在
中,角A,B,C所对的边分别为a,b,c.已知
,
,
.
(1)求角A的大小;
(2)求
的值;
(3)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/818e1f2f4498eb63b4ac1abaa67732d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
(1)求角A的大小;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e2f2d7147cf1699fbfdef9cf4af74.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
23-24高一下·天津滨海新·阶段练习 查看更多[3]
天津市滨海新区田家炳中学2023-2024学年高一下学期第一次月考数学试题山东省泰安市泰山国际学校2023-2024学年高一下学期3月月考数学试题(已下线)第二章平面向量及其应用章末综合检测卷(新题型)-【帮课堂】(北师大版2019必修第二册)
更新时间:2024-03-27 13:13:00
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【推荐1】如图,在△ABC中,
,
,
,点D在AC边上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/81eb63c3-d917-4b79-a660-31144d829af8.png?resizew=133)
(Ⅰ)求BD的长;
(Ⅱ)求△BCD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98219d494e681f35cfb11e23913307d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b82fa8f506f8099ca06c36c706db479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e698764192fd451e4e873d2a9a30639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26f3752009c745e9222bd4641274812.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/81eb63c3-d917-4b79-a660-31144d829af8.png?resizew=133)
(Ⅰ)求BD的长;
(Ⅱ)求△BCD的面积.
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【推荐2】在
中
,
,再从条件①、条件②这两个条件中选择一个作为已知,求:
(1)
的值;
(2)
的值和
的面积.
条件①:
条件②:
.
注:如果选择条件①和条件②分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9f4306f52faa11c8f4906bcc68994e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f85678de64dcc06b3efcdb6a127170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2888481afd63ac64ffd3e4192fae96fe.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.
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【推荐3】在锐角
中,角
,
,
所对的边分别为
,
,
,设
为
的面积,满足
.
![](https://img.xkw.com/dksih/QBM/2022/3/27/2945177714991104/2946918225051648/STEM/ca54621e-b985-46a4-812a-ed8dd367023d.png?resizew=151)
(1)求角
的大小;
(2)求
取值范围;
(3)如图所示,当
取得最大值时,在
所在平面内取一点
,使得线段
,
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388596c09d39b4658d5661761055f393.png)
![](https://img.xkw.com/dksih/QBM/2022/3/27/2945177714991104/2946918225051648/STEM/ca54621e-b985-46a4-812a-ed8dd367023d.png?resizew=151)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2526197224eea5878e62d46952cd669.png)
(3)如图所示,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2526197224eea5878e62d46952cd669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ed75e65e7374c38ffb1f75259a8beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3b3d73ff96882a0fb4d025ecc5669d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
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【推荐2】已知函数
.
(1)求函数
的最小正周期及单调递增区间;
(2)在△
中,
,若函数
的图像经过点
,求△
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8416265c5aa38e603bc319ad078b78.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c084c43065ec74cb2e9098a152b25e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37870eceec423f24c06c03d22d57485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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【推荐1】已知
的内角
所对的边分别为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03dbd23a0fad6d81cfa3f889d8312bde.png)
(1)若
,求
的值;
(2)若
,求
的面积.
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03dbd23a0fad6d81cfa3f889d8312bde.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f5cc229f9af1a56e2c187bf4f6c57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daea073d2e1c02defc9fe9b115914355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】已知
的内角
,
,
所对的边分别是
,
,
,其面积
.
(1)若
,
,求
.
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/a88601e9cbf489600ac0b43158bf328f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39900a2d790732077ffb571427a134fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47180d4ed24ac5606c225f884e8aea9a.png)
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【推荐3】在
中,内角
所对的边分别为
,向量
,且
.
(1)求角
的大小;
(2)若
,
①求
面积的最大值;
②求
的取值范围.
![](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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/245f9dfb9920e5f07e3779e67eb6b406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
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