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鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁＋銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞达紱鍧囨彁渚涙敹璨�(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
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绉戠洰鍚嶇ū锛� 姗�(j墨)姊板師鐞� 绉戠洰浠ｇ⒓锛� 862 婊垮垎锛� 150 鍒�
鑰冪敓璜嬫敞鎰忥細鎵€鏈夌瓟妗堝繀闋堝鍦ㄧ瓟椤岀礄涓�锛屽仛鍦ㄨ│椤岀礄鎴栬€呰崏绋跨礄涓婄殑涓€寰嬬劇鏁堬紒
涓€銆侀伕鎿囬锛堟瘡椤� 2 鍒�锛屽叡 20 鍒嗭級
1. 瑷�(j矛)绠楁(j墨)妲�(g貌u)鑷敱搴︽檪(sh铆)锛岃嫢瑷�(j矛)鍏ヨ櫅绱勬潫锛屽墖姗�(j墨)妲�(g貌u)鑷敱搴﹀氨鏈�(hu矛) 銆�
A 澧炲 B 娓涘皯 C 涓嶈畩
2. 鍩烘湰妗跨祫鐨勮嚜鐢卞害鎳�(y墨ng)鐐� 銆�
A ?1 B 1 C 0
3. 鍦ㄦ(j墨)姊颁腑闃诲姏鑸囧叾浣滅敤榛�(di菐n)閫熷害鏂瑰悜 銆�
A 鐩稿悓 B 涓€瀹氱浉鍙� C 鎴愰姵瑙� D 鐩稿弽鎴栨垚閳嶈
4. 鍦ㄨ粖搴婂垁鏋堕﹨(q奴)鍕�(d貌ng)姗�(j墨)妲�(g貌u)涓紝绲叉潬鐨勮綁(zhu菐n)鍕�(d貌ng)浣胯垏鍒€鏋跺浐鑱�(li谩n)鐨勮灪姣嶄綔绉诲嫊(d貌ng)锛屽墖绲叉潬鑸囪灪姣嶄箣
闁撶殑鎽╂摝鍔涚煩灞簬 銆�
A 椹�(q奴)鍕�(d貌ng)鍔� B 鐢熺敘(ch菐n)闃诲姏 C 鏈夊闃诲姏 D 鎱ｆ€у姏
5. 鑷帠姗�(j墨)妲�(g貌u)涓€鑸槸鎸� 鐨勬(j墨)妲�(g貌u)銆�
A 姝ｈ绋嬭嚜閹� B 鍙嶈绋嬭嚜閹� C 姝ｅ弽琛岀▼閮借嚜閹�
6. 鐣�(d膩ng)鍥涙】姗�(j墨)妲�(g貌u)铏曚簬姝婚粸(di菐n)浣嶇疆鏅�(sh铆)锛屾(j墨)妲�(g貌u)鐨勫鍔涜 銆�
A 鐐� 00
B 鐐� 900
C 鑸囨(g貌u)浠跺昂瀵告湁闂�(gu膩n)
7. 灏�(du矛)蹇冩洸鏌勬粦濉婃(j墨)妲�(g貌u)锛屾洸鏌勯暦鐐篴锛岄€ｆ】闀风偤b锛屽墖鍏舵渶灏忓偝鍕�(d貌ng)瑙捨砿in绛変簬 銆�
A arccos(b/a) B arcsin(a/b) C arccos(a/b)
8. 婕搁枊绶氱洿榻掑湏鏌遍綊杓偝鍕�(d貌ng)鐨勫彲鍒嗘€ф槸鎸� 涓嶅彈涓績璺濊畩鍖栫殑褰遍熆銆�
A 绡€(ji茅)鍦撳崐寰戯紱 B 鍌冲嫊(d貌ng)姣�锛� C 鍤欏悎瑙�
9. 涓嬪垪姗�(j墨)妲�(g貌u)涓�锛屼竴鑸洠浠ュ(sh铆)鐝�(xi脿n)闁撴瓏閬�(y霉n)鍕�(d貌ng)鐨勬槸 銆�
A 妫樿吉姗�(j墨)妲�(g貌u) B 鍑歌吉姗�(j墨)妲�(g貌u) C 妲借吉姗�(j墨)妲�(g貌u) D 鏇叉焺婊戝姗�(j墨)妲�(g貌u)
10. 鍠礆(j铆)铦告】娓涢€熷櫒涓�锛岃澑妗� 1 鑸囪澑杓� 2 鐨勫偝鍕�(d貌ng)姣斾笉绛変簬 銆�
A 1
2
n
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B 2
1
z
z
C 2
1
d
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862锛圓 鍗凤級绗� 2 闋�锛屽叡 3 闋�
浜�銆佸～绌洪锛堟瘡绌�2鍒嗭紝鍏�30鍒嗭級
1. 鍏╂(g貌u)浠朵箣闁撲互绶氭帴瑙告墍绲勬垚鐨勫钩闈㈤亱(y霉n)鍕�(d貌ng)鍓ū鐐� 鍓�锛屽畠鐢�(ch菐n)鐢� 鍊�(g猫)绱勬潫锛�
鑰屼繚鐣欎簡 鍊�(g猫)鑷敱搴�銆�
2. 姗�(j墨)妲�(g貌u)鍏锋湁纰哄畾鐨勭浉灏�(du矛)閬�(y霉n)鍕�(d貌ng)姊濅欢鏄嚜鐢卞害鏁�(sh霉)鐩� 闆讹紝涓斿師鍕�(d貌ng)浠舵暩(sh霉) 姗�(j墨)妲�(g貌u)鐨�
鑷敱搴︼紙濉細澶т簬銆佸皬浜庢垨绛変簬锛�銆�
3. 鐣�(d膩ng)鍏╁€�(g猫)妲�(g貌u)浠剁祫鎴愮Щ鍕�(d貌ng)鍓檪(sh铆)锛屽叾鐬績浣嶄簬鍨傜洿浜庣Щ鍕�(d貌ng)鏂瑰悜鐨� 铏�銆傜暥(d膩ng)鍏╂(g貌u)浠剁祫
鎴愮磾婊惧嫊(d貌ng)鐨勯珮鍓檪(sh铆)锛屽叾鐬績灏卞湪 榛�(di菐n)銆傜暥(d膩ng)姹傛(j墨)妲�(g貌u)鐨勪笉浜掔浉鐩存帴鑱�(li谩n)鎺ュ悇妲�(g貌u)浠堕枔鐨勭灛
蹇冩檪(sh铆)锛屽彲鎳�(y墨ng)鐢� 渚嗘眰銆�
4. 涓€鍊�(g猫)閬�(y霉n)鍕�(d貌ng)鐭㈤噺鏂圭▼鍙兘姹傝В 鍊�(g猫)鏈煡閲�銆�
5. 鐣�(d膩ng)瑷�(j矛)鍏ラ亱(y霉n)鍕�(d貌ng)鍓懇鎿︽晥鎳�(y墨ng)鏅�(sh铆)锛岃綁(zhu菐n)鍕�(d貌ng)鍓腑椹�(q奴)鍕�(d貌ng)鍔涗綔鐢ㄤ簬 灏囩櫦(f膩)鐢熻嚜閹栵紱绉诲嫊(d貌ng)鍓腑椹�(q奴)
鍕�(d貌ng)鍔涚偤鍠竴鍔涗笖浣滅敤浜� 鍏�(n猫i)灏囩櫦(f膩)鐢熻嚜閹�銆�
6. 瑷�(sh猫)铻虹磱鐨勫崌瑙掔偤?锛屾帴瑙搁潰鐨勭暥(d膩ng)閲忔懇鎿︾郴鏁�(sh霉)鐐� fv锛屽墖铻烘棆鍓嚜閹栫殑姊濅欢鏄� 銆�
7. 鍦ㄦ洸鏌勬悥妗挎(j墨)妲�(g貌u)涓�锛岀暥(d膩ng) 鐐哄師鍕�(d貌ng)浠�锛� 鑸� 妲�(g貌u)浠跺叐娆″叡绶氭檪(sh铆)锛屽墖姗�(j墨)妲�(g貌u)鍑虹従(xi脿n)
姝婚粸(di菐n)浣嶇疆銆�
涓夈€佺啊绛旈锛堟瘡椤� 5 鍒�锛屽叡 50 鍒嗭級
1. 瑭︾啊杩伴壐閺堝洓妗挎(j墨)妲�(g貌u)鐨勪笁绋熀鏈鍨嬪強閬�(y霉n)鍕�(d貌ng)鐗归粸(di菐n)銆�
2. 瑭︾啊杩板钩闈㈡(j墨)妲�(g貌u)楂樺壇浣庝唬鐨勫惈缇╁強楂樺壇浣庝唬鎳�(y墨ng)婊胯冻鐨勬浠�銆�
3. 瑭﹁珫杩版几闁嬬窔榻掕吉鐨勯亱(y霉n)鍕�(d貌ng)鍙垎鎬�銆�
4. 瑭︾郸鍑� 3 绋嚫杓(j墨)妲�(g貌u)寰炲嫊(d貌ng)浠堕亱(y霉n)鍕�(d貌ng)瑕�(gu墨)寰嬪苟鍒ゆ柗鍏舵槸鍚﹀瓨鍦ㄥ墰鎬ф垨鏌旀€ф矕鎿娿€�
5. 瑭︾郸鍑� 3 绋兘灏囨棆杞�(zhu菐n)閬�(y霉n)鍕�(d貌ng)杞�(zhu菐n)鍖栫偤鐩寸窔閬�(y霉n)鍕�(d貌ng)鐨勬(j墨)妲�(g貌u)鍚嶇ū銆�
6. 姗�(j墨)鍣ㄩ亱(y霉n)杞�(zhu菐n)鏅�(sh铆)閫熷害娉㈠嫊(d貌ng)鏈夊摢鍏╃ó椤炲瀷锛熷悇绋€熷害娉㈠嫊(d貌ng)濡備綍瑾�(di脿o)绡€(ji茅)锛�
7. 瑷�(sh猫)瑷�(j矛)鐩村嫊(d貌ng)鎺ㄦ】鐩ゅ舰鍑歌吉姗�(j墨)妲�(g貌u)鏅�(sh铆)锛屽湪鎺ㄦ】閬�(y霉n)鍕�(d貌ng)瑕�(gu墨)寰嬩笉璁婄殑姊濅欢涓�锛岄渶娓涘皬鎺ㄧ▼澹撳姏瑙�锛�
鍙噰鐢ㄥ摢浜涙帾鏂斤紵
8. 鍏╃浉灏�(du矛)閬�(y霉n)鍕�(d貌ng)鐨勬(g貌u)浠跺湪浠€涔堟浠朵笅瀛樺湪鍝ユ皬鍔犻€熷害锛熷叾澶у皬鍜屾柟鍚戝浣曠⒑瀹�锛�
9. 瑭﹁珫杩板墰鎬ц綁(zhu菐n)瀛愰潨骞宠 鍜屽嫊(d貌ng)骞宠 鐨勫惈缇╁強浜岃€呬箣闁撶殑杈瓑闂�(gu膩n)绯汇€�
10. 瑭︾郸鍑� 3 绋叿鏈夋€ュ洖鐗规€х殑骞抽潰閫ｆ】姗�(j墨)妲�(g貌u)銆�
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862锛圓 鍗凤級绗� 3 闋侊紝鍏� 3 闋�
鍥�銆佸垎鏋愰锛堝叡 50 鍒嗭級
1. 瑷�(j矛)绠楀湒 1 鎵€绀虹殑骞抽潰姗�(j墨)妲�(g貌u)鐨勮嚜鐢卞害銆傝嫢鏈夊京(f霉)鍚堥壐閺�銆佸眬閮ㄨ嚜鐢卞害鍜岃櫅绱勬潫璜嬫寚鍑�锛�
骞堕€�(j矛n)涓€姝ュ垽鏂风暥(d膩ng)鍘熷嫊(d貌ng)姗�(j墨) AB 闋嗘檪(sh铆)閲濆嫽閫熻綁(zhu菐n)鍕�(d貌ng)鏅�(sh铆)瑭叉(j墨)妲�(g貌u)鏄惁鍏锋湁纰哄畾閬�(y霉n)鍕�(d貌ng)銆傦紙8 鍒嗭級
2. 涓€灏�(du矛)姝ｇ⒑瀹夎鐨勬几闁嬬窔妯�(bi膩o)婧�(zh菙n)鐩撮綊鍦撴煴榻掕吉锛堟甯搁綊鍒讹級銆傚凡鐭ユā鏁�(sh霉) m=2mm锛岄綊鏁�(sh霉)
z1=25锛寊2=50銆傝│姹傦細
锛�1锛夊偝鍕�(d貌ng)姣� i锛屼腑蹇冭窛 a锛�
锛�2锛夊叐榻掕吉鐨勫弮鏁�(sh霉)锛氬垎搴﹀湏 r1銆乺2锛屽熀鍦� rb1銆乺b2锛岄綊闋傚湏 ra1銆乺a2锛�
锛�3锛夋寜 1:1 姣斾緥鐣嚭鍤欏悎鍦�锛屾(bi膩o)鍑哄殭鍚堢窔銆佸殭鍚堣銆佹サ闄愬殭鍚堥粸(di菐n) N1锛孨2锛堜笉鐣綊褰級锛�
锛�4锛夊緸鍤欏悎鍦栦腑妯�(bi膩o)鍑哄(sh铆)闅涘殭鍚堢窔 B1B2锛岄噺鍑哄叾闀风煭锛屽苟瑷�(j矛)绠楄┎灏�(du矛)榻掕吉鐨勯噸鍚堝害?锛岃
鏄庨€欏皪(du矛)榻掕吉鑳藉惁閫ｇ簩(x霉)鍌冲嫊(d貌ng)銆傦紙16 鍒嗭級
3. 宸茬煡鍦� 2 鎵€绀鸿吉绯讳腑 z1=60锛寊2=15锛寊鈥�2=20锛屽悇绯绘ā鏁�(sh霉)鍧囩浉鍚�锛屾眰 z3 鍙� i1锛�銆傦紙10 鍒嗭級
4. 宸茬煡鏌愭(j墨)姊板湪涓€鍊�(g猫)绌�(w臎n)瀹氶亱(y霉n)鍕�(d貌ng)寰挵(hu谩n)鍛ㄦ湡鍏�(n猫i)鐨勭瓑鏁堝姏鐭� Mer 濡傚湒 3 鎵€绀�锛岀瓑鏁堥﹨(q奴)鍕�(d貌ng)鍔涚煩
Med 鐐哄父鏁�(sh霉)銆傝│姹傦細
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锛�2锛夌暙鍑鸿┎姗�(j墨)姊扮郴绲�(t菕ng)鐨勮兘閲忔寚绀哄湒锛�
锛�2锛夋渶澶х泩铏у姛鈻砏max锛�
锛�3锛夌瓑鏁堟(g貌u)浠跺湪鏈€澶ц綁(zhu菐n)閫� nmax 鍙婃渶灏忚綁(zhu菐n)閫� nmin 鏅�(sh铆)鎵€铏曠殑杞�(zhu菐n)瑙掍綅缃€傦紙16 鍒嗭級
鍦� 1 鍦� 2 鍦� 3
锛堣│椤屽畬锛�
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘紝璜嬭伅(li谩n)绯绘垜鍊戠珛鍗冲埅闄�锛屽彟锛氭湰鏂囧儏浠ｈ〃浣滆€呭€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊(sh铆)锛屽皪(du矛)鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹�銆佹枃瀛楃殑鐪熷(sh铆)鎬�銆佸畬鏁存€�銆佸強鏅�(sh铆)鎬ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰冿紝骞惰珛鑷鏍稿(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�
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鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
