由倍角公式
,可知
可以表示为
的二次多项式.对于
,我们有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2104a78b37da636d13e09e5bdb2be10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b752c5b70e8bef980994bfbb88df7cbc.png)
,可见
也可以表示成
的三次多项式.以上推理过程体现了数学中的逻辑推理和数学运算等核心素养,同时也蕴含了转化和化归思想.
(1)试用以上素养和思想方法将
表示成
的三次多项式;
(2)化简
,并利用此结果求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c91d0d02d04a3f1b777b0d86e2372e46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5ff5a2e7663e6a21ccea3149a10113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e039219978242ec380e66de6cf9bab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2104a78b37da636d13e09e5bdb2be10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b752c5b70e8bef980994bfbb88df7cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706585b7d68cd2b99f2f671328c318a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e039219978242ec380e66de6cf9bab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
(1)试用以上素养和思想方法将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff1dd2db6f898d70a9adef9a0f2ffad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06680427974d0fb0ca07d306f92d505a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1064e3198a310f74672b7211ba74071.png)
更新时间:2024-05-22 20:49:26
|
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【推荐1】在①a=7;②csinA=4;③
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问题:是否存在锐角三角形ABC,它的内角A,B,C的对边分别为a,b,c,且c=8,
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适中
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名校
解题方法
【推荐2】(1)已知
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b6a343f3c99fdb49698d98e2e60bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0608f6bdf1ab77c08376224a2a8aef87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(2)证明:
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适中
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解题方法
【推荐1】在
中,
,再从条件①、条件②、条件③这三个条件中选择一个作为已知,求:
(1)
的值;
(2)
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条件①:
边上的高为
;条件②:
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注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f862bcd31175a2edf56bc2d6aa9eb5.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e2f2d7147cf1699fbfdef9cf4af74.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8459bf9ea9f3e95c6e006a1a2fc71f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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适中
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(2)求
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适中
(0.65)
【推荐2】求下列各式的值:
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(2)
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(3)
;
(4)
;
(5)
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(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd43cae6b8b0f13024b093d6167de58f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd577259d75f70140b2d36677893991.png)
(3)
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(4)
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(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493ad8638f013c9c635b2e2594c7cc2f.png)
(6)
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(7)
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(8)
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解答题-问答题
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适中
(0.65)
解题方法
【推荐1】已知函数
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(1)求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d522087029994c278adcae15bdff1b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9088e31e00eaa4e95c1e6717b0c82cdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d1b26f323aac9841bc2f73fc2f90f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83637c4de2d8f60e6f343c38dc4e5ba2.png)
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