正余弦定理的应用——三角形的个数问题

题组一： 1.满足5,6,7ABBCCA的ABC的个数为______.

2.满足3,50,2ABAAC的ABC的个数为______.

3.满足45,10,70AACC的ABC的个数为______.

4.满足30,50,2ABAC的ABC的个数为______.

5.满足3,2,150ABACA的ABC的个数为______.

6.满足7,8,98ACBCA的ABC的个数为______.

7.满足16,14,45ACBCB的ABC的个数为______.

8.满足16,14,45ACBCA的ABC的个数为______.

9.满足27AC,6BC,3B的ABC的个数为______. 10.满足2AC,23BC,6B的ABC的个数为______. 题组二： 11.满足4cos5A,12cos13B,6BC的ABC的个数为______. 12.满足3sin5A,5cos13B,6BC的ABC的个数为______. 13.满足4sin5A,5sin13B,6BC的ABC的个数为______. 14.满足4sin5A,8tan15B,6BC的ABC的个数为______. 15.满足6AB,10AC,24ABCS的ABC的个数为______. 题组三：16.若满足33AC,6BC的ABC有两个,则A的取值范围为______. 17.若满足2AC,BCx,45B的ABC有两个,则x的取值范围为______. 18.若满足ACx,2BC,45B的ABC有两个,则x的取值范围为______. 19.在凸四边形ABCD中,若75ABC,2BC,则AB的取值范围是______. 20.在凸四边形ABCD中,若60,90ABC,2BC,则AB的取值范围是______.