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| 共计 1543 道试题
解答题 | 较易(0.85) | 2021·全国高三专题练习
1 . 已知eqIdc911613a7d8942d5bc19d1b7b0296874是一个x的多项式的完全平方,求eqId10852d81bc184140a7780250c82c6929的平方根.
2 . 已知函数eqId7800e24e92414eecbc032364d905e5df的最大值为7,最小值为-1,求此函数解析式.
解答题 | 较易(0.85) | 2021·全国高三专题练习
3 . (1)分解因式eqId61d62823d0ae431899a54ef03e81c999
(2)若eqIda8958ce88e4a4986b152590ad8eb3231可分解为两个一次式的积,求m的值并将多项式分解因式.
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解答题 | 一般(0.65) | 2021·全国高三专题练习
4 . 设抛物线eqId7a4cc0f432b541fc8bd4d546d911663a过点eqId3004b23f5d9344db80811cc7055222a1eqId6c3e047869254e05bcb49dfb711a24f8
(1)试用a表示bc
(2)对于任意非零实数a,抛物线都不过点eqIdc976b47a799640adb223f9a89001fd4d,试求m的值.
5 . 已知函数eqId9e587778dafc46939d19a599164f7ef0,当点eqId451a2d6f08494d60aa3d452d4b6e03fd在函数eqId144eff5c0e4649138a21f2b1b6a06907图像上时,点eqIdae544d01afb6494a80f0da82b7956822在函数eqId7c3fb83bd6cb402a91a35f8807b8c986图像上.
(1)求eqId7c3fb83bd6cb402a91a35f8807b8c986的表达式;
(2)若eqId1333d15467bf4ee5bcec126f80f05073eqIdd6357ac622464ff8ab97b2800b733515eqIdee64db56e7604f719d7e1c7f1c405750eqId7c3fb83bd6cb402a91a35f8807b8c986图像上的三点,且满足eqId9f0a8ecb37db40438fbad9e4b5c90106的实数x有且只有两个不同的值,求实数a的取值范围.
6 . 已知eqId10852d81bc184140a7780250c82c6929为定义在eqId7dcd2312d0bf4bb1befdfcc170e45791上的奇函数,且当eqIdaa1312dcc8e24925b421f7767761a363时,eqId498871ad85644d28a5050c7f3819bc51.
(1)求函数eqId10852d81bc184140a7780250c82c6929的解析式;
(2)求函数eqId10852d81bc184140a7780250c82c6929在区间eqIdcf16c69515c34346a0fe9beaa2d92a85eqIdc853264525724a8991bede085add6178上的最小值.
7 . 若函数eqId6ecb6c16c5f4400ca38f30f4241f75c9,则eqId10852d81bc184140a7780250c82c6929eqId2ed805d50c9a4deda071af71c424865e上的最大值与最小值之和为(   )
A.eqId5c1c12d4b3ba4aaab6267324ae66c81eB.eqId60b27c6687d44660b93a4c7d507da98eC.0D.eqIdda3fe57e250a4b619aa9e3418e1534a4
8 . 已知ab是常数且eqId2c07a82215514a4eaf0b1325853b8f48eqIded411d46f74b474db11cac3dc7df6d1deqId5e57bfb26ff14586bb537fa29df4ec58,且使方程eqId5cd82768c190426d951738d97aa566e9有等根.
(1)求eqId10852d81bc184140a7780250c82c6929的解析式;
(2)是否存在实数meqId793d607cb5d248b79524795c7a1ebbf4,使得eqId10852d81bc184140a7780250c82c6929的定义域和值域分别为eqId0ce7d6f52ab145b7b1ac946de1aada81eqId7efc915caea7488dbdad66e8c80a8a63?
9 . 如图,点eqIdbd59f9131230499b8831ba81485f7f43eqId805595db50534e7e996759d758038911在反比例函数eqId4a16f8977da64064b9ec642e3aadf312的图象上,经过点AB的直线与x轴相交于点C,与y轴相交于点D.
说明: figure
(1)若eqId353d918c839747d0a59b7c6bd24f35e8,求n的值;
(2)求eqIdd2781a77c68c4dfa815fe3916afc45cb的值;
(3)连接OAOB,若eqIda6ba6a1f047045dfbacb1ae4e4577412,求直线AB的函数关系式.
10 . 设eqId68b4af50b8074298a123924a8c4ff7de均为实数,若eqId92834838e5f44e4188f8ca4c98dbe9c6eqIdaa94d7c8cdeb451ba667d71dcae546ff恒成立,则eqId648debfd763a49a1bb01f30ddc51974a=_____________