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1 .
的内角
,
,
所对的边分别为
,
,
.已知
,且
,有下列结论:
①
;
②
;
③
,
时,
的面积为
;
④当
时,
为钝角三角形.
其中正确的是__________ .(填写所有正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90929097f9e4ec1b521a224aaa485d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585d85a95ae83e6b7e4556eb63f3eeb6.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18dccba7bc301e4913b1a4856afae466.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d697d914ec99d6edb5a6ab7efe1c5686.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15a13b4190ac3d5feaee27a4c97b21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be706891a18cdd3ae6d514d34990b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530be0354ac54e554421d9c82e5070e4.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58303bdbbdf9b78308135ee1ed413d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
其中正确的是
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2017-12-05更新
|
1407次组卷
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6卷引用:广西阳朔中学2018届高三第三次月考数学(理)试题
名校
解题方法
2 . 已知△ABC的三个内角A,B,C的对应边分别为a,b,c,且
.则使得sin2B+sin2C=msinBsinC成立的实数m的最大值是 ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debde5cc5728cd4f27f3a94121d34e4e.png)
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2017-12-01更新
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1222次组卷
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3卷引用:广西桂林中山中学2017-2018学年高二上学期段考数学(理)试卷
广西桂林中山中学2017-2018学年高二上学期段考数学(理)试卷【校级联考】天津市六校联考(静海一中、杨村一中、宝坻一中等)2018届高三(上)期末模拟考试数学(理)试题(已下线)压轴小题2 正余弦定理在平面图形中的应用
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3 . 在
中,
,
,
,线段
在斜边
上运动,且
,设
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa8cee7d2463f6f7d352e8b65f47cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5817084b1e3498be0566f31064266387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e1f4f255d191786f7d330d278868c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901a7eda97d6a307db76c4fb196ba3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade8e6381e3f994a973adef5bfd9c71c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
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2017-09-17更新
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1031次组卷
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3卷引用:广西壮族自治区玉林高中2017届高三高考冲刺模拟(十)数学(理科)试题
4 . 在
中,角
所对的边分别为
,且满足
,则
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6889ccfaee73675eefac3c1be46692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e67880b9ad191e63ab17183813bf1ffb.png)
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2017-05-17更新
|
1799次组卷
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3卷引用:广西南宁市第三中学2017-2018学年高二上学期期中考试数学试题
名校
5 . 在
中,
分别是角
的对边,已知
,若
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9af20acb13fd75efd542ce2e05ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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2017-04-15更新
|
2660次组卷
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10卷引用:广西玉林高中2017届高三高考预测五数学(文)试题
广西玉林高中2017届高三高考预测五数学(文)试题2017届黑龙江省哈尔滨市第三中学高三二模考试数学(理)试卷(已下线)2018年9月9日《每日一题》一轮复习【理】-《每日一题》(已下线)2018年9月9日《每日一题》一轮复习【文】- 每周一测(已下线)2019年9月8日《每日一题》2020一轮复习(文)——每周一测(已下线)2019年9月8日《每日一题》2020一轮复习(理)——每周一测江苏省扬州市邗江区2018-2019学年高一下学期期中数学试题安徽省亳州市利辛县阚疃金石中学2019-2020学年高一上学期第三次月考数学试题陕西省西安中学2020-2021学年高三上学期第二次月考数学(文)试题黑龙江省七台河市勃利县高级中学2021-2022学年高一下学期期中考试数学试题
6 . 在
中,
,
为外心,且有
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193f32945ff527d1db7616c4eaee8d4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5490c6755b18036dc2e6fdae33e23199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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7 . 已知
为平面区域
:
内的整点
(
,
均为整数的点)的个数,其中
,记
,数列
的前
项的和为
,若存在正整数
,
,使得
成立,则
的值等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72f2cbabcb955a433e99bf0ee8ec020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52aec3ab5384af5545a4a84cef49e507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1933b7c3ace69622339353431c519b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437023113759ebd75a8af7ffd59e258e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2dc1217cc8390196733256c787a3bb.png)
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名校
解题方法
8 . 已知
为平面区域
:
(
)内的整点(
,
均为整数的点)的个数,记
,数列
的前
项和为
,若对于
,
恒成立,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d4fc8faefb26b233d4aa9dbef043aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d72f2cbabcb955a433e99bf0ee8ec020.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d1ed1408f0dc1292f1d92a400aaa96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d83b339538558627fec1760fa8aad9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3557f60df2c58102f551a043291ece0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72620c113a6fe83273803a9ac24baa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d3bf61d3f677a5e817fe0e49dcd95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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9 . 已知双曲线
的左、右焦点分别为
,
为双曲线
上的一点,若
,
,则双曲线
的离心率是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dca0cc0b9fa647d6e486a862a033c75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bd8b3a4f85362049cf6f38a0fbc81f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2014高三·全国·专题练习
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10 . 设x∈R,f(x)=
,若不等式f(x)+f(2x)≤k对于任意的x∈R恒成立,则实数k的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3dec748ff43ee1613f7fbaa896953e.png)
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