26.(1)设反比例函数为.·················· (1分)
则,··················· (3分)
.····························· (4分)
(2)设鲜花方阵的长为米,则宽为米,由题意得:
.························· (5分)
即:,
解得:或,满足题意.
此时火炬的坐标为或.················ (7分)
(3),在中,
.··················· (10分)
当时,最小,
此时,又,,,
,且.
.···························· (12分)
25.解:(1)36;----------2分(2)秒;-----------4分
(3)当三点构成直角三角形时,有两种情况:
①当时,设点离开点秒,
作于,.
,,.
当时,点离开点秒.-----------8分
②当时,设点离开点秒,
,.
.
...
当时,点离开点秒.-----------11分
由①②知,当三点构成直角三角形时,点离开点秒或秒-----------12分
24.(本题满分10分)
解:(1)根据题意,得,
即.-----------4分
(2)由题意,得.
整理,得.---------------------7分
解这个方程,得.-------------------9分
要使百姓得到实惠,取.所以,每台冰箱应降价200元.-------10分
23. (本题满分12分)
解:(1)在函数的图象上
.
反比例函数的解析式为:.····················· 2分
点在函数的图象上------- 2分
经过,,
解之得
一次函数的解析式为:·················· 5分
(2)是直线与轴的交点
当时,点················· 6分
···································· 8分
(3)····························· 10分
(4)·························· 12分
21.解:(1)由题意可列表:
|
1 |
2 |
4 |
2 |
(1,2) |
(2,2) |
(4,2) |
4 |
(1,4) |
(2,4) |
(4,4) |
5 |
(1,5) |
(2,5) |
(4,5) |
∴两张卡片上的数字恰好相同的概率是.………………………(4分)
(2)由题意可列表:
|
1 |
2 |
4 |
2 |
12 |
22 |
42 |
4 |
14 |
24 |
44 |
5 |
15 |
25 |
45 |
∴两张卡片组成的两位数能被3整除的概率是………………(8分)
(画树状图略)
21.解:过点作,是垂足,
则,,············ 3分
,,
,·················· 5分
,
,················· 8分
,
答:森林保护区的中心与直线的距离大于保护区的半径,所以计划修筑的这条高速公路不会穿越保护区. 10分
20.解:(1),
,·························· 3分
无论取何值,,所以,即,
方程有两个不相等的实数根.·················· 6分
(2)设的另一个根为,
则,,·························· 8分
解得:,,
的另一个根为,的值为1.·················· 10分
19.解:(1)作图见答案19题图,
···················· 2分
(2)是等边三角形,是的中点,
平分(三线合一),
.····························· 4分
,
.
又,
.······························· 7分
又,
,,
.又,
.································ 10分
18.(本题满分9分)
解:,
,
.······ 2分
,
即.
解得.······························· 5分
同样由可求得.·················· 8分
所以,小明的身影变短了3.5米.······················· 9分
17.解:原式=+1--························ 6分
= 4.5······························ 7分
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