24-25高一上·全国·课后作业
1 . 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da7b543fb56397ad57576e3e5ba0f87.png)
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2 . (1)化简:
.
(2)已知
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f5ac0079ed215dbabb372f87f20ff2.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22a132a6da403affa89f3b0abe1053f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790143a4b90d22ad0248951fd8f65e34.png)
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解题方法
3 . 已知在锐角三角形
中,
.
(1)求证:
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea023a338af513a455a62b72773b4d3c.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff09908d8a83f8349d062dc2503c5d49.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
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4 . 小明在一次研究性学习中发现,以下五个式子的值都等于同一个常数.
①
;
②
;
③
;
④
;
⑤
.
(1)请依据②式求出这个常数;
(2)相据(1)的计算结果,将小明的发现推广为三角恒等式,并证明你的结论.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8185fb64f24fb12bff6d9dd9f0217585.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6239483e4586ff85800864d794fe8fbe.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cefc2fc1ac883c86c1728b53bf1f9f1.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8318b891e1a88020977e24d8abbc4bd4.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5eeb15020bd05baf44338653914a41e.png)
(1)请依据②式求出这个常数;
(2)相据(1)的计算结果,将小明的发现推广为三角恒等式,并证明你的结论.
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解题方法
5 . (1)化简:
(
为第二象限角);
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60f28ca949e46f9f537c9a6786bfc1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e96bd826e187735177986d3ec72e3ce.png)
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21-22高一·全国·课后作业
解题方法
6 . 求证:
(1)若
,则
.
(2)
(
,
).
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65b6c42393fae47c51101713167ff71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783a94fe87b6aa7ca9258d5fbbcc3cbd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b948330b1dcbee04f126f6fafc0a989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daae56b3edaaf50673f45ab51d1e156c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99074f989e74d5ff306b4b7b7a379c1f.png)
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7 . 已知A,B,C是
的三个内角,
,若任意交换两个角的位置,y的值是否变化?并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fdb3651caa805e211bbac655bd51589.png)
您最近一年使用:0次
名校
解题方法
8 . 已知
,
.
(1)证明:
;
(2)计算:
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e3998afeb5e22d7d477db49ae16e54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa558d74cfc40ba4a8086e2c498ea8ce.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f8430767b9d93d847f26ddfdf685b9.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a5c90e958af42652796b6cd4150f56.png)
您最近一年使用:0次
2022-07-13更新
|
1059次组卷
|
3卷引用:两角和与差的正弦、余弦和正切公式
名校
解题方法
9 . (1)已知
为第三象限角,化简
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7236e0309e0e96f5643772e56a98b0f.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782aa961bf48274ae1d940a4ef87eed2.png)
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20-21高一·江苏·课后作业
10 . 已知
,
(
,
),求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c707f3f36d26a12b826891813b6fee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9e63e7fb730dfc4307400c64af3a9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
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