绗?/p>
1
椤?/p>
2019
骞撮珮鑰冪墿鐞嗙涓�杞涔狅細纾佸満涓撻
鎻愰珮缁冧範
涓�銆佸崟閫夐
1
锛庡鍥撅紝鐩寸嚎
涓婃柟鍒嗗竷鐫�鍨傜洿绾歌�屽悜閲岀殑鍖�寮虹鍦猴紝浠庣矑瀛愭簮
鍦ㄧ焊闈㈠唴娌夸笉鍚岀殑鏂瑰悜鍏堝悗鍙戝皠閫熺巼鍧囦负
鐨勮川瀛?/p>
鍜?/p>
锛屼袱涓川瀛愰兘杩?/p>
鐐广�傚凡鐭?/p>
锛岃川瀛?/p>
娌夸笌
鎴?/p>
瑙掔殑鏂瑰悜鍙戝皠锛屼笉璁¤川瀛愮殑閲嶅姏鍜岃川瀛?/p>
闂寸殑鐩镐簰浣滅敤鍔涳紝鍒?/p>
A
锛?/p>
璐ㄥ瓙
鍦ㄧ鍦轰腑杩愬姩鐨勫崐寰勪负
B
锛?/p>
璐ㄥ瓙
鍦ㄧ鍦轰腑鐨勮繍鍔ㄥ懆鏈熶负
C
锛?/p>
璐ㄥ瓙
鍦ㄧ鍦轰腑鐨勮繍鍔ㄦ椂闂翠负
D
锛?/p>
璐ㄥ瓙
鍦ㄧ鍦轰腑鐨勮繍鍔ㄦ椂闂翠负
銆愮瓟妗堛�?/p>
B
銆愯В鏋愩�?/p>
鏍规嵁棰樻剰浣滃嚭绮掑瓙杩愬姩杞ㄨ抗濡傚浘鎵�绀猴細
鐢卞嚑浣曠煡璇嗗彲鐭ワ紝绮掑瓙鍦ㄧ鍦轰腑鍋氬渾鍛ㄨ繍鍔ㄧ殑杞ㄩ亾鍗婂緞锛?/p>
r=
a
锛屾晠
A
閿欒锛涚矑瀛愬湪纾佸満涓仛鍦嗗懆杩愬姩鐨勫懆鏈燂細
锛屾晠
B
姝ｇ‘锛涚敱鍑犱綍鐭ヨ瘑鍙煡锛岃川瀛?/p>
1
鍦ㄧ鍦轰腑杞繃鐨勫渾蹇冭锛?/p>
锛岃川瀛?/p>
1
鍦ㄧ鍦轰腑鐨勮繍
鍔ㄦ椂闂达細
锛屾晠
C
閿欒锛涚敱鍑犱綍鐭ヨ瘑鍙煡锛岃川瀛?/p>
2
鍦ㄧ鍦轰腑杞繃鐨勫渾蹇冭锛?/p>
锛岃川
瀛?/p>
2
鍦ㄧ鍦轰腑鐨勮繍鍔ㄦ椂闂达細
锛屾晠
D
閿欒锛涙晠閫?/p>
B
銆?/p>
2
锛庡鍥炬墍绀猴紝涓夋牴鐩镐簰骞宠鐨勫浐瀹氶暱鐩村绾?/p>
銆?/p>
鍜?/p>
鍨傜洿绾搁潰濡傚浘鏀剧疆锛屼笌鍧愭爣鍘熺偣鍒嗗埆浣嶄簬杈归暱涓?/p>
a
鐨?/p>
姝ｆ柟褰㈢殑鍥涗釜鐐逛笂锛?/p>
涓?/p>
涓殑鐢垫祦鍧囦负
I
锛?/p>
鏂瑰悜鍧囧瀭鐩翠簬绾搁潰鍚戝锛?/p>
涓殑鐢垫祦涓?/p>
2
I
锛?/p>
鏂瑰悜鍨傜洿绾搁潰鍚戦噷
宸?
鐭ョ數娴佷负
I
鐨勯暱鐩村绾夸骇鐢熺殑纾佸満涓紝璺濆绾?/p>
r
澶勭殑纾佹劅搴斿己搴?/p>
鍏朵腑
k
涓哄父鏁?/p>
銆傛煇鏃跺埢鏈変竴璐ㄥ瓙
鐢?/p>
閲忎负
姝ｅソ娌夸笌
x
杞存鏂瑰悜鎴?/p>
鏂滃悜涓婄粡杩囧師鐐?/p>
O
锛岄�熷害澶у皬涓?/p>
v
锛屽垯璐ㄥ瓙姝ゆ椂鎵�鍙楃鍦哄姏涓?/p>
A
锛?/p>
鏂瑰悜鍨傜洿绾搁潰鍚戦噷锛屽ぇ灏忎负
B
锛?/p>
鏂瑰悜鍨傜洿绾搁潰鍚戝锛屽ぇ灏忎负
C
锛?/p>
鏂瑰悜鍨傜洿绾搁潰鍚戦噷锛屽ぇ灏忎负
D
锛?/p>
鏂瑰悜鍨傜洿绾搁潰鍚戝锛屽ぇ灏忎负
銆愮瓟妗堛�?/p>
B
銆愯В鏋愩�?/p>
鏍规嵁瀹夊煿瀹氬垯锛屼綔鍑轰笁鏍瑰绾垮垎鍒湪
O
鐐圭殑纾佸満鏂瑰悜锛屽鍥撅細
鐢遍鎰忕煡锛?/p>
鍦?/p>
O
鐐逛骇鐢熺殑纾佹劅搴斿己搴﹀ぇ灏忎负
锛?/p>
鍦?/p>
O
鐐逛骇鐢熺殑纾佹劅搴斿己搴﹀ぇ灏忎负
锛?/p>
鍦?/p>
O
鐐逛骇鐢熺殑纾佹劅搴斿己搴﹀ぇ灏忎负
锛?/p>
鍏堝皢
姝ｄ氦鍒嗚В锛屽垯娌?/p>
x
杞磋礋鏂瑰悜鐨勫垎閲忎负
锛屽悓鐞嗘部
y
杞磋礋鏂瑰悜鐨勫垎閲忎负
锛?/p>
鏁?/p>
x
杞存柟鍚戠殑鍚堢鎰熷簲寮哄害涓?/p>
锛?/p>
y
杞存柟鍚戠殑鍚堢鎰熷簲寮哄害涓?/p>
锛?/p>
鏁呮渶缁堢殑鍚堢鎰熷簲寮哄害鐨勫ぇ灏忎负
锛屾柟鍚戜负
锛屽垯
锛?/p>
濡傚浘锛?/p>
鏁呮煇鏃跺埢鏈変竴璐ㄥ瓙
鐢甸噺涓?/p>
姝ｅソ娌夸笌
x
杞存鏂瑰悜鎴?/p>
鏂滃悜涓婄粡杩囧師鐐?/p>
O
锛?/p>
鐢卞乏鎵嬪畾鍒欏彲鐭ワ紝
娲涗鸡鍏瑰姏鐨勬柟鍚?/p>
涓哄瀭鐩寸焊闈㈠悜澶栵紝澶у皬涓?/p>
锛屾晠
B
姝ｇ‘锛涙晠閫?/p>
B
銆?/p>
3
锛庡鍥炬墍绀猴紝璐ㄩ噺涓?/p>
M
鐨勭粷缂樿冻澶熼暱鐨勬湪鏉?/p>
Q
鏀剧疆鍦ㄥ厜婊戠殑姘村钩闈笂锛庤川閲忎负
m
鐨勭墿鍧?/p>
P
鍙犳斁鍦?/p>
Q
鐨勫乏
绔紝
PQ
鎵�鍦ㄧ┖闂村瓨鍦ㄧ潃濡傚浘鎵�绀虹殑鍖�寮虹鍦猴紝纾佹劅搴斿己搴﹀ぇ灏忎负
B
锛?/p>
P
甯︽鐢碉紝鐢佃嵎閲忎负
q
锛?/p>
Q
涓嶅甫鐢碉紝
P
銆?/p>
Q
涔嬮棿鐨勫姩鎽╂摝鍥版暟涓?/p>
渭
锛庝竴姘村钩鎭掑姏
F
浣滅敤鍦?/p>
Q
涓婏紝浣?/p>
P
銆?/p>
Q
鐢遍潤姝㈠紑濮嬪悜宸﹁繍鍔紟鍦ㄨ繍鍔ㄧ殑杩囩▼涓紝涓?/p>
鍒楄娉曟纭殑鏄紙
锛?/p>
A
锛?/p>
P
鍜?/p>
Q
涓�璧疯繍鍔ㄦ椂锛?/p>
PQ
闂寸殑鎽╂摝鍔涢�愭笎鍑忓皬
B
锛?/p>
P
鍒氬ソ鑴辩
Q
鏃讹紝
P
鐨勯�熷害澶у皬涓?/p>
2
C
锛?/p>
P
鑴辩
Q
鍚庯紝
Q
鍋氬寑閫熺洿绾胯繍鍔?/p>
D
锛?/p>
P
銆?/p>
Q
鍒氬ソ鍙戠敓鐩稿婊戝姩鏃?/p>
P
鐨勯�熷害澶у皬涓?/p>
锕?
銆愮瓟妗堛�?/p>
D
銆愯В鏋愩�?/p>
P
銆?/p>
Q
鍙戠敓鐩稿婊戝姩鍓嶏紝
P
涓?/p>
Q
鍚戝乏杩愬姩锛?/p>
瀵规暣浣?/p>
F=
锛?/p>
M+m
锛?/p>
a
锛?/p>
涓�璧峰仛鍖�鍔犻�熺洿绾胯繍鍔紝
瀵?/p>
P
锛?/p>
f=m
a
锛?
PQ
闂存懇鎿﹀姏涓嶅彉锛?/p>
鏁?/p>
A
閿欒锛?/p>
褰撶墿浣撳彈鍒扮殑娲涗鸡鍏瑰姏鐨勫ぇ灏忎笌閲嶅姏鐩哥瓑鏃讹紝
鍗?/p>
mg=qvB
锛?/p>
閫熷害杈惧埌
v=
鏃讹紝
P
鍒氬ソ鑴辩
Q
锛屾晠
B
閿欒锛?/p>
P
鑴辩
Q
鍚庯紝
Q
鍦ㄦ按骞虫亽鍔涗綔鐢ㄤ笅鍋氬寑鍔犻�熺洿绾胯繍鍔紝鏁?/p>
C
閿欒锛?/p>
P
銆?/p>
Q
鍒氬ソ鍙戠敓
鐩稿婊戝姩鏃讹紝璁?/p>
P
鐨勯�熷害涓?/p>
v
锛屽垯鏈?/p>
渭
锛?/p>
mg-qvB
锛?/p>
=m
a
锛涘
PQ
锛?/p>
锛?/p>
锛涜仈绔嬭В寰?/p>
v=
-
锛屾晠
D
姝ｇ‘锛涙晠閫?/p>
D
銆?/p>
4
锛庡鍥炬墍绀猴紝绛夎叞鐩磋涓夎褰?/p>
a
bc
鍖哄煙鍐呮湁鍨傜洿绾搁潰鍚戝鐨勫寑寮虹鍦猴紝纾佹劅搴斿己搴︾殑澶у皬涓?/p>
B
锛屽湪
bc
鐨勪腑
鐐?/p>
O
澶勬湁涓�绮掑瓙婧愶紝
鍙部涓?/p>
b
a
骞宠鐨勬柟鍚戝彂灏勯�熺巼涓嶅悓鐨勪袱绉嶇矑瀛愶紝
绮掑瓙甯﹁礋鐢碉紝
璐ㄩ噺涓?/p>
m
锛?/p>
鐢佃嵎閲忎负
q
锛?/p>
宸茬煡杩欎簺绮掑瓙閮借兘浠?/p>
a
b
杈圭寮�
a
bc
鍖哄煙锛?/p>
a
b=2
l
锛屼笉鑰冭檻绮掑瓙鐨勯噸鍔涘強绮掑瓙闂寸殑鐩镐簰浣滅敤锛屽垯杩欎簺绮掑瓙
A
锛?/p>
閫熷害鐨勬渶澶у�间负
B
锛?/p>
閫熷害鐨勬渶灏忓�间负
C
锛?/p>
鍦ㄧ鍦轰腑杩愬姩鐨勬渶鐭椂闂翠负
D
锛?/p>
鍦ㄧ鍦轰腑杩愬姩鐨勬渶闀挎椂闂翠负
銆愮瓟妗堛�?/p>
A
銆愯В鏋愩�?/p>
鑻ラ兘鑳戒粠
a
b
杈瑰嚭鏉ワ紝鍒欑鍚堟潯浠剁殑鏈�澶у崐寰勫簲璇ヤ笌
a
c
闈㈢浉鍒囷紝鏈�灏忓崐寰勫簲璇ユ伆濂借繍鍔ㄥ埌
b
鐐癸紝濡?/p>
鍥炬墍绀?/p>
鐢卞嚑浣曞叧绯诲彲寰楋細
锛?/p>
AB
銆佺矑瀛愬湪纾佸満涓仛鍦嗗懆杩愬姩锛屾礇浼﹀吂鍔涙彁渚涗簡鍚戝績鍔涳紝鐢辩墰椤跨浜屽畾寰嬪彲寰楋細
瑙ｅ緱锛?/p>
锛?/p>
锛屾晠
A
瀵癸紝
B
閿欙紱
C
銆佺矑瀛愬仛鍦嗗懆杩愬姩鐨勫懆鏈熶负
锛岃嫢鍦嗗績瑙?/p>
锛屽垯鍦ㄧ鍦轰腑鐨勮繍鍔ㄦ椂闂翠负
浠庝笂鍥惧彲
浠ョ湅鍑猴紝鏈�灏忕殑鍦嗗績瑙?/p>
锛屾墍浠?/p>
锛屾晠
C
閿欒锛?/p>
D
銆?/p>
鐢卞嚑浣曞叧绯荤煡锛岀矑瀛愯浆杩囩殑鏈�澶у渾蹇冭
锛岀矑瀛愬仛鍦嗗懆杩愬姩鐨勫懆鏈熶负
鎵�浠ョ矑瀛愬湪纾?
鍦轰腑杩愬姩鐨勬渶闀挎椂闂翠负
;
鏁?/p>
D
閿欒锛?/p>
鏁呴�?/p>
A
5
锛庡鍥剧ず锛屽渾褰㈠尯鍩熷唴瀛樺湪鐫�鍨傜洿浜庣焊闈㈠悜澶栫殑鍖�寮虹鍦猴紝姣旇嵎鐩稿悓鐨勪袱涓矑瀛愭部鐩村緞
AB
鏂瑰悜浠?/p>
A
鐐瑰皠鍏?/p>
纾佸満涓紝鍒嗗埆浠庡渾寮т笂鐨?/p>
P
锛?/p>
Q
涓ょ偣灏勫嚭锛屽垯涓嬪垪璇存硶姝ｇ‘鐨勬槸锛?/p>
锛?/p>
A
锛?/p>
涓ょ矑瀛愬垎鍒粠
A
鍒?/p>
P
銆?/p>
Q
缁忓巻鏃堕棿涔嬫瘮涓?/p>
3
鈭?/p>
1
B
锛?/p>
绮掑瓙鍦ㄧ鍦轰腑鍋氬寑閫熷渾鍛ㄨ繍鍔ㄥ懆鏈熶箣姣斾负
1
鈭?/p>
1