敱锛坕锛夌煡锛?

鍙栨渶澶у€兼椂锛?

锛屼簬鏄紝浠?

涓哄潗鏍囧師鐐癸紝寤虹珛绌洪棿鐩磋鍧愭爣绯?

锛屽垯骞抽潰锛?

鏄钩闈?

鐨勪竴涓硶鍚戦噺锛岃骞抽潰鐨勬硶鍚戦噺涓?

锛岀敱浜?

锛?

锛?

鎵€浠ュ钩闈?

鐨勪竴涓硶鍚戦噺涓?

锛?

锛?

銆?

銆愭柟娉曟妧宸с€戠珛浣撳嚑浣曚腑鎴戜滑鍙互鍒╃敤绌洪棿鍚戦噺澶勭悊甯歌鐨勯棶棰橈紝鏈鐨勶紙II锛夛紙i锛変篃鍙互閲囩敤鍚戦噺娉曡繘琛岃瘉鏄庯細浠?

涓哄潗鏍囧師鐐癸紝寤虹珛绌洪棿鐩磋鍧愭爣绯?

锛岃鍦嗘煴鐨勫簳闈㈠崐寰勪负锛?

锛屽垯锛屾晠鍦嗘煴鐨勪綋绉负锛岃涓夋１鏌盇BC-A1B1C1,鐨勪綋绉负锛屾墍浠?

锛屾墍浠ュ綋鍙栧緱鏈€澶у€兼椂鍙栧緱鏈€澶у€笺€?

锛屾墍浠ュ綋鏃剁殑鐨勯潰绉渶澶э紝杩涜€岋紝涓夋１鏌盇BC-A1B1C1,鐨勪綋绉?

鏈€澶э紝涓斿叾鏈€澶у€间负锛屾晠鐨勬渶澶у€间负锛?

銆愰珮鑰冪湡棰樻帰绌躲€?

1.锛?

010鈥㈠箍涓滈珮鑰冪悊绉戔€即锛?

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1,x锛?

=（1,2,1）,=（1,1,1）,婊¤冻鏉′欢=-2,鍒?

=.銆愬懡棰樼珛鎰忋€戞湰棰樿€冨療绌洪棿鍚戦噺鐨勫潗鏍囪繍绠楀強鍚戦噺鐨勬暟閲忕Н杩愮畻.銆愭€濊矾鐐规嫧銆?

鍏堢畻鍑?

銆?

锛屽啀鐢卞悜閲忕殑鏁伴噺绉垪鍑烘柟绋嬶紝浠庤€屾眰鍑?

銆愯鑼冭В绛斻€?

锛?

锛岀敱寰?

锛屽嵆锛岃В寰?

銆愮瓟妗堛€?

2.锛?

010鈥㈡禉姹熼珮鑰冪悊绉戔€即20锛夊鍥撅紝鍦ㄧ煩褰?

涓紝鐐?

鍒嗗埆鍦ㄧ嚎娈?

涓婏紝.娌跨洿绾?

灏?

缈绘姌鎴?

锛屼娇骞抽潰.锛堚厾锛夋眰浜岄潰瑙?

鐨勪綑寮﹀€硷紱锛堚叀锛夌偣鍒嗗埆鍦ㄧ嚎娈?

涓婏紝鑻ユ部鐩寸嚎灏嗗洓杈瑰舰鍚戜笂缈绘姌锛屼娇涓?

閲嶅悎锛屾眰绾挎鐨勯暱銆?

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銆愯鑼冭В绛斻€戞柟娉曚竴锛氾紙鈪狅級鍙栫嚎娈礒F鐨勪腑鐐笻锛岃繛缁?

锛屽洜涓?

=鍙奌鏄疎F鐨勪腑鐐癸紝鎵€浠?

鍙堝洜涓哄钩闈?

骞抽潰.濡傚浘寤虹珛绌洪棿鐩磋鍧愭爣绯籄-xyz锛屽垯锛?

锛?

锛?

锛夛紝C锛?

0锛?

锛?

锛夛紝F锛?

锛?

锛?

锛夛紝D锛?

0锛?

锛?

锛?

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=锛?

2锛?

锛?

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锛?

锛?

锛?

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=锛坸,y,z锛変负骞抽潰鐨勪竴涓硶鍚戦噺锛屾墍浠?

銆?

鍙?

锛屽垯銆?

鍙堝钩闈?

鐨勪竴涓硶鍚戦噺锛屾晠銆?

鎵€浠ヤ簩闈㈣鐨勪綑寮﹀€间负锛堚叀锛夎锛屽垯锛?

锛?

鍥犱负缈绘姌鍚庯紝涓?

閲嶅悎锛屾墍浠?

锛?

锛?

鏁咃紝锛屽緱锛?

锛?

鎵€浠?

銆?

3.锛?

010鈥㈤檿瑗块珮鑰冪悊绉戔€即锛?

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BC=锛孍锛孎鍒嗗埆鏄疉D,PC鐨勪腑鐐?

锛堚厾锛夎瘉鏄庯細PC鈯ュ钩闈EF锛?

锛堚叀锛夋眰骞抽潰BEF涓庡钩闈AP澶硅鐨勫ぇ灏忋€?

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銆愭€濊矾鐐规嫧銆戞€濊矾涓€锛氬缓绔嬬┖闂寸洿瑙掑潗鏍囩郴锛屽埄鐢ㄧ┖闂村悜閲忔眰瑙ｏ紱鎬濊矾浜岋細鍒╃敤鍑犱綍娉曟眰瑙?

銆愯鑼冭В绛斻€戣В娉曚竴锛堚厾锛夊鍥撅紝浠涓哄潗鏍囧師鐐癸紝AB锛孉D锛孉P鎵€鍦ㄧ殑鐩寸嚎鍒嗗埆涓簒锛寉锛寊杞村缓绔嬬┖闂寸洿瑙掑潗鏍囩郴.鈭礎P=AB=2锛?

BC=锛屽洓杈瑰舰ABCD鏄煩褰?

鈭碅锛孊锛孋锛孌鐨勫潗鏍囦负A（0,0,0）,B（2,0,0）,C（2,,0）锛孌（0锛?

锛?

）锛孭（0,0,2）鍙圗锛孎鍒嗗埆鏄疉D锛孭C鐨勪腑鐐癸紝鈭碋（0锛?

锛?

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锛?

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锛?

锛?

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锛?

锛?

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鈥?

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鈥?

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鈭?

鈯?

锛?

鈯?

锛?

鈭碢C鈯F,PC鈯F,,鈭碢C鈯ュ钩闈EF锛圛I锛夌敱锛圛锛夌煡骞抽潰BEF鐨勬硶鍚戦噺骞抽潰BAP鐨勬硶鍚戦噺璁惧钩闈EF涓庡钩闈AP鐨勫す瑙掍负锛?

鍒?

鈭?

锛?

鈭?

骞抽潰BEF涓庡钩闈AP鐨勫す瑙掍负4.锛?

010鈥㈤噸搴嗛珮鑰冩枃绉戔€即20锛夊棰樺浘锛屽洓妫遍敟涓紝搴曢潰涓虹煩褰紝锛?

锛?

鐐?

鏄１鐨勪腑鐐?

锛圛锛夎瘉鏄庯細锛?

锛圛I锛夎嫢锛屾眰浜岄潰瑙?

鐨勫钩闈㈣鐨勪綑寮﹀€?

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銆愯鑼冭В绛斻€戯紙I锛変互涓哄潗鏍囧師鐐癸紝灏勭嚎鍒嗗埆涓?

杞淬€?

杞淬€?

杞寸殑姝ｅ崐杞达紝寤虹珛绌洪棿鐩磋鍧愭爣绯?

.濡傚浘鎵€绀?

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锛?

锛?

銆備簬鏄?

锛?

锛?

锛屽垯锛?

鎵€浠?

锛屾晠.锛圛I锛夎骞抽潰BEC鐨勬硶鍚戦噺涓?

锛岀敱锛堚厾锛夌煡锛?

锛屾晠鍙彇.璁惧钩闈EC鐨勬硶鍚戦噺锛屽垯锛岋紝鐢?

锛屽緱D锛孏锛?

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锛?

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锛?

锛屽彲鍙?

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5.锛?

010鈥㈡睙瑗块珮鑰冩枃绉戔€即锛掞紣锛?

濡傚浘锛?

涓?

閮芥槸杈归暱涓?

鐨勬涓夎褰紝骞抽潰骞抽潰锛?

骞抽潰锛?

.锛?

锛夋眰鐩寸嚎涓庡钩闈?

鎵€鎴愮殑瑙掔殑澶у皬锛?

锛?

锛夋眰骞抽潰涓庡钩闈?

鎵€鎴愮殑浜岄潰瑙掔殑姝ｅ鸡鍊?

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锛夌洿鎺ユ壘鍑虹嚎闈㈣锛岀劧鍚庢眰瑙ｏ紱锛?

锛夊浜岄潰瑙掔殑姹傛硶鎬濊矾锛?

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鍏朵腑鈥滀綔鈥濇槸鍏抽敭锛?

鈥滆瘉鈥?

鏄毦鐐?

娉曚簩锛氬缓绔嬬┖闂寸洿瑙掑潗鏍囩郴锛屽埄鐢ㄧ┖闂村悜閲忎腑鐨勬硶鍚戦噺姹傝В.

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OB=OM=锛屽垯鍚勭偣鍧愭爣鍒嗗埆涓篛锛?

锛?

锛?

锛夛紝C锛?

锛?

锛?

锛夛紝M锛?

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