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集合间的基本关系(43)基本不等式(38)一元二次不等式(37)
匀变速直线运动基本公式(55)平均速度与瞬时速度(47)匀变速直线运动推论(32)
离子方程式的书写(31)氧化还原反应的概念(23)氧化剂与还原剂(21)
6 · 高中 · 英语
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II. 七选五 Exam Anxiety Has this ever happened to you? You've been studying hard for your midterm, but when you walk into your exam room, your mind goes blank, your heart races fast, you get sweaty palms and you find it hard to breathe. ___1___ Everyone feels stressed during exams. Usually, it results from a fear of failure, lack of enough preparation time and bad experiences of taking tests in the past. This is normal and often helps you work harder, think faster and generally improve your performance. ___2___ You may also feel that other people are managing the exam better than you. This can cause you to feel that your mind has "gone blank" on the information you know you have revised. ___3___ Some choose to ignore the problem, while others don't review because they think they will do badly anyway and even miss exams due to anxiety. It can also be really easy to think that if you don't try and then you fail, you won't feel as bad as if you fail after trying really hard. So what can you do to fight against the negative mindset and stay calm before and during your test? ___4___ Yes, this seems obvious, but it's worth repeating. If you feel confident that you've prepared thoroughly, you'll feel more confident walking into the exam room. The second tip is simple: just start. The blank page can maximize your anxiety. ___5___ You can always go back and change things later if needed, but a few quick answers can get the ball rolling. Besides, allocating your time is equally important. Look through the whole test before getting started. Mentally allocate how much time you'll spend on each section. If there's time to check the paper, it will be even better. A. The first thing you should do is to be prepared. B. People often deal with exam stress in many unhelpful ways. C. If these classic signs of exam anxiety sound familiar, you're not alone! D. Therefore, people need an appropriate amount of pressure to help deal with exams. E. Realizing time is almost up and that there's still a lot of blank space will make you desperate. F. However, if you are overly anxious about the result, you may be unable to focus on your work. G. After you get the paper, dive right in by getting some questions done to build up your confidence. III. 完形填空 Rebecka Peterson, a high school math teacher, is the 2023 National Teacher of the Year. Her first year of teaching wasn't without ___1___, but she remembered why she was there and wanted to bear those ___2___ thoughts in mind. So she created the One Good Thing blog. It was ___4___ and fun, really. Every evening, she would write in her blog, ___5___ one good thing she experienced that day. She gave her blog the tagline: "Every day may not be good, but there is one good thing every day." She encouraged her ___6___ to do the same in their handwritten journals. Just a few minutes a day to ___7___ something good that happened—that would be enough, "she ___8___. She believes that it will make them happier and more ___9___ about learning. During her eleven years of teaching, Peterson has ___10___ that some students find math difficult. Her efforts to make it ___11___ to the students made her the 2023 Oklahoma Teacher of the Year. From there, she ___12___ the title of "2023 National Teacher of the Year" for her remarkable contributions to maths education. Peterson has travelled around the country, talking to other teachers about bringing ___13___ back into classrooms. Her goals include emphasizing the positive experiences students have not only of math but of learning ___14___. She hopes her stories will attract new teachers to the profession and give ___15___ to current ones. 1. A. difficulties B. wonders C. rewards D. surprises 2. A. complex B. positive C. colorful D. anxious 3. A. created B. gathered C. noticed D. improved 4. A. strange B. tough C. simple D. boring 5. A. recording B. forwarding C. discussing D. recommending 6. A. friends B. students C. workmates D. classmates 7. A. draw on B. carry on C. count on D. reflect on 8. A. whispered B. insisted C. ordered D. decided 9. A. effortless B. independent C. confident D. responsible 10. A. expected B. stressed C. concerned D. recognized 11. A. unique B. generous C. shallow D. attractive 12. A. benefited B. secured C. recovered D. desired 13. A. rules B. games C. joy D. wisdom 14. A. in detail B. in common C. in general D. in person 15. A. title B. place C. luck D. energy

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12 · 高中 · 数学
不等式的性质

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已知 $x>y>z$,$x+y+z=0$,则下列不等式中一定成立的是( ) A. $xy>yz$ B. $xz>yz$ C. $xy>xz$ D. $x|y|>z|y|$

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13 · 高中 · 数学
集合的补集运算集合间的基本关系充分条件与必要条件集合的交集运算

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设集合 $A = \{x \mid -1 \leqslant x \leqslant 2\}$,集合 $B = \{x \mid 2m < x < 1\}$。 (1) 若 $B \neq \varnothing$,且“$x \in A$”是“$x \in B$”的必要不充分条件,求实数 $m$ 的取值范围; (2) 若 $B \cap (\complement_{\mathbf{R}} A)$ 中只有一个整数,求实数 $m$ 的取值范围。

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7 · 高中 · 物理
位移与路程v-t图像x-t图像平均速度与瞬时速度

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某次野外骑行活动中,甲乙两位自行车骑手在同一起点沿同一水平直线公路开始同向骑行,甲的位移与时间图像($x$-$t$ 图像)和乙的速度与时间图像($v$-$t$ 图像)分别如图甲、乙所示,下列说法正确的是(  ) A. $0\sim 2\text{s}$ 内甲、乙两骑手的位移大小相等 B. 甲骑手做变速直线骑行,在 $6\text{s}$ 末离出发点最远 C. 乙骑手做变速直线骑行,在 $3\text{s}$ 末回到出发点 D. 甲骑手第 $3\text{s}$ 末的速度与乙骑手第 $2\text{s}$ 末的速度相同

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9 · 高中 · 物理
匀变速直线运动推论探究小车速度随时间变化规律平均速度与瞬时速度

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11. (1) 电磁打点计时器工作电压____ $\text{V}$ 的____(填交流或直流)电源。 (2) 如图是打出的纸带的一段,相邻两个计数点之间还有4个点未画出。已知打点计时器使用的交流电频率为 $50\text{ Hz}$。 [纸带示意图:$O$ 点到各计数点的距离分别为 $OA=3.18\text{ cm}$,$OB=6.74\text{ cm}$,$OC=10.69\text{ cm}$,$OD=15.05\text{ cm}$] a. 部分实验步骤如下:接通打点计时器电源和让纸带开始运动,这两个操作之间的时间顺序关系是____ A. 先接通电源,后让纸带运动 B. 先让纸带运动,再接通电源 C. 让纸带运动的同时接通电源 D. 先让纸带运动或先接通电源都可以 b. 计算 $C$ 点的瞬时速度 $v_C =$ ____(结果保留两位小数)。 c. 如果当时电网中交变电流的频率稍有增大,频率从 $50\text{ Hz}$ 变成了 $60\text{ Hz}$,而做实验的同学并不知道,仍按照 $50\text{ Hz}$ 进行数据处理,那么速度的测量值与实际值相比____(选填:偏大、偏小、不变)

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8 · 高中 · 物理
平均速度与瞬时速度

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(1)用气垫导轨和数字计时器更能精确地测量物体的瞬时速度。如图(1),滑块在牵引力作用下先后通过两个光电门,配套的数字毫秒计记录了遮光板通过第一个光电门的时间为 $\Delta t_1 = 0.19\text{s}$,通过第二个光电门的时间 $\Delta t_2 = 0.05\text{s}$,遮光板的宽度为 $2\text{cm}$,则滑块通过第二个光电门时的速度大小为______$\text{m/s}$。

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7 · 高中 · 英语
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第二节 完形填空(共15小题;每小题1分,共15分) One night, in December last year, Emma Evans realized that something was very wrong with her three-year-old son. He was sleeping nearby, moving his arms and legs around ___21___. Then he became unconscious (昏迷的), which made her extremely ___22___. She called 911 after trying to wake him up with no ___23___. When the ambulance (救护车) ___24___, everyone was out in the street. Her neighbors were looking worried and tried to help her. "But I was so ___25___ on my son. I left the front door of the home wide open, and I ___26___ everything, getting into the ambulance," Evans recalled. In the hospital, Evans knew that her son had ___27___ a grand mal seizure (癫痫发作). The doctors told his ___28___ after a CT scan. With no family members nearby, she was ___29___. And then, less than an hour later, two kind faces appeared at the door. "It was Dick and Mary, my ___30___," said Evans. They told her that after the ambulance left, they ___31___ that the front door was left open. They went inside, picked up Evans's wallet, keys and phone, and then ___32___ the door. Dick even bought a few toys for her son to make him happy. Then they called all the local ___33___ to ask where Evans was. Dick and Mary ___34___ with Evans through the night, and drove them home early the next morning. Later on, whenever Evans thinks of it, she would appreciate a lot about their neighbors' ___35___. 21. A. confidently B. painfully C. carefully D. slowly 22. A. excited B. angry C. amazed D. anxious 23. A. luck B. chance C. debate D. hope 24. A. moved around B. broke down C. checked in D. pulled up 25. A. impressed B. focused C. strict D. hard 26. A. packed B. left C. brought D. prepared 27. A. explored B. desired C. experienced D. discovered 28. A. condition B. fitness C. solution D. purpose 29. A. pleased B. annoyed C. frightened D. relaxed 30. A. teachers B. neighbors C. friends D. relatives 31. A. noticed B. admired C. called D. decided 32. A. fixed B. opened C. locked D. broke 33. A. factories B. hospitals C. schools D. companies 34. A. lived B. stayed C. worked D. played 35. A. power B. share C. praise D. kindness

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7 · 高中 · 物理
串联电路与并联电路电表的改装

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四个相同的电流表分别改装成两个电流表 $\text{A}_1$、$\text{A}_2$ 和两个电压表 $\text{V}_1$、$\text{V}_2$,$\text{A}_1$ 的量程大于 $\text{A}_2$ 的量程,$\text{V}_1$ 的量程大于 $\text{V}_2$ 的量程,把它们接入如图所示的电路,闭合开关后 A. $\text{V}_1$ 读数比 $\text{V}_2$ 读数大 B. $\text{V}_1$ 指针偏转角度比 $\text{V}_2$ 指针偏转角度小 C. $\text{A}_1$ 的读数比 $\text{A}_2$ 的读数大 D. $\text{A}_1$ 指针偏转角度比 $\text{A}_2$ 指针偏转角度小

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1 · 初中 · 数学
二次函数与一元二次方程平行四边形的判定待定系数法求二次函数解析式二次函数与几何综合(存在性问题)二次函数的性质(顶点坐标)一元二次方程的解法(公式法)一元二次方程的解法(因式分解法)特殊角的三角函数值

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25. (10分) 如图所示,抛物线 $y = ax^2 + bx + 3$ 经过点 $A(-1, 0)$ 和点 $B(2, 3)$。 (1) 求抛物线解析式和顶点 $D$ 的坐标; (2) 若直线 $y = \frac{1}{2}x + \frac{1}{2}$ 与抛物线交于点 $A$,$C$,点 $P$ 在抛物线上,过点 $P$ 作 $x$ 轴的垂线,交直线 $AC$ 于 $E$,抛物线的对称轴与直线 $AC$ 交于 $F$。 ① 设点 $P$ 的横坐标为 $m$,当以点 $P$,$D$,$E$,$F$ 为顶点的四边形是平行四边形时,求 $m$ 的值; ② 在直线 $AC$ 上方的抛物线上是否存在点 $P$,满足 $\angle PCA = 45^\circ$,若存在,求出点 $P$ 的坐标,若不存在,请说明理由。

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1 · 初中 · 数学
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$A = 1 + \frac{2}{3} + \frac{3}{5} + \frac{4}{7} + \cdots + \frac{11}{21}$ 的整数部分是 $\underline{\hspace{1cm}}$。

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