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Ⅰ. 阅读理解In most developed countries the government providesfree education for children because it realizes that educatedcitizens are useful to the country in their later life. Mostcountries also have private education. This means that parents can payto send their children to certain schools. People who agree with thissystem say that it gives parents a larger choice of schools. Other peoplethink that private schools give the children who go to them an unfairadvantage over other children.

Ⅰ. 阅读理解Most of the sandstorms that had swept China last year came fromforeign land, a Chinese official in charge of desertification control said onMonday. And the invasions( 入 侵 )could partly explain the frequentsandstorms in the country in recent years despite its achievementsin desertification control.

Ⅰ. 单句改错1. Either my teacher or my classmates is coming. ( )2. The boy, as well as his sisters, want to go there. ( )3. What he chiefly wished for were a chance to go to university.( )4. Each of these books cost five yuan. ( )5. Five minutes aren’t enough to finish this test. ( )6. The number of the unemployed are still increasing. ( )7. A steel works have just been built there. ( )8. His family is waiting for him. ( )9. Every possible means have been used to work out the problem.( )

Ⅰ. 用 although/but/however/while 填空1. John is more hard-working than his sister, ________ he failed in theexam.2. ____________ he is an experienced dancer, he still needs a lot ofluck in performing.3. There is not much time left. ____________ , we must get there ontime anyway.4. She went out, ____________ I stayed at home.5. She was tired, ____________ she still went on working.6. You will be lucky if you can go into the exhibition for a visit without aticket. ____________ , this does not always happen.7. You like playing tennis, ____________ I like reading.

Ⅰ. 单句改错1. People often talk about Hangzhou, that is famous for the West Lake.2. He reached London in 1996, when, some time later, he became afamous actor.3. I have never been to Dalian, where is said to be an attractive city.4. The sun gives off light and warmth, who makes it possible for plants togrow.5. In an open boat, there were four men, one of who was a doctor.

专题七 不等式 第二十一讲 不等式的综合应用 2019 年 1.（ 2019 天津理 13 ）设 0, 0, 2 5x y x y    ，则 ( 1)(2 1)xy xy 的最小值 为

专题十五 坐标系与参数方程 第四十一讲 坐标系与参数方程 2019 年 1..（2019 全国 I 理 22）[选修 4—4：坐标系与参数方程] 在直角坐标系 xOy 中，曲线 C 的参数方程为 2 2

专题十一 概率与统计 第三十二讲 统计初步 2019 年 1 （2019 全国 II 理 5）演讲比赛共有 9 位评委分别给出某选手的原始评分，评定该选手的 成绩时，从 9 个原始评分中去掉 1 个最高分、1

专题九 解析几何 第二十六讲 椭圆 2019 年 1．（2019 全国 I 理 10）已知椭圆 C 的焦点为 121,0 1,0FF()，()，过 F2 的直线与 C 交于 A， B 两点．若 22|

专题十一 算法初步 第三十一讲 算法与程序框图的理解与应用 2019 年 1.（2019 全国 1 文 9）如图是求 1 12 12 2   的程序框图，图中空白框中应填入 A．A= 1 2 A

专题八 立体几何 第二十四讲 空间向量与立体几何 2019 年 1.（2019 全国Ⅰ理 18）如图，直四棱柱 ABCD–A1B1C1D1 的底面是菱形，AA1=4，AB=2，∠ BAD=60°，E，M，N

专题十一 概率与统计 第三十四讲 古典概型与几何概型 2019 年 1.（2019 全国 I 理 6）我国古代典籍《周易》用“卦”描述万物的变化．每一“重卦”由从 下到上排列的 6 个爻组成，爻分为阳爻“——”和阴爻“—

专题十一 概率与统计 第三十六讲二项分布及其应用、正态分布 一、选择题 1．（2015 湖北）设 2 11(,)XN， 2 22(,)YN，这两个正态分布密度曲线如图所 示．下列结论中正确的是

As is known to us all, baths and bathing have long beenconsidered of medical importance to man. In Greece thereare the ruins of a water system for baths built over 3, 000years ago. The Romans had warm public baths. In some baths,as many 3, 000 persons could bathe at the same time.

专题六数列 第十七讲 递推数列与数列求和 2019 年 1. （ 2019 天 津 理 19 ）设 na 是 等 差 数 列 ，  nb 是等比数列. 已知 1 1 2 2 3 34, 6 2

专题十六 不等式选讲 第四十二讲 不等式选讲 2019 年 1.（2019 全国 I 理 23）[选修 4—5：不等式选讲]（10 分） 已知 a，b，c 为正数，且满足 abc=1．证明： （1） 2

专题五 平面向量 第十四讲 向量的应用 2019 年 1.（2019 江苏 12）如图，在 ABC△ 中，D 是 BC 的中点，E 在边 AB 上，BE=2EA，AD 与 CE 交于点O.若 6AB AC

专题九 解析几何 第二十七讲 双曲线 2019 年 1.（2019 全国 III 理 10）双曲线 C： 22 42 xy =1 的右焦点为 F，点 P 在 C 的一条渐进线 上，O 为坐标原点，若

专题九 解析几何第二十五讲 直线与圆 2019 年 1.（2019 北京理 3）已知直线 l 的参数方程为 x = 1+ 3t y = 2 + 4t ì í î （t 为参数），则点（1，0） 到直线

专题十三 推理与证明 第三十八讲 推理与证明 2019 年 2019 年 8.（2019 全国 I 理 4）古希腊时期，人们认为最美人体的头顶至肚脐的长度与肚脐至足底 的长度之比是 51 2  （ 51