1 .
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee12085722c57f901d36be283bd0908.png)
A.![]() | B.![]() | C.3 | D.![]() |
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解题方法
2 . 已知
中,角A,B,C的对边分别为a,b,c,
,
.
,求
的值;
(2)过点B作BC的垂线l,D为l上一点.
①若
,
,求线段AD的长;
②若
且D点在
外部,求线段AD长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb7a6885bd1c82fe831172732e056db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfcf0758cc82e10edb355fc7599692a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5336bc8649d12e131786a5bcd26341f4.png)
(2)过点B作BC的垂线l,D为l上一点.
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b0a85610ed7cfadf817349d3fceeb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0c2c31518f8cdaa4ed19854d104956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2卷引用:江苏省邗江中学2023-2024学年高一下学期5月阶段性测试数学试题
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3 . 已知
的面积为3,在
所在的平面内有两点
,满足
,
,记
的面积为
,则下列说法错误的是( )
![](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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1cf8b1d49fe101d3dc0a25ce71ad7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3fd9217f26f1a7506a847edcfd53ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
A.![]() ![]() ![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 已知锐角
满足
,
.
(1)求
的值;
(2)求
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b291445e61f53061200d5d0d31f678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ddab84f6c20c4f398b59a815ee2aec.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ac5ed81371243d3b7b69b21c6f0611.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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5 . 已知函数
(
)的图象关于直线
对称,若存在
,使得
(其中
,
),则
的最小值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d566cc50283930e80764affd45c5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8973254e0eeb29a0add0e4677ce5337b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b965dbffd61b1e3e3c6f3ecd00b377e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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解题方法
6 . (1) 化简 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a896a89ede966ea5b07e73cbf6dde8.png)
(2) 若
,且
、
都是锐角,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a896a89ede966ea5b07e73cbf6dde8.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a377adce5d2bed23c30ecbbf887934e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfea1e888676a13ad69c72fba0405ea.png)
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7 . 已知向量
,
.
(1)若
,求
;
(2)若
,
①求
;
②已知
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a67711170219688d03144200ae396e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d5de571daa349850dbc7fc98b7b990a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44726b1d833cfef78c52b027817a69ce.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032f8f657f9163ebc64db95d214f4091.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d394016b9fecac73f38cbc4ff18dee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f90c4754e6b6fc862d72943fb35569.png)
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2卷引用:江苏南通市海门中学2023-2024学年高一下学期5月份学情调研数学试题
名校
解题方法
8 . 已知锐角
的内角A,B,C所对的边分别为
,向量
,
,且
.
(1)求角C的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3dee7a538f9e9d3f4733b5fb957a945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd5fed8e2479379deb00e116be29b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a794bdf8fa3fa34bc3d6d165cb07f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4d070c5939bb0ec4a9d40d7e3c7d3f.png)
(1)求角C的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
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9 . 如图,
的角
所对的边分别为
,
,且
,若点
在
外,
,则下列说法中正确的有( )
![](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/f4c184944d61a72153f059bdef8a78c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4f5cdf18c053283a4122005414b825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dfa79ff9152599df35e483d6798f275.png)
A.![]() |
B.![]() |
C.四边形![]() ![]() |
D.四边形![]() ![]() |
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解题方法
10 . 在
中,
,
是边AC上一点,且
,
,若
为钝角,则当
最小时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e7ecde89911239d0972cfc1406b57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75a347fc94b884eda1e1e7848e35015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/591f688c933ffca281b3f78de6f3ae0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
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