六、作文60分
文题:一在沸腾的日子里 二谈青年时代(二题任选其一)
1977年高考数学试卷
一
二、过抛物线y2=4x的焦点作倾斜角为3/4π的直线 , 它与抛物线交于A、B两点 。求A、B两点间的距离 。
三、在直角三角形ABC中,∠ACB=90° , CD、CE分别为斜边AB上的高和中线(见第三题图) , 且∠BCD与∠ACD之比为3:1 。求证 CD=DE 。
四、在周长为300厘米的圆周上有甲、乙两球,以大小不等的速度作为匀速圆周运动,甲球从A点出发按逆时针方向运动,乙球从B点出发按顺时针方向运动,两球相遇于C点 。相遇后,两球各自反向作匀速圆周运动,但这时甲球速度的大小是原来的2倍,乙球速度的大小是原来的一半,以后它们第二次相遇于D点 。已知AmC=40厘米 , BnD=20厘米(见第四题图) 。求ACB的长度 。
【1977年恢复高考的感想 1977年恢复高考】五、1.若三角形三内角成等差数列 , 求证必有一内角为60°;
2.若三角形三内角成等差数列,而且三边又成等比数列,求证三角形三内角都是60° 。
六、在两条平行的直线AB和CD上分别取定一点M和N;在直线AB上取一定线段ME=a;在线段MN上取一点K,连结EK并延长,交CD于F(见第六题图) 。试问K取在哪里△EMK与△FNK的面积之和为最?。孔钚≈凳嵌嗌伲?
附加题(附加题可做可不做,分数另行计算 。)
1977年高考英语试卷
一、写出下列单词的变化形式(每空1分)
1.hero (名词复数)
2.enemy (名词复数)
3.railway (名词复数)
4.life (名词复数)
5.sheep (名词复数)
6.woman (名词复数)
7.stop (过去式) (过去分词) (现在分词)
8.die (过去式) (过去分词) (现在分词)
9.hurry (过去式) (过去分词) (现在分词)
10.rise (过去式) (过去分词) (现在分词)
11.win (过去式) (过去分词) (现在分词)
12.catch (过去式) (过去分词) (现在分词)
二、用英语回答下列问题(每题2分)
1.Are you a student?
2.How many people are there in your family?
3.Where were you born?
4.How old were you when you started to go to school?
5.How long have you been studying English?
6.You like to study English,don’t you?
7.What subjects did you study at middle school?
8.What did you do after you finished middle school?
三、用所给动词的适当形式填空(每空1分)
1.As soon as our Party secretary (come) back from Tachai next week,we (begin)to build a reservoir.
2.When the teacher (come)into the classroom,the pupils (leave). Only Li Ping still there. He (repair) a broken chair. He (tell) the teacher that he (be) through in a few minutes.
3.What (be) you (do) here?
I (write) a letter to my brother.
I (not hear) from him for a long time.
4.My father (not work) in Peking. He is in Taching. He (be) there for ten years. He often (write) to us and (tell) us about his work and life there.
四、按句子所给的汉语内容,用英语完成下列各句(每题4分)
The magnificent building (矗立在天安门广场上) is the Memorial Hall of Chairman Mao.
The people of Hsingtai will always remember (我们敬爱的周总理来看望他们的那一天).
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