配套习题-利用构图法巧证不等式及最值问题 -【青果学院】

本课配套习题挑战模式1/5

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单选题

难度系数：

1.

如图，在方格纸（每个小方格都是边长为1个单位长度的正方形）中，我们称每个小正方形的顶点为格点，以格点为顶点的图形称为格点图形，图中的△ABC为格点三角形，它的三边a，b，c的大小关系是（　　）

A:
b＜c＜a

B:
a＜c＜b

C:
c＜b＜a

D:
b＜a＜c

提示1：PHA+55Sx5bey55+l5q+P5Liq5bCP5pa55qC86YO95piv6L656ZW/5Li6MeS4quWNleS9jemVv+W6pueahOato+aWueW9ou+8jOaJgOS7peWFiOagueaNruWLvuiCoeWumueQhuWIhuWIq+axguWHumHjgIFi44CBY++8jOWcqOi/m+ihjOavlOi+g+W+l+WHuumAiemhuTwvcD4=
答案：Qw==
PGRpdj7op6PvvJrmoLnmja7lt7Lnn6XmoLzngrnkuInop5LlvaLvvIznlLHli77ogqHlrprnkIblvpc8L2Rpdj48ZGl2PuaJgOS7pTxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8wMS9GMy9yQkFDRkZNTmFYMlNjYWNJQUFBQ3pXQnh1QTAwMjUucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzAxL0YzL3JCQUNGRk1OYVgyU2NhY0lBQUFDeldCeHVBMDAyNS5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSIxNzciPjwvZGl2PjxkaXY+4oi0Y++8nGLvvJxhLjwvZGl2Pg==

本课配套习题挑战模式2/5

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单选题

难度系数：

2.

如图，将△ABC放在正方形网格图中（图中每个小正方形的边长均为1），点A，B，C恰好在网格图中的格点上，那么△ABC中BC的高是（）

A:
√102

B:
√104

C:
√105

D:
√5

提示1：PHA+5qC55o2u5omA57uZ5Ye655qE5Zu+5b2i5rGC5Ye6QULjgIFBQ+OAgUJD55qE6ZW/5YWI5Yik5pat4oigQkFD55qE5bqm5pWw77yM5YaN5qC55o2u5LiJ6KeS5b2i55qE6Z2i56ev5YWs5byP5YiX5Ye65pa556iL6L+b6KGM6K6h566X5Y2z5Y+vPGJyPjwvcD4=
答案：QQ==
PHA+PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzA0LzNFL3JCQUNGRk1PN3Z1eUFuRXhBQUFSd0VUXzVKTTI4Mi5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMDQvM0UvckJBQ0ZGTU83dnV5QW5FeEFBQVJ3RVRfNUpNMjgyLnBuZyIgYWx0PSIiIHN0eWxlPSJ3aWR0aDogMTU3cHg7IGhlaWdodDogMjQ0cHg7Ij48YnI+PC9wPg==

本课配套习题挑战模式3/5

返回课程

单选题

难度系数：

3.已知a、b、c均为非负实数，求证：

下面有小明和小丽的解题思路，你赞同哪个？（）

A: 小明：构造边长为a+b+c的正方形，根据两点之间线段最短的知识即可解答

B: 小丽：尝试用平方去根号

提示1：IOaehOmAoOi+uemVv+S4umErYitj55qE5q2j5pa55b2i77yM5qC55o2u5Lik54K55LmL6Ze057q/5q615pyA55+t55qE55+l6K+G5Y2z5Y+v6Kej562U
答案：QQ==
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

本课配套习题挑战模式4/5

返回课程

单选题

难度系数：

4.已知a，b均为正数，且a+b=2，则

的最小值为（）

A:

B:

C: 13

D: 23

提示1：IOeUqOS7o+aVsOeahOaWueazleaxglXnmoTmnIDlsI/lgLzovoPnuYHvvIzlgJ/liqnlm77lvaLmsYJV55qE5pyA5bCP5YC8
答案：QQ==
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

本课配套习题挑战模式5/5

返回课程

单选题

难度系数：

5.

设a、b、c、d为正实数，a＜b，c＜d，bc＞ad，有一个三角形的三边长分别为, 则此三角形的面积为（）

A:

B:

C:

D:

提示1：PHA+5pi+54S25LiN6IO955So6Z2i56ev5YWs5byP5rGC5LiJ6KeS5b2i6Z2i56evLCDku47mnoTpgKDlm77lvaLkurrmiYvvvIzlsIblpI3mnYLnmoTmoLnlvI/orqHnrpfovazljJbkuLrlh6DkvZXpl67popjliqDku6Xop6PlhrM8L3A+
答案：QQ==
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本课配套习题挑战模式1/5

本课配套习题挑战模式2/5

本课配套习题挑战模式3/5

本课配套习题挑战模式4/5

本课配套习题挑战模式5/5

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