乙题: 解:(1)因为反比例函数的图象经过点 有.················································································································ 2分 .····················································································································· 3分 所以反比例函数的解析式为.············································································· 4分 (2)当为一.三象限角平分线与反比例函数图像的交点时. 线段最短.············································································································ 5分 将代入.解得.即..····················· 6分 .··········································································································· 7分 则.··········································································································· 8分 又为反比例函数图像上的任意两点. 由图象特点知.线段无最大值.即.·················································· 9分 查看更多

 

题目列表(包括答案和解析)

甲题:已知x1、x2是关于x的一元二次方程x2-2x+a-1=0的两个实数根
(1)若x1+2x2=3-
2
,求x1、x2及a的值;
(2)若s=ax1x2+3x1+3x2-3a,求s的取值范围.
乙题:如图,在Rt△ABC中,∠C=90°,AC:AB=
3
:2

(1)求BC:AC的值;
(2)延长CB到点D,使DB:DC=2:3,连接AD.
①求∠D的度数;②若AD=12,求△ABC三边的长.
解:我选做
题.

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(2013•温州)某校举办八年级学生数学素养大赛,比赛共设四个项目:七巧板拼图,趣题巧解,数学应用,魔方复原,每个项目得分都按一定百分比折算后记入总分,下表为甲,乙,丙三位同学得分情况(单位:分)
   七巧板拼图  趣题巧解  数学应用  魔方复原
 甲  66  89  86  68
 乙  66  60  80  68
 丙  66  80  90  68
(1)比赛后,甲猜测七巧板拼图,趣题巧解,数学应用,魔方复原这四个项目得分分别按10%,40%,20%,30%折算△记入总分,根据猜测,求出甲的总分;
(2)本次大赛组委会最后决定,总分为80分以上(包含80分)的学生获一等奖,现获悉乙,丙的总分分别是70分,80分.甲的七巧板拼图、魔方复原两项得分折算后的分数和是20分,问甲能否获得这次比赛的一等奖?

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(2012•峨边县模拟)甲题:关于x的一元二次方程x2+(2m+1)x+m2=0的实数解为x1和x2
(1)求m的取值范围.
(2)当
x
2
1
-
x
2
2
=0时,求m的值.
乙题:如图,在△ABC中,AC=AB,以AB为直径的半⊙O交AC于点E交BC于点D,连AD、BE.
(1)求证:△BEC∽△ADC;
(2)BC2=2AB•CE.

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某校举办八年级数学素养大赛,比赛共设四个项目:七巧板拼图、趣题巧解、数学应用、魔方复原,每个项目得分都按一定百分比折算后计入总分。下表为甲、乙、丙三位同学的得分情况(单位:分)

 
七巧板拼图
趣题巧解
数学应用
魔方复原

66
89
86
68

66
60
80
68

66
80[来源:学,科,网]
90
68
(1)比赛后,甲猜测七巧板拼图、趣题巧解、数学应用、魔方复原这四项得分分别按10%,40%,20%,30%折算计入总分,根据猜测,求出甲的总分;
(2)本次大赛组委会最后决定,总分为80分以上(包括80分)的学生获一等奖。现获悉乙、丙的总分分别是70分,80分,甲的七巧板拼图、魔方复原两项得分折算后的分数和是20分,问:甲能否获得这次比赛的一等奖?

查看答案和解析>>

某校举办八年级数学素养大赛,比赛共设四个项目:七巧板拼图、趣题巧解、数学应用、魔方复原,每个项目得分都按一定百分比折算后计入总分。下表为甲、乙、丙三位同学的得分情况(单位:分)

 

七巧板拼图

趣题巧解

数学应用

魔方复原

66

89

86

68

66

60

80

68

66

80

90

68

(1)比赛后,甲猜测七巧板拼图、趣题巧解、数学应用、魔方复原这四项得分分别按10%,40%,20%,30%折算计入总分,根据猜测,求出甲的总分;

(2)本次大赛组委会最后决定,总分为80分以上(包括80分)的学生获一等奖。现获悉乙、丙的总分分别是70分,80分,甲的七巧板拼图、魔方复原两项得分折算后的分数和是20分,问:甲能否获得这次比赛的一等奖?

 

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