1 . 下列命题中:①p:
,
;②q:
,
;③r:
,
;④s:“在
中,若
,则
”的逆命题,正确的是______ .(填写所有正确的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1c77d129b56255baf3d76eb2a6c2ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2939abf9f1755ea304eeb1e73063cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a9a0d96bccbba5f8b9af0c231a0421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f851f7b4f5386142f46c899bbb58b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8166e75ef9ebda44ee6c4f23209acca3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
您最近一年使用:0次
2023-01-08更新
|
65次组卷
|
3卷引用:吉林省辽源市田家炳高级中学友好学校第七十二届2021-2022学年高三上学期期末考试数学(理)试题
名校
解题方法
2 . 在三角形
中,
的三个内角
的对边分别是
,则下列给出的五个命题:
①若
,
,且
与
夹角为锐角,则
;
②若
,则
为等腰三角形;
③点O是三角形ABC所在平面内一点,且满足
,则点O是三角形ABC的重心;
④
,
,若
,则
为锐角三角形;
⑤若
为
的外心,
.
其中正确的命题是:_______________________ .(填写正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb506d2dc93b91a800f049fde9a6e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034b7e7a1cfe961a7f593bc1582b96cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e04b733c818593ed500c5fc9ccb2397.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e02e6946143207c276f7430942c1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③点O是三角形ABC所在平面内一点,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec09a159d6760fca8ae5966bf97b4e49.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ebf59ed78b999efc06d97bc89038fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8592806a72eee278ce1086ea8145d096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1e552a1451270703a86e592d7dd656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9cc0ee2711b877dfef17bc89b410e2.png)
其中正确的命题是:
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解题方法
3 . 从下列四个条件①
;②
;③
;④
中选出三个条件,能使满足所选条件的
存在且唯一,你选择的三个条件是___________ (填写相应的序号),所选三个条件下的c的值为___________ .(填对应所选问题的解).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18617ef38a8df95ff3d66fa811fd56c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61676d5ede7f4b50e93be03ecdcedd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34db466a752f74c6002ac7a4d3f0114d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8653af649d2a1b22f50c8529ef43136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2021-05-21更新
|
164次组卷
|
2卷引用:陕西省宝鸡市千阳中学2021届高三下学期第一次适应训练理科数学试题
4 . ,现有下列命题:①已知
,
,如果
与
的夹角为锐角,则
的取值范围是
或
;②函数
的图象的对称中心的坐标是
;③在
中,A、B、C所对的边分别为a、b、c若
,则
为等腰三角形;④在
中,A、B、C所对的边分别为a、b、c若
,则
为钝角三角形;⑤在
中,A、B、C所对的边分别为a、b、c若
,则
;其中正确的命题是______________ (请填写相应序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0946f15d5ebf9df8a388594c3e0c61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42d2cf5d22d69cacc5a6c7e85b30165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce31f186f3be3234486a24e133b9100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81ef6d39f2f6734075b3ee48b89b40c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf0575c2079d39daf8f3dbd21277a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6980ab948195a337a2fd4cc2cc8f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57067c1145bbe8c6cc231d7e74727032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166f792a201a8ff4a7c73aa5ec3aa026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374b7531bf11005c84bce47d8d6d4c97.png)
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5 . 数学老师准备命制一道解三角形的练习题,完成了题目部分信息如下:在
中,
、
、
分别是角
、
、
的对边,已知
,
,求边
.显然缺少条件,若他打算补充
的大小,并使得
只有一解,那么
的可能取值是______ .(只需填写一个合适的答案)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/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/e54a36173cd9b7b28e91619d715cb569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1892446e9f5c057a6d72a64065d01ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 从下列四个条件①
;②
;③
;④
中选出三个条件,能使满足所选条件的
存在且唯一,你选择的三个条件是____ (填写相应的序号),所选三个条件下的
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61676d5ede7f4b50e93be03ecdcedd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18617ef38a8df95ff3d66fa811fd56c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34db466a752f74c6002ac7a4d3f0114d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8653af649d2a1b22f50c8529ef43136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2020-06-22更新
|
973次组卷
|
5卷引用:北京市东城区2020届高三第二学期二模考试数学试题
北京市东城区2020届高三第二学期二模考试数学试题(已下线)专题6.5 平面向量单元测试卷(测)-2021年新高考数学一轮复习讲练测(已下线)专题6.6 第六章《平面向量》综合测试卷(A卷基础篇)-2020-2021学年高一数学必修第二册同步单元AB卷(新教材人教A版,浙江专用)吉林省长春市第二实验中学“BEST合作体”2020-2021学年高一下学期期末考试数学试题(已下线)模块四 三角函数、平面向量与解三角形-1
名校
7 . 张老师整理旧资料时发现一题部分字迹模糊不清,只能看到:在
中,a,b,c分别是角A,B,C的对边,已知
,
,求边c,显然缺少条件,若他打算补充a的大小,并使得c只有一解,a的可能取值是______
只需填写一个适合的答案
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60de99e211b7c60ef4ebce335e606536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7da372d55602bd7216b8e7cdedad265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
您最近一年使用:0次
2019-11-12更新
|
333次组卷
|
3卷引用:2019年上海市宝山区高三上学期期末教学质量监测(一模)数学试题
名校
8 . 已知
中,角
、
、
所对的边分别是
、
、
且
,
,有以下四个命题:
①
的面积的最大值为40;
②满足条件的
不可能是直角三角形;
③当
时,
的周长为15;
④当
时,若
为
的内心,则
的面积为
.
其中正确命题有__________ (填写出所有正确命题的番号).
![](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/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df6bb52902ef2cb7ba7ef1a681cdb1a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
②满足条件的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b9446d7b31f0d6e044cf99deeb20aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b9446d7b31f0d6e044cf99deeb20aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd2981bf2261343f905ec1b5355a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
其中正确命题有
您最近一年使用:0次
2018-03-29更新
|
1328次组卷
|
4卷引用:四川省德阳市2018届高三二诊考试理科数学试题
名校
9 . 以下说法正确的是_______ .(填写所有正确的序号)
①若两非零向量
,若
,则
的夹角为锐角;
②若
,则
,反之也对;
③在
中,若
,则
,反之也对;
④在锐角
中,若
,则
①若两非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbc0945b4e1962e66f6f7e7f6af235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
③在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
④在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79fba1cd42684bd8978cede10fb311e1.png)
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解题方法
10 . 已知下列命题:
①命题:“
,
”的否定是:“
,
”;
②若
,则
,
;
③若
,则
,
;
④等差数列
的前
项和为
,若
,则
;
⑤在
中,若
,则
.
其中真命题是____ .(只填写序号)
①命题:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb49f7407b400d314e55972e4376711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c2b06591c1ec3fdea6cb1bfe3d6bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d374ca687bd81e60d70bf24c99fb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a51e986a81ffb19d2fd7a5ac63e251.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b586d5da50edf2b5d624b1f3368570eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d88a41a8c39757a1bbcc8ae9052c67.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a81a37e05f73b403777cb6efdb2ca3a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a28e0ab7243fc8133982902400c531f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d6cd6c41f47a05d68ba4c933dd1761.png)
④等差数列
![](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/eb0abedd59476f8793d5a8948590a70c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa74fabc4dc46818ac65272d7a7db33d.png)
⑤在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca51be437b1a97ca92aa1159ab71102c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
其中真命题是
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