1. 短文需写在答题卡的指定区域。
2. 给Grown-up提出解决问题的具体建议。
要求:
Passage 1
(09·北京--情景作文)
假设你是红星中学高三一班的学生李华为响应绿化祖国的号召, 你班四月十二日去郊区植树。请根据一下四幅图的先后顺序, 介绍指数活动的全过程, 给某英文杂志的“绿色行动”专栏写一篇以“Green Action in Our Class”为题的英文稿件。
注意: 字数不少于60。
提示词: 郊区 suburbs
[参考范文]
Green Action in Our Class
April 12 is memorable because our class had a meaningful experience on that day. In the morning, we bicycled to the suburbs to plant trees, talking and laughing all the way. Upon arrival, we began to work immediately. Some were digging holes. Some were carrying and planting young trees. Others were watering them. After getting the work done, we put up a board reminding people to protect the trees. Before leaving we took some photos to record our green action. Seeing the lines of trees, we all had a sense of achievement. We feel it's our duty to protect and beautify our environment.
Passage 2
(09·北京--开放作文)
根据下面提示, 写一篇短文, 字数不少于50.
In your spoken English class, your teacher shows you the following picture. You are asked to describe the picture and explain how you understand it.
[参考范文]
What an interesting picture! A Western young man, sitting at a table, is ready to eat a bowl of noodles. He is holding two forks the same way as we Chinese hold chopsticks. He is trying so hard to pick up the noodles that he is sweating a lot. At first glance, I think it's a bit funny, for we Chinese take for granted that chopsticks are the tools for eating noodles. The man in the picture is trying to copy us. Obviously he is doing it the hard way. Maybe using one fork will do a better job. In my opinion, we don't need to copy other's ways of thinking. Sometimes a simpler way of doing things may be a better way.
Passage 3
(09·陕西)
假定你是李华。在一个英文网络论坛上, 你看到一个名叫Grown-up的中学生发帖(post)寻求帮助, 请根据帖子内容, 写作要点和要求回贴。
写作要点:
1. 告诉Grown-up要理解母亲;
2、 如图示:光从A点射入圆形玻璃,并从B点射出,若射出玻璃与射入玻璃的光线夹角为30°,AB弧所对的圆心角为120°,下列说法正确的是:( C )
A. 在A点的入射角为30°
B. 在B点的入射角为45°
C. 玻璃的折射率为
D. 玻璃的折射率为
解:光路图作,由于对称性,∠1=60 ° ∠2=15 ° ∠i =45
|
3:如图,a和b 都是厚度均匀的平玻璃板,它们之间的夹角为φ,一细光束以入射角θ从P点射入,θ > φ,已知此光束由红光和蓝光组成,则当光束透过b板后, ( D )
A.传播方向相对于入射光方向向左偏转φ角
B.传播方向相对于入射光方向向右偏转φ角
C.红光在蓝光的左边
D.红光在蓝光的右边
二计算题
4: 光屏MN 和遮光板PQ彼此平行地竖直放置,它们相距10cm,遮光板PQ上有一直径为1cm 的圆形透光孔ab,位于遮光板左侧20cm 处有一点光源S,如图示,在点光源S下方水平放置一块平面镜使点光源发出的光通过圆孔ab后在光屏MN上形成两个光斑,两个光斑外边缘上下距离为5.5cm,作图计算平面镜距点光源的竖直距离。
解:作光路图,由相似关系AB=A1B1=1.5cm A1B=5.5cm ∴ BB1 =4cm ΔBB1b ∽ ΔSS1b SS1 / BB1 = SS 1/Aa=2
∴ SS1 =8cm h=1/2×SS1 =4cm
5: 如图示,一束平行光照射在半径为R的半圆柱形玻璃砖的圆柱面上,光线a是与一条半径重合的光线,该光线照射到圆心O点与直径AB夹角为45°,且刚好发生全反射.请作图并确定出光线能从AB面射出的范围.
答案;
6:如图示,一不透明的圆柱形容器内装满折射率n =的透明液体,容器底部正中央O点处有一点光源S,平面镜MN与底面成45°角放置,若容器高为2dm,底面半径为(1+
)dm,OM=1dm,在容器中央正上方1dm 处水平水平放置一足够长的刻度尺,求光源S 发出的光经平面镜反射后,照射到刻度尺上的长度。(不考虑容器侧壁和液面的反射)
解:作出光路图如图示:由几何关系得:M S' = M S =1dm
S'P=3dm PQ= dm
答案
19.(北京市丰台区2008年4月高三统一练习一)已知,
,
,
.
(Ⅰ)当时,求使不等式
成立的x的取值范围;
(Ⅱ)求使不等式成立的x的取值范围.
解 (Ⅰ)当时,
,
.
.
∵ ,
∴ 解得
或
.
∴ 当时,使不等式
成立的x的取值范围是
.
(Ⅱ)∵ ,
∴ 当m<0时,;
当m=0时, ;
当时,
;
当m=1时,;
当m>1时,.
18.(四川省巴蜀联盟2008届高三年级第二次联考)设向量,其中
.
(1)求的取值范围;
(2)若函数的大小
解 (1)∵,
∴,
∵,∴
,∴
,
∴。
(2)∵,
,∴
,
∵,∴
,∴
,∴
17.(北京市东城区2008年高三综合练习二)已知Rt△ABC的斜边BC=5,则的值等于
.
答案 -25
16.(北京市朝阳区2008年高三数学一模)已知,且
,∠AOB=60°,则
=____;
与
的夹角为_____.
答案 2,
15.(安徽省巢湖市2008届高三第二次教学质量检测)已知向量,
,则
的值为
.
答案 1
14.( 江苏省滨海县2008高三第三次联考数学试卷)不共线的向量,
的模都为2,若
,
,则两向量
与
的夹角为
答案 90°
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