鍖楀笀澶х増
2014----2015
瀛﹀勾搴︿笂瀛︽湡鍏勾绾ф暟瀛︾涓�绔犳祴璇曢
涓�銆佸崟閫夐
1
銆佸鍥撅紝鍥涜竟褰?/p>
ABCD
涓烘褰紝
AD
鈭?/p>
BC
锛屸垹
ABC=30
掳锛屸垹
BCD=60
掳锛?/p>
AD=4
锛?/p>
AB=3
3
锛屽垯涓?/p>
搴?/p>
BC
鐨勯暱涓猴紙
锛?/p>
A
锛?/p>
6 B
锛?/p>
8 C
锛?/p>
10 D
锛?/p>
12
2
銆佸皢涓�鍓洿瑙掍笁瑙掓澘锛屾寜濡傚浘鎵�绀哄彔鏀惧湪涓�璧凤紝鍒欏浘涓垹
伪
鐨勫害鏁版槸锛?/p>
锛?/p>
A
锛?/p>
45
掳
B
锛?/p>
60
掳
C
锛?/p>
75
掳
D
锛?/p>
90
掳
3
銆佸鍥炬墍绀猴紝宸茬煡鍦ㄤ笁瑙掑舰绾哥墖
ABC
涓紝
BC=3
锛?/p>
AB=6
锛屸垹
BCA=90
掳锛庡湪
AC
涓婂彇涓�鐐?/p>
E
锛屼互
BE
涓烘姌鐥曪紝浣?/p>
AB
鐨勪竴閮ㄥ垎涓?/p>
BC
閲嶅悎锛?/p>
A
涓?/p>
BC
寤堕暱绾夸笂鐨勭偣
D
閲嶅悎锛屽垯
DE
鐨勯暱搴︿负
锛?/p>
锛?/p>
A
锛?/p>
6 B
锛?/p>
3 C
锛?/p>
3
2
D
锛?/p>
3
4
銆佸皢涓�涓湁
45
掳瑙掔殑涓夎鏉跨殑鐩磋椤剁偣鏀惧湪涓�寮犲涓?/p>
3cm
鐨勭焊甯﹁竟娌夸笂锛庡彟涓�涓《鐐瑰湪绾?/p>
甯︾殑鍙︿竴杈规部涓婏紝娴嬪緱涓夎鏉跨殑涓�杈逛笌绾稿甫鐨勪竴杈规墍鍦ㄧ殑鐩寸嚎鎴?/p>
30
掳瑙掞紝濡傚浘锛屽垯涓夎鏉?/p>
鐨勬渶澶ц竟鐨勯暱涓猴紙
锛?/p>
A
锛?/p>
3cm B
锛?/p>
6cm C
锛?/p>
2
3
cm D
锛?/p>
2
6
cm
5
銆佺帇鑻卞湪鑽峰杈硅鐪嬭嵎鑺憋紝绐佺劧鎯虫祴璇曟睜濉樼殑姘存繁锛屽ス鎶婁竴鏍珫鐩寸殑鑽?/p>
鑺憋紙濡傚浘锛夋媺鍒板哺杈癸紝鑺辨焺姝ｅソ涓庢按闈㈡垚
60
掳澶硅锛屾祴寰?/p>
AB
闀?/p>
60cm
锛?/p>
鍒欒嵎鑺卞姘存繁
OA
涓猴紙
锛?/p>
A
锛?/p>
120cm B
锛?/p>
60
3
cm C
锛?/p>
60cm D
锛?/p>
20
3
cm
6
銆佺洿瑙掍笁瑙掑舰鐨勬枩杈归暱涓?/p>
10
锛屼竴鐩磋杈归暱鏄彟涓�鐩磋杈归暱鐨?/p>
3
鍊嶏紝鍒欑洿瑙掍笁瑙掑舰鐨勯潰绉负
锛?/p>
锛?/p>
A
锛?/p>
12 B
锛?/p>
13 C
锛?/p>
14 D
锛?/p>
15
7
銆佸鍥撅紝涓�妫垫爲鍦ㄤ竴娆″己鍙伴涓紝浠庣鍦伴潰
5 m
澶勬姌鏂紝鍊掍笅
鐨勯儴鍒嗕笌鍦伴潰鎴?/p>
30
掳瑙掞紝濡傚浘鎵�绀猴紝杩欐５鏍戝湪鎶樻柇鍓嶇殑楂樺害鏄?/p>
锛?/p>
锛?/p>
A
锛?/p>
10m B
锛?/p>
15m C
锛?/p>
5m D
锛?/p>
20m
8
銆佸湪鐩磋涓夎褰?/p>
ABC
涓紝鏂滆竟
AB=1
锛屽垯
AB
2
+BC
2
+CA
2
鐨勫�兼槸锛?/p>
锛?/p>
A
锛?/p>
2 B
锛?/p>
4 C
锛?/p>
6 D
锛?/p>
8
9
銆佲柍ABC
涓紝
AB
锛?/p>
15
锛?/p>
AC
锛?/p>
13
锛岄珮
AD
锛?/p>
12
锛屽垯鈻矨BC
鐨勫懆闀夸负锛?/p>
锛?/p>
A
锛?/p>
42 B
锛?/p>
32 C
锛?/p>
42
鎴?/p>
32 D
锛?/p>
37
鎴?/p>
33
10
銆佹弧瓒充笅鍒楁潯浠剁殑鈻矨BC锛屼笉鏄洿瑙掍笁瑙掑舰鐨勬槸
( ) A
锛?/p>
b
2
=c
2
锛?/p>
a
2
B
锛巃鈭禸鈭禼=3鈭?鈭?
C
锛庘垹C=鈭燗锛嶁垹B
D
锛庘垹A鈭垛垹B鈭垛垹C=12鈭?3鈭?5
11
銆佸皢涓�涓湁
45
搴﹁鐨勪笁瑙掓澘鐨勭洿瑙掗《鐐规斁鍦ㄤ竴寮犲涓?/p>
3
cm
鐨勭焊
甯﹁竟娌夸笂锛屽彟涓�涓《鐐瑰湪绾稿甫鐨勫彟涓�杈规部涓婏紝娴嬪緱涓夎鏉跨殑涓�杈逛笌
绾稿甫鐨勪竴杈规墍鍦ㄧ殑鐩寸嚎鎴?/p>
30
搴﹁锛屽鍥炬墍绀猴紝鍒欎笁瑙掓澘鐨勬渶澶ц竟
鐨勯暱涓猴紙
锛?/p>
A
锛?/p>
3 cm B
锛?/p>
6 cm C
锛?/p>
cm D
锛?/p>
cm
12
銆佸鍥炬墍绀猴紝涓�鍙皬铓傝殎浠庢１闀夸负
1
鐨勬鏂逛綋鐨勯《鐐?/p>
A
鍑哄彂锛岀粡
杩囨瘡涓潰鐨勪腑蹇冪偣鍚庯紝鍙堝洖鍒?/p>
A
鐐癸紝铓傝殎鐖鏈�鐭▼
S
婊¤冻锛?/p>
锛?/p>
A
锛?/p>
5
锛?/p>
S
鈮?/p>
6 B
锛?/p>
6
锛?/p>
S
鈮?/p>
7 C
锛?/p>
7
锛?/p>
S
鈮?/p>
8 D
锛?/p>
8
锛?/p>
S
鈮?/p>
9
13
銆佸鍥撅紝宸茬煡鈻?/p>
AOB
鏄涓夎褰紝
OC
鈯?/p>
OB
锛?/p>
OC=OB
锛屽皢鈻?/p>
OAB
缁曠偣
O
鎸夐�嗘椂閽堟柟鍚戞棆杞紝浣垮緱
OA
涓?/p>
OC
閲嶅悎锛屽緱鍒扳柍
OCD
锛屽垯鏃嬭浆鐨勮搴?/p>
鏄紙
锛?/p>
A
锛?/p>
150
掳
B
锛?/p>
120
掳
C
锛?/p>
90
掳
D
锛?/p>
60
掳