某食品厂生产的一种巧克力糖每千克成本为24元,其销售方案有如下两种:
方案一若直接给本厂设在杭州的门市部销售,则每千克售价为32元,但门市部每月需上缴有关费用2400元.
方案二若直接批发给本地超市销售,则出厂价为每千克28元.若每月只能按一种方案销售,且每种方案都能按月销售完当月产品,设该厂每月的销售量为x千克.
(1)如果你是厂长,应如何选择销售方案,可使工厂当月所获利润最大?
(2)厂长看到会计送来的第一季度销售量与利润关系的报表(如下表)后,发现该表填写的销售量与实际有不符之处,请找出不符之处,并计算第一季度的实际销售总量.
| 一月 | 二月 | 三月 |
销售量(kg) | 550 | 600 | 1400 |
利润 | 2000 | 2400 | 5600 |
考点分析:
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阅读材料,解答问题:
命题:如图,在锐角△ABC中,BC=a,CA=b,AB=c,△ABC的外接圆半径为R,则
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=
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=
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=2R.
证明:连接CO并延长交⊙O于点D,连接DB,则∠D=∠A.
因为CD是⊙O的直径,所以∠DBC=90°,
在Rt△DBC中,sin∠D=
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=
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,
所以sinA=
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,即
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=2R,
同理:
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=2R,
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/8.png)
=2R,
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/9.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/10.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/11.png)
=2R,
请阅读前面所给的命题和证明后,完成下面(1)(2)两题:
(1)前面阅读材料中省略了“
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/12.png)
=2R,
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/13.png)
=2R”的证明过程,请你把“
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/14.png)
=2R”的证明过程补写出来.
(2)直接运用阅读材料中命题的结论解题,已知锐角△ABC中,BC=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/15.png)
,CA=
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/16.png)
,∠A=60°,求△ABC的外接圆半径R及∠C.
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999021_ST/images17.png)
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如图,在△ABC中,已知DE∥BC,AD=4,DB=8,DE=3.
(1)求
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的值;
(2)求BC的长.
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作图题:
已知:如图,⊙O及其外的一点P.
求作:⊙O的切线PQ(不写作法,保留作图痕迹).
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(1)化简:
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999018_ST/0.png)
;
(2)计算:2
-1-tan60°+(
![manfen5.com 满分网](http://img.manfen5.com/res/CZSX/web/STSource/20131103000158118999978/SYS201311030001581189999018_ST/1.png)
-1)
+
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.
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如图,设半径为1的半圆⊙O,直径AB,C、D为半圆上的两点,P点是AB上一动点,若AC的度数为
96°,BD的度36°,则PC+PD的最小值是
.
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