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小学数学大练2010年全国高考II卷部分数学试题解析

作者:高考题库网
来源:https://www.bjmy2z.cn/gaokao
2020-11-22 21:52
tags:全国高考, 高考, 高中教育

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2020年11月22日发(作者:任氏)
In 2016 County Economic workshop Shang of speech comrade are: this county economic workshop of main task is, full implement implementation Central, and provincial, and municipal economic workshop and province party main leaders seminar spirit, recalled summary results, analysis judge situation, arrangements deployment new annual focus work task, mobilization County upper and lower further grasp new normal, implementation new concept, temper new style, show new as, struggled to advance County economic social transformation upgrade science development. Following, told four a aspects of problem: a, and full certainly results, effective firm transformation upgrade of confidence and determination 2015, face macroeconomic down pressure continued increased of severe situation and difficult heavy of reform development task, County upper and lower tight at Central and provinces series major decision deployment, firmly grasp stability in the seeking into total tone, active
adapted economic development new normal, focused focus field, full work storming, County economic social development rendering out contrarian to good, and stability in the has into, and more points breakthrough, and Overall a good trend. One is closely linked to the transformation and upgrading of the global, comprehensive economic power significantly. Accurately gauge the macro situation and based on real comprehensive plan, strongly promote the sustained and healthy development of economy and society. Project support capacity increased significantly. Adhere to the inside and outside simultaneously, build, implementation of national and provincial investment of 625 million Yuan, for State one or two, three, four or five specific bond funds and local replacement bond funds of 554 million Yuan, for the starting year of key construction projects has laid a solid foundation. In particular the national circular economy demonstration counties and .two State-level pilot project of
ecological demonstration County project platforms settled in jingchuan, Zhu Jia Jian construction of the reservoir began, handicap reservoirs, Liu Lihe reservoir preparat4ion work goes well, take solid steps for comprehensive utilization of water resources; city gas station to speed up implementation of the project, I became the County's first West-East gas pipeline project in the surrounding area benefit from the County, major projects supported increased significantly. Overall well-off society constantly consolidate 254the basis. Battle victory industrial development as the primary task of the well-off, fruit production suitable for full coverage of the target will be realized, vegetable industry development area extending, farming aquaculture changes the momentum of the show, se + base + farmershey gradually introduced measures significantly strengthen standardized management, industry constantly consolidate the basis and enriching. Investment attraction results
continue to expand. Adhere to the soft environment of excellence and improve the environment are equally
2010年全国高考II卷部分数学试题解析
正宁一中 李永卿 2010.6.19
高考结束十日有余,有些同学想进行总结和反思,他们谈到个别题目无从入
手、有的也不知错因。见于此 ,在这里将部分有代表性或难度稍大的选择、填空
题和部分思考方法不同于《评分参考汇编》中的解答题 进行详细解析。由于水平
有限,且仁者见仁,智者见智、思路不同,方法迥然、一题多解,屡见不鲜。所
以,不妥之处敬请谅解并不吝指教。
理4(文6). 思路一:由等差中项知a
4
=4 而a
1
+ a
2
+…+ a
7
=7 a
4
=28.
思路二:引入首项和公差后可得a
1
+3d=4 而a
1
+ a
2
+…+ a
7
=7(a
1
+3d)=28.
思路三:(特例法):设该等差数列为各项为4的常数列,答案显而易见。
理6(文9). 思路一:记三个信封为A、B、C,则先选一个信封放入卡片
1、2,有种方法;再从卡片3、4、5、 6中任选两张装入第二个信封,有种
=18种方法。 ∴方法;剩下的装入第三个信封,只有一种方法。故共有
选B.
思路二:先将卡片3、4、5、6均分为两组,有
个不同的信封有种。故有/=18(种)。
/种;再将三组分别装入三
理7. 思路一:利用“五点”作图的方法,分别令2x+=0和2 x-=0可知将
原函数图像上的点(-,0),平移到点(,0)的位置。故向右平移-(-)
=个单位。 因而选B.
思路二(直接法):设原函数平移个单位可得函数y=,
再与y=比较,易得 = - .
思路三(验证法):特别注意 “左加右减”和左右平移只对自变量x而言,
假如平移的量为,应代人2(x+)+ 进行验证。
理8(文10). 思路一:由角平分线定理知 ∴2BD=DA ∴
In 2016 County Economic workshop Shang of speech comrade are: this county economic workshop of main task is, full implement implementation Central, and provincial, and municipal economic workshop and province party main leaders seminar spirit, recalled summary results, analysis judge situation, arrangements deployment new annual focus work task, mobilization County upper and lower further grasp new normal, implementation new concept, temper new style, show new as, struggled to advance County economic social transformation upgrade science development. Following, told four a aspects ofproblem: a, and full certainly results, effective firm transformation upgrade of confidence and determination 2015, face macroeconomic down pressure continued increased of severe situation and difficult heavy of reform development task, County upper and lower tight at Central and provinces series major decision deployment, firmly grasp stability in the seeking into total tone, active
adapted economic development new normal, focused focus field, full work storming, County economic social development rendering out contrarian to good, and stability in the has into, and more points breakthrough, and Overall a good trend. One is closely linked to the transformation and upgrading of the global, comprehensive economic power significantly. Accurately gauge the macro situation and based on real comprehensive plan, strongly promote the sustained and healthy development of economy and society. Project support capacity increased significantly. Adhere to the inside and outside simultaneously, build, implementation of national and provincial investment of 625 million Yuan, for State one or two, three, four or five specific bond funds and local replacement bond funds of 554 million Yuan, for the starting year of key construction projects has laid a solid foundation. In particular the national circular economy demonstration counties and .two State-level pilot project of
ecological demonstration County project platforms settled in jingchuan, Zhu Jia Jian construction of the reservoir began, handicap reservoirs, Liu Lihe reservoir preparat4ion work goes well, take solid steps for comprehensive utilization of water resources; city gas station to speed up implementation of the project, I became the County's first West-East gas pipeline project in the surrounding area benefit from the County, major projects supported increased significantly. Overall well-off society constantly consolidate 254the basis. Battle victory industrial development as the primary task of the well-off, fruit production suitable for full coverage of the target will be realized, vegetable industry development area extending, farming aquaculture changes the momentum of the show, se + base + farmershey gradually introduced measures significantly strengthen standardized management, industry constantly consolidate the basis and enriching. Investment attraction results
continue to expand. Adhere to the soft environment of excellence and improve the environment are equally
==(-) 而=+=+(-)=+ . 故选B.
C
E
B
D
思路二:因为D到CA、CB两边的距离相等,
且CA=2 CB=1 ∴S
ACD
=2 S
BCD
, 再将C视
为顶点,可得2BD=DA(以下同上)。
思路三:由正弦定理得CA/sin∠ADC=AD/ sin∠ACD,
CB/sin∠BDC=BD/ sin∠BCD, 又∠ACD=∠BCD
A
∠ADC=180
0
-∠BDC ∴ (以下同上)。
思路四:取CA的中点E,则
需验证那个选项与的数量积为零。
是等腰三角形 ∴CD⊥BE 而=- 只
思路五:特例法,如上图,取AC=2 BC=1 ∠ABC=90
0
的直角三角形,
易得AD、DB长度,(以下同上)。
理9. 思路一:设棱锥的高为h. 底面中心为O,则
S
ABCD
=
=12-h
2
(图略) ,
/2=2(12-h
2
) 体积V = S
ABCD
h/3=2(12-h
2
) h/3=2(12h-h
3
) /3
V
/
=2(4-h
2
) =0 得h=2. 因为是实际问题,在定义域内只有一个点使得V
/
=0,
所以h=2即为所求。 故选C.
思路二:(同上) 由V
2
=4(12-h
2
)
2
h
2
/9 =2(12-h
2
)(12-h
2
)2h
2
/9≤
=2
10
/9 即V=32/9 当且仅当= 即h=2时
取等号。(应用了三个正数的算术平均数不小于它的几何平均数,仅供参考).
理10. 解: 显然a>0, y
/
=- ∴k= y
/

x=a
=- ∴切线方程为
y-=-(x-a) 分别令x=0 y=0可得在坐标轴上的截距分别为和3a.
由 3a=18 得a=64 选A.
当然用验证法,歪打正着,验证A选项正好符合。
理(文)11. 解:(图略) 通过观察可知D、B两点到三线的距离都为棱长,
正方体中心到三线的距离都为棱长的倍。另外,从坐标 角度考虑,由定比分

2
In 2016 County Economic workshop Shang of speech comrade are: this county economic workshop of main task is, full implement implementation Central, and provincial, and municipal economic workshop and province party main leaders seminar spirit, recalled summary results, analysis judge situation, arrangements deployment new annual focus work task, mobilization County upper and lower further grasp new normal, implementation new concept, temper new style, show new as, struggled to advance County economic social transformation upgrade science development. Following, told four a aspects of problem: a, and full certainly results, effective firm transformation upgrade of confidence and determination 2015, face macroeconomic down pressure continued increased of severe situation and difficult heavy of reform development task, County upper and lower tight at Central and provinces series major decision deployment, firmly grasp stability in the seeking into total tone, active
adapted economic development new normal, focused focus field, full work storming, County economic social development rendering out contrarian to good, and stability in the has into, and more points breakthrough, and Overall a good trend. One is closely linked to the transformation and upgrading of the global, comprehensive economic power significantly. Accurately gauge the macro situation and based on real comprehensive plan, strongly promote the sustained and healthy development of economy and society. Project support capacity increased significantly. Adhere to the inside and outside simultaneously, build, implementation of national and provincial investment of 625 million Yuan, for State one or two, three, four or five specific bond funds and local replacement bond funds of 554 million Yuan, for the starting year of key construction projects has laid a solid foundation. In particular the national circular economy demonstration counties and .two State-level pilot project of
ecological demonstration County project platforms settled in jingchuan, Zhu Jia Jian construction of the reservoir began, handicap reservoirs, Liu Lihe reservoir preparat4ion work goes well, take solid steps for comprehensive utilization of water resources; city gas station to speed up implementation of the project, I became the County's first West-East gas pipeline project in the surrounding area benefit from the County, major projects supported increased significantly. Overall well-off society constantly consolidate 254the basis. Battle victory industrial development as the primary task of the well-off, fruit production suitable for full coverage of the target will be realized, vegetable industry development area extending, farming aquaculture changes the momentum of the show, se + base + farmersntroduced measures significantly strengthen standardized management, industry constantly consolidate the basis and enriching. Investment attraction result
continue to expand. Adhere to the soft environment of excellence and improve the environment are equally
点公式知,直线AB上的所有点的纵、横、竖坐标是相同的,不妨设为(m、m、
m)。若视D 为原点,易求它到三条线的距离都为[m
2
+(1-m)
2
]
1/2
. 故应选D.
理(文)12. 思路一,设椭圆的右准线为L,
过A、B分别作AM⊥L,BN⊥L,过B作
BD⊥AM. 设直线AB的倾斜角为,由椭圆
F
B
N
第二定义知=, = ,
A
D M
因为=-=
=
-
=
,
+)= 而在ABD中+ 即
-=+ 整理得(=(
又由题设知=3 (=( 而e= 解得
= = 即为斜率的值。 故选B.
=a-e 而=C-代入上式得思路二:由第二定义知
=
(以下同上)。
.同理= 由 =3得
思路三:如果对圆锥曲线的极坐标方程=较熟悉。由此可直接得
到= (以下同上,仅供参考)。
思路四:由e=
x
2
+4y
2
=4m
2
与直线 y=
由根与系数关系及
可得k=

设 a=2m c=m 则b=m (m)故椭圆方程为
联立消去x,并设交点A(x
1

y
1
) 、B(x
2

y
2
)
得= =-2和 =-3y
2
2
消去化简
. 过程太繁,不再赘述。其实,这种方法在解答题和不是焦点弦的问
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