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2024 年“江南十校”高二 12 月份联考物理
参考答案
1. 答案:C
【思路点拨】:麦克斯韦预言了电磁波,赫兹通过实验证实了电磁波的存在。故本题选C。
2. 答案:B
【思路点拨】:根据感应电流产生的条件,A选项中线框磁通量 BS ,始终不变,故错误;
B选项中磁场为非匀强磁场,线框中的磁通量发生变化,故正确;C、D选项中线圈中磁通量
始终为零,故错误。故本题选B。
3. 答案:C
【思路点拨】:根据场强叠加原理,B、C两电荷在b处的场强方向与A电荷在b处的场强方
向相同,均竖直向下,而B、C两电荷在a处的场强方向与A电荷在a处的场强方向相反,
故b点场强大于a处场强,故A、B错误。b到o的电场方向均竖直向下,沿着电场方向电
势不断降低,则b点电势高于o点电势,故D错误。电势是标量,根据对称性可知,e点电
势等于f点电势,故C正确。所以本题选C。
4. 答案:A
【思路点拨】:根据电场线垂直于等势线,做一电场线与运动轨迹相交,根据曲线运动轨迹
和受力特点以及带电粒子的电性,可知云层带负电,避雷针带正电,故B错。根据电场线
由高电势指向低电势,故N点电势高于M点电势,因带电粒子带负电,所以带电粒子在M
点的电势能大于N点的电势能,故A正确。带电粒子在M点受力方向为该点电场线切向的
反方向,故C错误。越靠近避雷针场强越大,加速度越大,故D错。所以本题选A。
5. 答案:D
【思路点拨】:AB. 由图线得,测试者呼出的气体中酒精浓度越低,气敏电阻的阻值越大,
根据欧姆定律,电阻的阻值越大,电压表示数越大、电流表示数越小,电源的效率越大,
AB错误;因为电源的内阻未知,无法确定电源的输出功率的变化情况,C错误;因为气敏
R c E
电阻的阻值随酒精浓度c成反比 1 2 4,根据闭合电路欧姆定律得I ,
R c 1 R R r
2 1 1 0
E I 4R R r 4R R r3R r 3 R r
I ,解得 2 2 0 2 0 0 4 0 4,D正
2 R R r I R R r 4R R r 4R R r
2 0 1 2 0 2 0 2 0
确。故本题选D。
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{#{QQABIQQUggiAQABAARhCQwWwCgAQkhGAASgOQBAMMAIAiBNABAA=}#}6. 答案:B
【思路点拨】:将电荷P从C移动到B,电场力做功为W U q q,得
CB CB C B
W
W 0.6J ,所以克服电场力做功0.6J,故A错误。由题可得,U CA 8V ,所以
CB CA q
1 1
2V ,过B点做AC的垂线,交于D点,根据几何关系可得AD AB AC ,
A 2 4
1
则有U U 2V,可得 0V ,可知BD为等势线,则电场方向由C指向A,大
DA 4 CA D B
U U 8
小为E CA CA N/C 20N/C,故B正确,C错误。因为E q 0.2J ,
CA 2AB 20.2 PA A
故D错误。所以本题选B。
7. 答案:B
【思路点拨】:A 选项中平面磁通量 BScos,所以错误;B 选项中电通量
q
ES k 4r2 4kq,所以正确;C选项中由于穿过球面的电场线条数未发生变
E r2
化,电通量不变,所以错误;D选项中球面的磁感应线穿进和穿出条数相等,磁通量为零,
所以错误。故本题选B。
8. 答案:A
【思路点拨】:由于球壳内部电场强度为零,所以试探电荷在内部移动时电场力不做功,故
电势能不变化,球壳外部电场可等效为点电荷产生的电场,试探电荷由球壳表面向外移动时
电场力做正功,电势能渐少,由于电场力越来越小,移动相同位移过程中电场力做功越来越
少,电势能减少越来越慢。故本题选A。
9. 答案:BD
【思路点拨】:断开开关S,场强不变,故小球恰好能运动至小孔N处,所以A错误。若仅
S
将B板下移,根据公式C r ,电容减小;由于二极管的作用可以阻止电容器上的电量
4kd
Q 4kQ
流出,故电量不变,根据C ,U=Ed,得到E ,故场强不变,故到达小孔N时,
U S
r
重力做功小于电场力做功,可知未达到小孔N时速度已经减为零返回了,所以B正确;若
S
仅将B板上移,根据公式C r ,电容增加,电容器要充电;由于电压U一定,根据
4kd
U=Ed,电场强度增加;故到达小孔N时,重力做功小于电场力做功,可知未达到小孔N时
速度已经减为零返回了,所以C错误;若将滑动变阻器的滑片上移,分压增加,故电容器
的电压增加,故如果能到达小孔N,重力做功小于电场力做功,可知未达到小孔N时速度
已经减为零返回了,故D正确。故本题选BD。
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{#{QQABIQQUggiAQABAARhCQwWwCgAQkhGAASgOQBAMMAIAiBNABAA=}#}10.答案:BCD
4
【思路点拨】:由题意,电场力大小F Eq mg方向:水平向右,对小球由a到c的过程,
3
1
由动能定理得F0.5RRmgR mv2解得v 2gR,在C点运用牛顿第二定律可得:
2 c c
mv2 10 v2
NF c ,解得N mg.A错误。h c R,H RR 2R。B正确。小球离开c点
R 3 2g
后竖直方向做竖直上抛运动,设小球离开c点到其轨迹最高点所需的时间为t,有0v gt,
c
小球沿水平方向做初速度为0的匀加速运动,加速度为a,则有:由牛顿第二定律可知
F 4 1 4
a g,此过程小球沿电场方向位移为x at2 R,电场力做功为
m 3 2 3
34
W F0.5RRx mgR,因为电场力做正功,所
9
34
以电势能减少量为E mgR。C正确。由题意可
P 9
知,重力与电场力合力方向与竖直方向夹角53°,斜向
下如图,沿着合力与垂直合力方向建立坐标系,将C点
速度沿着两个方向分解,y方向做匀减速直线运动,x方向做匀速直线运动,此速度为离开
4 2gR
C后的最小速度v v sin53 ,D正确。故本题选BCD。
x C 5
11. 每空2分 (1)红 10 (2)偏大
【思路点拨】:(1)由“红入黑出”可知,b端应与红表笔连接;开关S断开与闭合时相比
较断开时欧姆表的内阻大,即中值电阻大,所以开关S闭合时欧姆表的倍率是 10。
(2)由闭合电路欧姆定律知,当内阻变大,但此表仍能调零,说明欧姆表的内阻不变,当
电池电动势变小,通过表头的电流变小,指针的由原来的位置向左偏移,测量结果将比真实
值偏大;
12. 每空2分 (1)A 0~2mA (只写2mA也给分)
2
(2)
(3) 0.91(0.89~0.93 都给分) 3.7×102Ω (3.6~3.8×102Ω 都给分)
【思路点拨】:(1)实验电路中最大电流约1~2mA,则需选择电流表A ,并用定值电阻R 对
2 0
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{#{QQABIQQUggiAQABAARhCQwWwCgAQkhGAASgOQBAMMAIAiBNABAA=}#}200μA900Ω
其量程进行扩充;扩充后的量程为I 200μA 2000μA 2mA,故0~2mA。
100Ω
(2)电路如图所示
900100
(3)改装后的电流表内阻为 Ω90Ω,设电流表的电流为I,干路电流为I
900100 总
I900 E 1 10 10r90
I I 10I,根据闭合电路欧姆定律得I ,解得 R
总 100 总 Rr90 I E E
10
165103 10r90
根据图像得 , 5103,解得E 0.91V,r3.7102Ω
E 10000 E
13. (1)r 3,P 2.52W (2)会被烧坏
M 输出
U r
【思路点拨】:(1)当R 56时,由闭合电路欧姆定律得: M ··· (2分)
E rr R
M
带入数据得:r 3 ······································(1分)
M
当R 9时
由闭合电路欧姆定律:U EI(rR) ······································(1分)
M
电动机得输出功率:P IU I2r ······································(1分)
输出 M M
解得:P 2.52W ······································(2分)
输出
(2)若被卡住,由闭合电路欧姆定律:E I(Rrr ) ···························(1分)
1 M
电动机得热功率:P I2r ······································(2分)
热 1 M
解得:P 2.56W 2W ,会被烧坏 ······································(2分)
热
1kQq
14. (1)F ' F mg (2)v 3 gR
N N 2 R2 C
【思路点拨】:(1)如图,有几何关系可得:
3R
AC 2BC ·····························(2分)
cos
BC 2Rcos ································ (1分)
3
所以:cos ······························(1分)
2
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{#{QQABIQQUggiAQABAARhCQwWwCgAQkhGAASgOQBAMMAIAiBNABAA=}#}1kQq
由B点受力分析可得:F F sinmgsin mg··················(2分)
N 库 2 R2
1kQq
所以:F ' F mg······························(2分)
N N 2 R2
1kQq
(第(1)问如果学生用负电荷计算,得到结果F ' F mg也给分)
N N 2 R2
(2)根据点电荷的电场特征可知,BC所在的圆是一个等势面,所以小球从B到C电场力做
的总功为零,由几何关系可得BC的竖直高度为:
3
h R······························(1分)
BC 2
小球从B到C,根据动能定理可得:
3 1 1
mg R mv2 mv2 ······························(2分)
2 2 C 2 B
解得:v 3 gR ······························(1分)
C
L 3
15. (1)v (2) 60,y L (3)30
Tcos m B 2
【思路点拨】:(1)粒子水平方向做匀速直线运动:
L
v ①············································································(1分)
x T
v
v x ②······················································································(1分)
cos
L
v ··············································································(1分)
Tcos
(2)逆向思维,沿上边界曲线Ⅰ运动的粒子可视为从B垂直于荧光屏向左做类平抛运动:
Eq 3L
a ③·········································································(1分)
m T2
在O点处:
3L
v aT ··············································································(1分)
y T
v
tan y 3············································································(1分)
m v
x
60······················································································(1分)
m
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{#{QQABIQQUggiAQABAARhCQwWwCgAQkhGAASgOQBAMMAIAiBNABAA=}#}1 3
y aT2 L··········································································(1分)
B 2 2
(3)设曲线Ⅱ的上的一点Q坐标为(x,y),经过Q的粒子打在荧光屏上的坐标为(L,y'),设粒子在
电场中的运动时间为t,逆向思维粒子垂直于荧光屏向左做类平抛运动,由几何关系可知:
y
tan ④··············································································(1分)
x
v
tan y ⑤············································································(1分)
v
x
v at ⑥·················································································(1分)
y
Lxv t ⑦··········································································(1分)
x
联立①③④⑤⑥⑦可得:
(Lx)x
y 3 ⑧····································································(1分)
L
1
y y at2 ⑨·······································································(1分)
2
联立①③⑦⑧⑨以上三式还可以解得:
1 3 (Lx)2 (Lx)x
y at2 y 3 ··········································(1分)
2 2 L L
5 3
将P点纵坐标 y L代入可解得Q点坐标:
18
2
x L ····················································································(1分)
3
(Lx)x 2 3
y 3 L ·····························································(1分)
L 9
y 3
解得:tan ,可得30 ·························································(1分)
x 3
(计算题使用其他合理解法也可酌情给分)
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{#{QQABIQQUggiAQABAARhCQwWwCgAQkhGAASgOQBAMMAIAiBNABAA=}#}