学进去-教育应平等而普惠
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已知是二次函数,且满足.
(1)求的解析式.
(2)已知函数满足以下两个条件:①的图象恒在图象的下方;②对任意恒成立.求的最大值.
类型:解答题
难度系数:困难0.15
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假设你是李华,你所在的科技社团开展了一次以“科技与生活”为主题的社区服务活动。社团成员Tom因故未参加本次活动,发邮件询问你该活动的相关情况。请你回复邮件,内容包括:
1.活动时间和地点;2.活动的内容;3.活动的意义。
注意:
1.写作词数应为80左右;
2.请按如下格式作答。
Dear Tom,
___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Yours,

Li Hua

类型:告知信/通知
难度系数:困难0.15
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如图所示,一对长平行栅极板水平放置,极板外存在方向垂直纸面向外、磁感应强度大小为B 的匀强磁场,极板与可调电源相连,正极板上O点处的粒子源垂直极板向上发射速度为v0、带正电的粒子束,单个粒子的质量为m、电荷量为q,一足够长的挡板OM与正极板成37°角倾斜放置,用于吸收打在其上的粒子,CP是负极板上的两点,C点位于O点的正上方,P点处放置一粒子靶(忽略靶的大小),用于接收从上方打入的粒子,CP长度为L0,忽略栅极的电场边缘效应、粒子间的相互作用及粒子所受重力,sin 37°=0.6。
(1)若粒子经电场加速一次后正好打在P点处的粒子靶上,求可调电源电压U0的大小;
(2)调整电压的大小,使粒子不能打在挡板OM上,求电压的最小值Umin
(3)若L0=,当电压从零开始连续缓慢增加时,求粒子靶最多能接收到几种能量的粒子。(假定在每个粒子的整个运动过程中电压恒定)
类型:解答题
难度系数:困难0.15
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如图所示,xOy平面内,x轴下方充满着沿y轴正方向、电场强度大小为2E0的匀强电场;x轴上方被直线边界OA分成两部分,边界左边充满着电场强度大小为E0的匀强电场(电场强度的方向与y轴负方向成37°夹角),另一部分无电场。一比荷为的带正电粒子由边界OA上的P点,以垂直于左边电场方向的速度进入电场区域,经原点O进入下方电场,恰好可以到达坐标为(0,-L)的M点。忽略边界效应,不计粒子重力。已知sin37°=0.6,cos37°=0.8。
(1)求粒子达到原点O时速度大小及从P点运动到O点的时间;
(2)求该粒子从P点运动到原点O的轨迹方程;
(3)一段时间后,粒子又由OA边界上的P点进入无场区域,在无场区域某处垂直撞上一绝缘挡板(图中未画出)。假设该粒子撞板时速度反向,大小变为原来的,且电荷量保持不变。求该粒子第6次撞板后通过x轴时的位置坐标。
类型:解答题
难度系数:困难0.15
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已知椭圆的离心率为,其左、右焦点为,过作不与轴重合的直线交椭圆两点,的周长为8.
   
(1)求椭圆的方程;
(2)设线段的垂直平分线轴于点,是否存在实数,使得?若存在,求出的值;若不存在,请说明理由.
(3)以为圆心4为半径作圆,过作直线交圆两点,求四边形的面积的最小值及取得最小值时直线的方程.
类型:解答题
难度系数:困难0.15
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我国某中学生在学校附近通过天文观测,绘制出北极星光线与正午太阳光线之间夹角α的年变化曲线,下图为该曲线示意图。完成下面小题。



1.符合“昼变短,夜比昼长”条件的时段是(     
A.甲至乙B.乙至丙C.丙至丁D.丁至戊
2.丙日,对应的北极星光线和正午太阳光线位置关系正确的是(     
A.①B.②C.③D.④
类型:选择题组
难度系数:困难0.15
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一位摄影爱好者在我国某山拍摄日出照片,下图是他在不同时间拍摄的两幅照片。回答下列小题。



1.该地这两天的昼长大约是(     
A.12小时和8小时B.13小时和11小时
C.14小时和10小时D.16小时和8小时
2.推测该山可能是(     
A.山东泰山B.海南五指山C.安徽黄山D.四川峨眉山
类型:选择题组
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已知函数.
(1)当时,求的极小值;
(2)若不等式上恒成立,求实数的取值范围.
类型:解答题
难度系数:困难0.15
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The Great PowerPoint Panic of 2003.

Sixteen minutes before touchdown on the morning of February 1, 2003, the space shuttle Columbia (“哥伦比亚”号航天飞机)______ into the cloudless East Texas sky. All seven astronauts aboard were killed. As the shattered shuttle flew toward Earth in pieces, it looked to its live TV viewers like a swarm of shooting stars.

The immediate ______ of the disaster, a report from a NASA Accident Investigation Board determined that August, was a piece of insulating foam (绝缘泡沫胶) that had broken loose and damaged the shuttle’s left wing soon after liftoff. But the report also   ______ out a less direct, more surprising cause. Engineers had known about - and inappropriately______ - the wing damage long before Columbia’s attempted reentry, but the flaws in their analysis were ______ in a series of overstuffed computer-presentation slides that were shown to NASA officials.

By the start of 2003, the phrase “death by PowerPoint” had well and truly entered the ______ vocabulary. Edward Tufte was the first to have taken it literally: That spring, the Yale statistician published a booklet entitled The Cognitive Style of PowerPoint, whose core argument was that the medium of communication influences the substance of communication. While PowerPoint, as a medium, did not ______ create unclear, lazy presentations, it certainly ______ and sometimes even masked them — with potentially deadly consequences. This is exactly what Tufte saw in the Columbia engineers’ slides.

Wired ran an excerpt (节选) from Tufte’s booklet in September 2003 under the headline “PowerPoint Is Evil.” A few months later, The New York Times Magazine included his assessment — summarized as “PowerPoint Makes You Dumb” — in its ______ of the year’s most important ideas. “Perhaps PowerPoint is uniquely suited to our modern age of confusion,” the entry read.

Despite the backlash it inspired in the ______, the presentation giant rolls on. The program has more monthly users than ever before, well into the hundreds of millions. During lockdown, people ______ PowerPoint parties on Zoom. Kids now make PowerPoint presentations for their parents when they want to get a puppy. If PowerPoint is evil, then evil ______ the world.

On its face at least, the idea that PowerPoint makes us stupid looks like a textbook case of misguided technological doomsaying. Today’s concerns about social media somehow resemble the PowerPoint critique. Both boil down to a worry that new media technologies ______ form over substance, that they are designed to hold our attention rather than to convey truth, and that they make us stupid.

______, concerns about new media rarely seem to make a difference. If the innovation did change the way we think, we are measuring its effects with an altered mind. Either the critical remarks were wrong, or they were so right that we can no longer tell the   ______.

1.
A.disappearedB.disintegratedC.distributedD.disappointed
2.
A.sideB.causeC.featureD.issue
3.
A.collectedB.unifiedC.droppedD.single
4.
A.discountedB.viewedC.accessedD.founded
5.
A.mutedB.absorbedC.buriedD.sunk
6.
A.technicalB.popularC.negativeD.special
7.
A.possiblyB.reasonablyC.ordinarilyD.necessarily
8.
A.accommodatedB.combinedC.distinguishedD.enhanced
9.
A.abstractB.repetitionC.reviewD.brief
10.
A.pressB.publicationC.mediaD.criticism
11.
A.openedB.createdC.threwD.jumped
12.
A.rulesB.harmonizesC.impactsD.roars
13.
A.featureB.encourageC.valueD.defend
14.
A.ThereforeB.HoweverC.CertainlyD.Surprisingly
15.
A.differenceB.truthC.timeD.concern
类型:完形填空
难度系数:困难0.15
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长直公路上,甲、乙两汽车正以相同速度v0=16m/s同向匀速行驶,甲车在前,乙车在后,乙车头与甲车尾的距离d=18m,若t=0时刻甲车以加速度大小为:2m/s2减速刹车。
(1)若甲车开始刹车后,乙车司机反应了2s后也开始刹车。
①甲车刹车到停下通过的距离。
②乙车至少以多大的加速度刹车减速才能避免两车相撞?
(2)若甲车开始刹车后,乙车司机因故一直未采取制动措施,甲车司机发现后立即又以2m/s2的加速度加速前进。为了避免两车相撞,甲车最多减速多少时间?
(3)若甲车刹车的加速度大小按如图所示变化(10s后加速度为0)。
①求0~10s内甲车位移大小是多少?(只需给出结果即可)
②试求在这种情况下,第(1)问中乙车的加速度至少多大,才能避免两车相撞。
类型:解答题
难度系数:困难0.15
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