题干

先化简,在求值:
a
2
a
2
1
÷(
1
a
1
1
)
,其中a=3.
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答案(点此获取答案解析)

解: a2a21÷(1a

同类题2

    Some people bring out the best in you in a way that you might never have fully realized on your own. My mom was one of those people.
My father died when I was nine months old. Mom and I lived a very hard life. We had little money, but my mom gave me a lot of love. Each night, she spoke the words that would change my life, “Kemmons, you are certain to be a great man and you can do anything in life if you work hard enough to get it.”
    At fourteen, I was hit by a car and the doctors said I would never walk again. Every day, my mother spoke to me in her gentle, loving voice, telling me that I could walk again if I wanted strongly enough. She drove that message so deep into my heart that I finally believed her. A year later, I returned to school — walking on my own!
    When the Great Depression (大萧条) hit, my mom lost her job. Then I left school to support  both of us. At that moment, I decided never to be poor again.
    Over the years, I experienced various levels of business success. But the real turning point happened on a vacation I took with my wife and five kids in 1951. I wasn't satisfied with the second-class hotels available for families and was angry that they asked me an extra $2 for each child. That was too expensive for many American families. I told my wife that I was going to open a motel (汽车旅馆) for families that would never ask extra for children. There were plenty of doubters at that time.
    Of course mom was one of my strongest supporters. She worked behind the desk and even designed the room style. But with my mother’s support and encouragement, I never doubted we would succeed. Fifteen years later, we had the largest hotel system in the world — Holiday Inn. In 1979 my company had 1,759 inns in more than fifty countries with an income (收入) of $ 1 billion a year.
    You may not have started out life in the best situation. But if you can find a task in life worth working for and believe in yourself, nothing can stop you.

同类题3

阅读选文,完成下列小题。

永恒之莲——长生草

    ①长生草是多肉植物中的一种,在分类学上属于景天科,长生草属。它曾是被忽略的草根阶层,给人摆不上台面的印象。但是,现在它的魅力越来越大,形象越发高大上,已然成为美化环境的生力军。

    ②长生草的形态特征与它的生存环境密不可分。长生草原本生活在欧洲中南部的高山上,那里到处都是贫瘠的碎石,山高风大。在这种恶劣的生存环境中,它的叶片肥厚多汁,储存了宝贵的水和营养。叶片轮生,每株8到18枚,排列紧密。整个花株的形态与盛开的莲花相似。它的花是是粉色系、呈星形。它通常侧芽繁殖,有的也通过叶心分裂繁殖。欧洲人见到这种花朵一样的植物冬天也不凋落,而且繁殖得越来越多,认为它可以永生。于是取名长生草。

    ③长生草的进化历史要从一百多年前说起。那时欧洲百姓开始把长生草从野外带回家园,用它来美化环境。他们将长生草从石缝中拔下来,粗暴地扔到屋顶上,顽强的长生草就把根扎在在瓦片间,长出一座空中花园。后来园艺家们也关注到这种神奇植物,通过近百年的杂交培育,目前已有400多个园艺品种。除蓝色之外,彩虹中的其他颜色都能在长生草中见到,长生草的家族可谓异彩纷呈!中国早就引进了长生草,但仅限于极少的几个品种。近两年,更多的多肉玩家赴欧洲考察,拍回长生草的各种照片,于是长生草圈粉无数,各种新鲜的园艺品种漂洋过海来到中国,走进寻常百姓家。

    ④那么如何养好长生草?

    ⑤长生草在野外是生长在石缝中的,所以它的根喜欢透气。栽培时最好用泥炭、椰土、珍珠岩、剩的蜂窝煤烧碎渣等充分混合的土,这样的土透气透水。南方潮湿,所以大颗粒的比例要多一点;北方干燥,则小颗粒的比例要多一点。

    ⑥长生草的家乡没有大树遮阳,它只能全天暴露在阳光下,又饱受寒风阵阵。家庭栽培时,春季秋冬这三个季节最好把花盆放在有阳光的窗台上,保证长时间日照。在这样的环境中,长生草会呈现出最美的颜色。夏季高温高湿,对长生草是个考验。这个季节要避免它晒到直射阳光,但又不能太暗,需要明亮的散射光。还要少浇水,因为空气湿润,土壤很热,过多的水会把植物闷死。可在凉爽的夜间稍微浇点水。如果长生草是超级大群生长的,就很难在特别潮湿的环境里生长,那么最好忍痛分株,否则容易腐烂。

    ⑦长生草容易染上“根粉蚧”(一种吸食根部汁液的白色小虫),可以用蚧必治、速扑杀或呋喃丹等药物灌根,但这几种药都属于高毒性农药,最好不要轻易使用。最安全的是整盆土倒掉,清洗根部后,将它植入新土中。

    ⑧造景时可以将长生草群植在一起,形成“百花齐放”的壮观美景;也可以利用长生草侧芽繁殖的特点,打造长生草“瀑布”;还可以把它种在墙缝里、砖块间,欣赏它原生的味道。

    ⑨长生草,是欧洲的老明星,中国的小新贵。永恒之莲,魅力无限。

(选自《博物》,有删改)