学进去

设．
(1)证明：的图象与直线有且只有一个横坐标为的公共点，且；
(2)求所有的实数，使得直线与函数的图象相切；
(3)设（其中由（1）给出），且，，求的最大值．

阅读下面的材料，根据要求写作。

庄子善于从常人认为没有价值的事物中发现价值。课文《五石之瓠》中，惠子仅仅从日常使用的层面上考虑大葫芦的功用，庄子则超越世俗经验的束缚，指出了大葫芦可浮游于江湖的独特价值。

对此，你有怎样的思考？请结合课文和现实谈谈你的看法，写一篇文章。

要求：选好角度，确定立意，明确文体，自拟标题；不要套作，不得抄袭；不得泄露个人信息；不少于800字。

如图甲所示，真空中水平放置两块长度为的平行金属板P、Q，两板间距为d，两板间加上如图乙所示最大值为的周期性变化的电压，在两板左侧紧靠P板处有一粒子源A，自时刻开始连续释放初速度大小为、方向平行于金属板的相同带电粒子，时刻释放的粒子恰好从Q板右侧边缘离开电场。已知电场变化周期，粒子质量为，不计粒子重力及相互间的作用力，则以下说法正确的是（　　）

A．时刻进入的粒子在时刻的速度方向与金属板成45°角

B．到时段内进入的粒子离开电场时的速度方向均平行于极板

C．时刻进入的粒子在时刻与P板的距离为

D．时刻进入的粒子与P板的最大距离为

已知椭圆的两个顶点分别为，，焦点在轴上，离心率为.
(1)求椭圆的方程；
(2)若直线与轴交于点，与椭圆交于，两点，线段的垂直平分线与轴交于，求的取值范围.

已知函数．
(1)当，求曲线在点处的切线方程．
(2)若在上单调递增，求a的取值范围；
(3)若的最小值为1，求a．

已知双曲线经过点，且离心率为2.
(1)求的方程；
(2)过点作轴的垂线，交直线于点，交轴于点.设点为双曲线上的两个动点，直线的斜率分别为，若，求.

In our information-driven society, shaping our worldview through the media is similar to forming an opinion about someone solely based on a picture of their foot. While the media might not deliberately deceive us, it often fails to provide a comprehensive view of reality.

Consequently, the question arises: Where, then, shall we get our information from if not from the media? Who can we trust? How about experts- people who devote their working lives to understanding their chosen slice of the world? However, even experts can fall prey to the allure of oversimplification, leading to the “single perspective instinct” that hampers (阻碍) our ability to grasp the intricacies (错综复杂) of the world.

Simple ideas can be appealing because they offer a sense of understanding and certainty. And it is easy to take off down a slippery slope, from one attention-grabbing simple idea to a feeling that this idea beautifully explains, or is the beautiful solution for, lots of other things. The world becomes simple that way.

Yet, when we embrace a singular cause or solution for all problems, we risk oversimplifying complex issues. For instance, championing the concept of equality may lead us to view all problems through the lens of inequality and see resource distribution as the sole panacea. However, such rigidity prevents us from seeing the multidimensional nature of challenges and hinders true comprehension of reality. This “single perspective instinct” ultimately clouds our judgment and restricts our capacity to tackle complex issues effectively. Being always in favor of or always against any particular idea makes you blind to information that doesn’t fit your perspective. This is usually a bad approach if you would like to understand reality.

Instead, constantly test your favorite ideas for weaknesses. Be humble about the extent of your expertise. Be curious about new information that doesn’t fit, and information from other fields. And rather than talking only to people who agree with you, or collecting examples that fit your ideas, consult people who contradict you, disagree with you, and put forward different ideas as a great resource for understanding the world. If this means you don’t have time to form so may opinions, so what?

Wouldn’t you rather have few opinions that are right than many that are wrong?

1．What does the underlined word “allure” in Para.2 probably mean?

A．Temptation.

B．Tradition.

C．Convenience.

D．Consequence.

2．Why are simple ideas appealing according to the passage?

A．They meet people’s demand for high efficiency.

B．They generate a sense of complete understanding.

C．They are raised and supported by multiple experts.

D．They reflect the opinions of like-minded individuals.

3．What will the author probably agree with?

A．Simplifying matters releases energy for human brains.

B．Constant tests on our ideas help make up for our weakness.

C．A well-founded opinion counts more than many shallow ones.

D．People who disagree with us often have comprehensive views.

4．Which of the following can be the best title of the passage?

A．Embracing Disagreement: Refusing Overcomplexity

B．Simplifying Information: Enhancing Comprehension

C．Understanding Differences: Establishing Relationships

D．Navigating Complexity: Challenging Oversimplification

假设你是高二学生李华，你的美国朋友Tom给你写信说，在美国，假期时学生们会选择做志愿者参加社区服务，或做兼职以赚取零花钱。Tom想了解一下你的假期规划和安排，请你给Tom写一封e-mail，要点如下：
1.你对假期的理解；
2.你的个人选择及原因。
注意：1.词数100左右；开头结尾已给出，不计入总数；
2.可适当增加细节，以使行文连贯。
Dear Tom,
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Yours,

Li Hua

上周你校组织学生进行绘画创作，并把画作献给了一家敬老院。请你就此为校英文报写一篇报道，内容包括：
1. 活动介绍；
2. 活动意义。
注意：1. 写作词数应为80个左右；
2. 请按如下格式在答题卡的相应位置作答。

Creating Paintings for the Elderly

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阅读下面材料，根据其内容和所给段落开头语续写两段，使之构成一篇完整的短文。

It was a wonderful spring day. The Earth was finally awakening from her Winter sleep. New life was everywhere. The sky was clear and blue. The air smelled sweet. The sun was kissing the world with its warmth. It was already nearly 21℃.

I was driving to pick my son up from the workshop, where he works a few days a week. On my drive I saw various beautiful flowers in people’s yards. The fields were full of yellow dandelions (蒲公英) with some already turning into little white balls of seeds.

The trees were starting to awaken too. The blossoms on them were white, purple and pink. The songs of the birds were in the air as well. I was taking it all in and feeling the love from the creation all around me. I longed to be a part of it and share my love as well.

I pulled into the driveway of the workshop and parked my car. As I got out, I saw a lost little butterfly larva (幼虫) moving the wrong way towards the sidewalk. It was just about to go under my tire when I reached down and picked it up. I held it gently in my hand and walked over to the grassy hillside on the other side of the parking lot. Before I put it down, I said, “You will never become a butterfly if you get run over my friend. The best place you stay is the grass.”

Just then, it was time to leave work, and my son came out. As he saw me, he waved from the distance. I hurried to meet him, still holding the butterfly larva in my hand. When he saw what I had in my hand, he was very curious and asked me what I was holding. I told him and said I was going to put it back in the grass.

注意：1. 续写词数应为150个左右;
2. 请按如下格式在答题卡的相应位置作答。

My son suggested taking the butterfly larva home to look after it.

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The moment finally arrived when the larva was going to become a butterfly.

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