题干

已知椭圆 C:
x
2
a
2
+
y
2
b
2
=1(
a>b>0)
经过点 P(1,
2
2
)
,且两焦点与短轴的一个端点的连线构成等腰直角三角形.
( 1 )求椭圆的方程.
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答案(点此获取答案解析)

解:∵椭圆 C : x2a2+<

同类题2

阅读以下材料,说说以下化学探究活动是由哪些环节组成的,将其分别填在相应的括号内.

燃烧是我们经常接触到的一种化学变化.它与我们的生活密切相关.燃烧为人类带来了光明,如果失控也会给人类带来灾难.因此,人类必须了解物质为什么会燃烧,才能控制燃烧,使其更好地造福于人类.

小童想:物质燃烧需要哪些条件?(____ )

(1)可能需要一种可以燃烧的物质;

(2)可能需要一定的温度;

(3)可能需要氧气.(____ )

小童设计了实验方案:

实验1:用镊子分别夹取一小木条和小石子,将它们分别放在酒精灯外焰上加热,观察实验现象.

实验2:用镊子分别夹取一小纸片、小木条、小煤块,分别在酒精灯上点燃,观察实验现象,比较三者点燃的难易程度.

实验3:在桌面上点燃两支蜡烛,在一支蜡烛上方罩上250mL烧杯,观察实验现象.(____ )

小童对实验现象进行了记录和分析:


实验现象

得出的结论

 实验1

小木条燃烧了,小石子不燃烧.

燃烧需要可燃物

 实验2

小纸片最易燃烧,小木条次之,小煤块最难燃烧.

燃烧需要达到可燃物燃烧所需的温度.

 实验3

 桌面上的蜡烛正常燃烧,罩上烧杯的蜡烛燃烧一会儿就熄灭.

 燃烧需要氧气.

小童归纳总结,得出燃烧的条件:可燃物;温度;氧气.(____ )

小童觉得,通过这次探究活动,知道了燃烧的条件,能解释钻木取火、森林灭火等现象和原理,并且体验了像科学家一般探究学习的乐趣.(____ ).

同类题4

阅读理解

    While your pet fish may appear to be unaware of your presence, chances are that it knows you extremely well and can probably even identify you from a crowd of human faces!

    To test if this was accurate, some scientists decided to study archerfish(喷水鱼). These animals don't have a sophisticated(复杂的)brain that is necessary to recognize the slight differences between human facial features.

    They began by presenting four archerfish with images of two human faces. Initially, the fish spit at both. However, they soon learned spitting water at the one selected by the researchers earned them a food treat. After that, they focused primarily on that image. The researchers then took the experiment one step further by introducing 44 other human faces to the mix.

    To the researcher's astonishment, the trained archerfish were able to recall the learned image almost 81% of the time. And this accuracy improved to 86% when the researchers made the identification even harder, by replacing the colored photos with a set of black and white images and hiding the shape of the head.

    The results of the study suggest that though having tiny brains, archerfish may have developed high visual discrimination abilities. While it is contrary to the previous theory that a sophisticated brain is necessary to recognize human faces, the researchers believe they do not recognize faces by recalling complex facial information like gender and identity, but more likely by discriminating between detailed  patterns. Even so, the fact that these archerfish could “remember” those faces demonstrates that they have an impressive memory for details that lasts much longer than the originally-thought 3 seconds!

    This is not the first time researchers have realized how “smart” fish are. Previous studies have shown that fish can recognize those fish they have “socialized” with previously, and even recall complex three-dimensional maps of their surroundings.