题干

如图.D为等边△ABC的边AC上一动点.延长AB到E.使BE=CD,连DE交BC于P.求证:DP=PE.

上一题 下一题 0.0难度 选择题 更新时间:2014-07-02 06:49:01

答案(点此获取答案解析)

证明:作DM∥AB交BC于M,

∵△ABC是等边三角形,

∴∠C=∠A=∠ABC=60°,

∵DM∥AB,

∴∠CDM=∠A=60°,

∴△CDM是等边三角形,

∴CD=DM,

∵BE=CD,

∴BE=DM,

∵DM∥AB,

∴∠E=∠MDP,∠EBP=∠DMP,

在△DPM与△EPB中,

同类题3

阅读下文,完成下列小题。

那年大雪

    那年雪好大,鹅毛片片飞。

    梁子回来了。穿着皮夹克,披着黄大衣,足蹬大马靴,威武得像个军官。梁子在城里做生意,没几年的光景就发了,是我们这一带穷山沟的名人。狗儿、海子和我的母亲提前几天就托人给梁子捎了话,希望他这次回来,能把我们带出去,跟着他见见世面,挣不挣钱无关紧要。

    梁子见到我,先一愣,后大笑,拍着我刚剃的光头说:“好小子,哥就需要你这样的人。”

    海子也在院内。海子手里牵着一只小绵羊,雪白的毛,弯弯的角,很温顺地低着头。狗儿说:“梁子哥,中午咱们杀羊吃。”

    围观的人都齐声叫好,落雪的小院儿顿时沸腾起来。说到杀羊,在咱村里真是少见。我们地处汉江河畔,水美草肥,家家养羊,可自家很少吃,大都卖给羊贩子。要想很利索地杀死一只羊,还真是件棘手的事。

    为了表现自己,海子先动起了手。他把羊往树上一拴,从灶房拿出一把菜刀就向羊奔来。海子向左,羊角向左,海子向右,羊角向右。几个来回后,小绵羊奋力一击,反把海子掀了个仰八叉,引来大伙儿一阵哄笑。

    “山子上。”梁子点了我的名,我的脸就莫名其妙地发烧起来。我靠近小绵羊,小绵羊“咩咩”地叫了两声。它可是认识我的,同在一个村里生活,它吃草我吃饭,抬头不见低头见。前天我还扯过红薯藤给它吃呢。

    我瞅它不备,弯下腰,伸出右臂,一下子搂着了小绵羊的头,准备朝小绵羊的咽喉切下。这时,我看到了小绵羊的眼睛里有了泪,晶莹剔透,顺着眼角流了下来。霎时,我心里一紧,“扑通”一声,手里的刀和羊一起落到了地上。

    最后,梁子出手了。梁子笑眯眯地骂我们都是笨蛋。这羊表面上看起来很温柔,其实骨子里倔犟着呢。梁子从屋里取出一棵大白菜。绿的叶,白的帮,极鲜嫩。梁子将白菜递到小绵羊的嘴边,小绵羊几经折腾,瞪着惊恐的双眼,不闻,不吃。

    “别怕,别怕,我不会杀你的。”梁子乐呵呵地蹲下来,像对一位老朋友那么亲热。小绵羊看看梁子手里没有刀,眼神稍稍松懈了一下。梁子以手为梳,给小绵羊搔起痒痒来,那动作极温顺。小绵羊可能被感动了,饱含在眼眶的一窝泪水,扯成线流了下来。

    小绵羊开始吃起白菜,并将身躯靠近了梁子。大伙儿也以为梁子不再杀羊了,打着哈哈准备离去。就在这时,只见梁子猛地一咬牙,飞快从袖简里抽出一柄匕首来,从小绵羊的颈部扎了进去,手腕一翻,利刃直捣颈骨,然后顺势向下一划拉……小绵羊和我们还没明白怎么回事,只见一股鲜血喷涌而出,羊的气管已被生生切断。小绵羊扑倒在地,一双翻白的眼睛瞪着梁子,嘴里还噙着一片白菜。

    围观的人们也是一阵惊叫。梁子站起来,擦了擦带血的匕首,自得地说,准备剥皮起锅了。

    那一晚的羊肉,我至今回忆不起是个什么味道。

    第二天,雪依然下,大地一片耀眼的白。梁子走了,是一个人。苍茫的雪地上留下了一串孤独的脚窝。

(选自《第四届小小说金麻雀奖获奖作品》,有改动)

同类题5

阅读理解

    When the weather is good, most children would like to play outside. So we asked some kids and their parents whether the following toys kept them happy.

All Surface Swingball, $35.99

    Played by Martin, nine, and five-year-old Alex in Crewe, Cheshire.

Mother Jennifer says, “The boys thought the toy was excellent and really wanted to play with it. It can be played with alone or with another child. It's for the right age range but I believe the toy can be played with by all ages and is suitable for the whole family.”
Rubberwood Quoits Set, $13.99

    Played by Jessica, four.

    Mother Lucy Hayburst, 37, in Chichester, West Sussex, says, “Jessica played with this toy for a few minutes but quickly stopped playing with it. Since we bought this toy for her, she only played several times. The quality is very good. It can be played with by one child or more. Besides, I believe it's more suitable for older kids.”

Wooden Animal Skittles, $14.99

    Played by Matthew, two.

    Father Richard Lee, 36, from Dartford, Kent, says, “Matthew was very interested in the toys and liked to play with them, but that only lasted for around five minutes. The skittles were fun at first but that feeling soon disappeared. Two or more children can play with the toy together. And I think they are most suitable for kids aged between three and seven. Our youngest son, Ethan, just kept trying to eat the lion's head.”

First Tailball Net Set, $22

    Played by James, five.

    Mother Sarah Schwar, 39, from Grays, Essex, says, “James loved the toy.” He enjoyed balls so it was perfect for him We used it in the summer as it was easy to take on trips It is suitable for kids over five years old I think the price is fair and your children deserve it.”