题干

阅读下列材料并回答问题:

材料1:如果一个三角形的三边长分别为a,b,c,记 p=

a
+
b
+
c
2
,那么三角形的面积为 S=p(pa)(pb)(pc) .    ①

古希腊几何学家海伦(Heron,约公元50年),在数学史上以解决几何测量问题而闻名.他在《度量》一书中,给出了公式①和它的证明,这一公式称海伦公式.

我国南宋数学家秦九韶(约1202﹣﹣约1261),曾提出利用三角形的三边求面积的秦九韶公式: S=

1
4
[a2b2(
a
2
+
b
2
c
2
2
)
2
]
. ②

下面我们对公式②进行变形:

1
4
[a2b2(
a
2
+
b
2
c
2
2
)
2
]
=(
1
2
ab
)
2
(
a
2
+
b
2
c
2
4
)
2
= (
1
2
ab+
a
2
+
b
2
c
2
4
)
(
1
2
ab
a
2
+
b
2
c
2
4
)
= = = = p(pa)(pb)(pc)

这说明海伦公式与秦九韶公式实质上是同一公式,所以我们也称①为海伦﹣﹣秦九韶公式.

问题:如图,在△ABC中,AB=13,BC=12,AC=7,⊙O内切于△ABC,切点分别是D、E、F.

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沙漠中有一种鼠,白天躲在洞里并且将洞口堵住,夜间才出来活动.下列叙述中能正确解释这种现象的是(    )

同类题2

阅读文言文,回答问题

小石潭记

    从小丘西行百二十步,隔篁竹,闻水声,如鸣珮环,心乐之。伐竹取道,下见小潭,水尤清冽。全石以为底,近岸,卷石底以出,为坻,为屿,为嵁,为岩。青树翠蔓,蒙络摇缀,参差披拂。

    潭中鱼可百许头,皆若空游无所依,日光下澈,影布石上。佁然不动,俶尔远逝,往来翕忽。似与游者相乐。

    潭西南而望,斗折蛇行,明灭可见。其岸势犬牙差互,不可知其源。

    坐潭上,四面竹树环合,寂寥无人,凄神寒骨,悄怆幽邃。以其境过清,不可久居,乃记之而去。

    同游者:吴武陵,龚古,余弟宗玄。隶而从者,崔氏二小生:曰恕己,曰奉壹。

同类题3

阅读理解

    Their cheery song brightens many a winter's day. But robins are in danger of wearing themselves out by singing too much. Robins are singing all night一as well as during the day, British-based researchers say.

    David Dominoni, of Glasgow University, said that light from street lamps, takeaway signs and homes is affecting the birds' biological clocks, leading to them being wide awake when they should be asleep.

    Dr Dominoni, who is putting cameras inside nesting boxes to track sleeping patterns, said lack of sleep could put the birds' health at risk. His study shows that when robins are exposed to light at night in the lab, it leads to some genes being active at the wrong time of day. And the more birds are exposed to light, the more active they are at night.

    He told people at a conference, "There have been a couple of studies suggesting they are increasing their song output at night and during the day they are still singing. Singing is a costly behaviour and it takes energy. So by increasing their song output, there might be some costs of energy."

    And it is not just robins that are being kept awake by artificial light. Blackbirds and seagulls are also being more nocturnal. Dr Dominoni said, "In Glasgow where I live, gulls are a serious problem. I have people coming to me saying `You are the bird expert. Can you help us kill these gulls?'.During the breeding(繁殖)season, between April and June, they are very active at night and very noisy and people can't sleep."

    Although Dr Dominoni has only studied light pollution, other research concluded that robins living in noisy cities have started to sing at night to make themselves heard over loud noise.

    However, some birds thrive(兴旺)in noisy environments. A study from California Polytechnic University found more hummingbirds in areas with heavy industrial machinery. It is thought that they are capitalising on their predators(天敌)fleeing to quieter areas.

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九年级某班从A、B、C、D四位同学中选出两名同学去参加学校的羽毛球双打比赛.

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如图,几何体是由底面圆心在同一条直线上的三个圆柱构成的,其俯视图是(  )

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