1 . 已知向量
,
,定义运算
,同时定义
.
(1)若
,求实数
的取值集合;
(2)已知
,求
;
(3)已知定义域为
的函数
满足
为奇函数,
为偶函数,且
时,
,是否存在实数
,使
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7ec6dba44a83ae69146c26a2eec325c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66717aa3e7a771427c1d4433c77a5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4817c9821c3c5268e665a3ebcfe2e9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153f8261059b286d175e53adb666d0bd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e993a236a70e4a094013a28c07079f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237b1a6f3e6ee0ef92b4aef7bffe58ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5285f8cfbab2baf73267d7649a58ac.png)
(3)已知定义域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91340ce6d32493c33527a32c2d448896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffde73ff7d3cd5125eb8d8a17a9f01c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994dcf841d356002fcebaed37497013c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de03de9f4bea859252f0158b32acf378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb0b435b3f1a00ee1df0d02384d6e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2 . 已知函数
,
(1)若
,函数
在区间
上单调递增,求
的取值范围;
(2)若
,
,求函数
在
上的值域;
(3)若
,函数
在
内没有对称轴,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d58ebc68f8481976fdcbf3535c4527.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590e165e407098fcac9f871beb047dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a908cff3963ed5281930402c853b0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dcee772e6187ac31d7f8d69b0487000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d47dbed3333b180fce58a6d9e440f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d47dbed3333b180fce58a6d9e440f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
名校
解题方法
3 . 在
中,
,
,
.点
为
所在平面上一点,满足
(
、
且
).
(1)若
,用
,
表示
;
(2)若点
为
的外心,求
、
的值;
(3)若点
在
的角平分线上,当
时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d81d732204a3c2384a27606f858677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec7ea9a9bf46fe5dfe7bdb028289bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3276b5e12396fc4753eb3f8254f9fa68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d100f6eb4bfc0b0191c12d5ab35d0d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03698c9b972ce8c2a569195d00d0312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbaeae7045ad94158cdf5ae97073bc17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34bf00aeba15bce2cdee8ab487388dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ce17f8f08bc11bd78885c80223466c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21306b0138363c1cb99ee8c1ecc5a486.png)
您最近一年使用:0次
名校
4 . 如图,点
是
重心,
、
分别是边
、
上的动点,且
、
、
三点共线.
,将
用
、
、
表示;
(2)设
,
,问:
是否是定值?若是,求出该定值;若不是,请说明理由;
(3)在(2)的条件下,记
与
的面积分别为
、
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3488f90ce6ca9c1d0d8d8a8168e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4b9dda541ca792577227f3014ddc6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4731335d26e45bf7041b36c5f0a1121d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d098ac2229ff7bb4ee0848f768c53896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b6987d9d311905b9dd7aeaddab745d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f0b84ee4ed90face0993d4f4dda379.png)
(3)在(2)的条件下,记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1f0417d8269f01d8e0bc1a8756e2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a093d690c27c7e19a52264511d6f87.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,在边长为4的正三角形
中,
分别为
上的两点,且
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d03acb29a5812acad760d564d6c84be.png)
,
相交于点P.
的值;
(2)试问:当
为何值时,
?
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cca04b2a2b61d62a809776670a60c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc553ab786de1d90a1883911ada167ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d03acb29a5812acad760d564d6c84be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699f8cdb31abb7223e6c46a4363fc691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/268544817735d20ffbceef3b26db5dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5f1c2b555afad1437765d55746c1924.png)
(2)试问:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e22ba3e6e1c1d6b12d9b8baa8d1f02.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb330cc355b80d5f299a41f1a7e4e81.png)
您最近一年使用:0次
2024-06-08更新
|
214次组卷
|
2卷引用:安徽省金榜教育2023-2024学年高一下学期5月阶段性大联考数学试题
6 . 如图,点
分别是矩形
的边
上的两点,
,
.
是线段
靠近
的三等分点、
是
的中点,求
;
(2)若
,求
的范围;
(3)若
,连接
交
的延长线于点
为
的中点,试探究线段
上是否存在一点
,使得
最大.若存在,求
的长;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ced9844fe2e052c70486af0740afa63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c066b8e15742b2ef57131636e54ca0f4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50651ac65f1837e81ce47b71c5f4eeaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5604d3e156df3e7ccca0ccec9c9d45.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1697dd04381cd28fece406c739960b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604ed5bece96d5e878aa1c914acc2f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e3d3a8bb04c4f34676aa6166eac112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
您最近一年使用:0次
7 . 如图,是一座“双塔钢结构自锚式悬索桥”,悬索的形状是平面几何中的悬链线,悬链线方程为
(
为参数,
),当
时,该方程就是双曲余弦函数
,类似的有双曲正弦函数
.
______.(用
,
表示)
(2)
,不等式
恒成立,求实数
的取值范围;
(3)设
,证明:
有唯一的正零点
,并比较
和
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98be08efebc64ff0fbc8d0ef819b0290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594663e98b797cdc4efbd098cc15854f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2705e42f28cd5e415655cb1fbecf728b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd6153986cc8b26dd0e58cf92abc00e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/740eb38441fe1cc663275e9f84bacb26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515599523e72afd87bb9f2929425f35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ff0b4309f7e59ab9c65410bdee9485.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c745eb108da3e42138a93d1ce780317f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a197403d3d4d35f97c483db6a95a1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a4ba376c9dfa67cc027d683476368f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a858b8c19d4627c256c8fd524051221a.png)
您最近一年使用:0次
名校
解题方法
8 . 在平面直角坐标系中,
、
,设点
、
、
、…、
是线段
的
等分点,其中
为正整数且
.
时,试用
、
表示
、
;
(2)当
时,求
的值;
(3)当
时,求
(
,
,
,
)的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6ff81aedbefa935da289dc632e78eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b54b9cf95418bc3dce6e4c698b9907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb90a2118db1e9945d7b5997bf2482a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96cb7ee166966ed0b1605c263e433cf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcc77d6da6e8f3ad5c239e7cc6c9930c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2521506a29dfa82b76370f6621b5e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c60f5e90b85f837727d1148b18b9a0db.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ec5d76db9bd05547932966c9913dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942abd572bb4faca805648518d9398d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9612cb52aacd0b66fc1ba1297267c9c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fffa76fee075ec824d689b610c11bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e83e574b885df4d9740540f02e52c13.png)
您最近一年使用:0次
名校
9 . 已知函数
,
.
(1)求函数
的值域;
(2)设函数
,证明:
有且只有一个零点
,且
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1044dcf4fba551e1b7fbfeb895ea08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d770179a24541b9d811da5d944cdfa5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4f3c214da1a20a9ccd33b224531829.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5066adf9157eb0385dc86a44479d91af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112d3c32a1a43115e1f57a7c910a7840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823a11fc7541e66fb15b95884ce476ee.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)求不等式
的解集;
(2)
,将
的图象向右平移
个单位后得到函数
.若对任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcaf2bf2e03dd6d33e03b69c5a318b90.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195a523f1aa349541bb5b846bcc594dd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc5c3594ca8db401fbfdc7ddb57b13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667466e8b8b971a8ea50cd080501577e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a777674bdd16996988b6ba37de5c6142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-08更新
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294次组卷
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2卷引用:重庆市乌江新高考协作体2023-2024学年高一下学期第二阶段性学业质量联合调研抽测(5月)数学试题