名校
解题方法
1 . 已知等比数列
的前
项和为
,且
也是等比数列.
(1)求
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45bca9e6391d04f934a02d107530f486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90cf5e3d447064a7350c46e0fd8390da.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88040b8e3c6a91e09a0ed3ee7541e136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-06-10更新
|
834次组卷
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2卷引用:山西省太原市2024届高三模拟考试(三)(5月)数学试题
2 . 已知定义域是
的函数
满足对于任意
都有
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933e2d7783706b67bf554d6b3efbd2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0911056b50a9a035d772f9b1d9e114f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75a8539c84385401b5663e5e5385de8c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-10更新
|
443次组卷
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2卷引用:山西省太原市2024届高三模拟考试(三)(5月)数学试题
3 . 若等比数列
(
)单调递增,且
,
,
成等差数列,则
的公比为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daaf480839c9a4708d434c6bdb4f846b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0462c9dc4a0bd08a0ec1cc07f1d2f3e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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名校
解题方法
4 . 在
中,内角A,B,C的对边分别为a,b,c,且
,点D是边CA上的一点,
,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d17ced728ec33cf0a97f38fb20b17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45fb9a3d61c62c86cde849e519e6bb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea02cc9a00a7db2eae50db3bdd10892f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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名校
解题方法
5 . 在
中,内角A,B,C的对边分别为a,b,c,且
.
(1)求角B的大小;
(2)若
为锐角三角形,且
,求
的面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c4705285d346b1294ac49677dd4aba.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd07e8a88a2413704e90721ab49315f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
6 . 已知数列
是单调递增的等比数列,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc44f646f6e3cd6921f50c3903c86d3.png)
________ ,数列
的公差为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4db7b6886fc235329e8bc0a82845e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37933cfc60b4bd29f1684687ddd2cbd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc44f646f6e3cd6921f50c3903c86d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4711944aa361bd9f2ed566b24c6888ec.png)
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解题方法
7 . 钝角
中,角
的对边分别为
,
,
,若
,则
的最大值是_________ .
![](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/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/c3f902a4590e58e25a87a7dc4d0cf710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514976d9bf664f75c09e72d29ddb3e1d.png)
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8 . 已知数列
对任意
均有
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed48c3e5c53eba20c2e262b7d2c09bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3fe376a528e86dcef9c94be6f6def85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85444874c705666de9488286d3d61dd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5509ec6c75afb15cf021064e3df74845.png)
A.530 | B.531 | C.578 | D.579 |
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名校
解题方法
9 . 在
中,角
,
,
所对的边分别是
,
,
,已知
,
.
(1)求
;
(2)作角
的平分线,交边
于点
,若
,求
的长度;
(3)在(2)的条件下,求
的面积.
![](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/819c7a62f0c3f64f53370d19db912c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d09c1c977739b265a62e8706657bbe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721e29b775e696045f44a4b1e7f74ef2.png)
(2)作角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(3)在(2)的条件下,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-05-19更新
|
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2卷引用:山西省长治市上党区第一中学等校2023-2024学年高一下学期4月期中联考数学试题
10 . 记数列
的前
项和为
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f7eb839ec76eec4bafd3f1658a27d.png)
_______________ .
![](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/f00395d6848e19e27f7eae798234dcd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f7eb839ec76eec4bafd3f1658a27d.png)
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2024-05-14更新
|
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3卷引用:山西省晋城市第一中学校2024届高三下学期高考模拟预测数学试题