2022年寒假指导二次根式及性质_练习 .pdf

学习必备欢迎下载寒假指导-二次根式及性质.知识要点：（1）平方根与立方根a.平方根的概念：如果一个数的平方等于a，那么这个数叫做a 的平方根。用a表示。例如：因为()525252552，所以的平方根为。b.算术平方根的概念：正数a 的正的平方根叫做a 的算术平方根。0 的算术平方根为0。用a表示 a 的算术平方根。例如：3 的平方根为3，其中3为 3 的算术平方根。c.立方根的概念：如果一个数的立方等于a，那么这个数就叫做a 的立方根，用a3表示。例如：因为3272727333，所以的立方根为。d.平方根的特征：一个正数有两个平方根，它们互为相反数。0 有一个平方根，就是0本身。负数没有平方根。e.立方根的特征：正数有一个正的立方根。负数有一个负的立方根。0 的立方根为0。aa33。立方根等于其本身的数有三个：1，0，1。（2）二次根式a.二次根式的概念：形如a（a0）的式子叫做二次根式（二次根式中，被开方数一定是非负数，否则就没有意义，并且根式a0）。b.二次根式的基本性质：a0（a0）()aaa20（）aaaaaaa20000|（）（）（）ababab（，）00学习必备欢迎下载babaab（，）00c.二次根式的乘除法ababab（，）00babaab（，）00d.最简二次根式的标准：被开方数的因数是整数，因式是整式（分母中不含根号）。被开方数中不含开得尽方的因数或因式。e.同类二次根式的识别：几个二次根式化简到不能再化简为止后，被开方数相同，则这几个二次根式是同类二次根式。例如：82 22与是同类二次根式，35aa与是同类二次根式。f.二次根式的加减法运算法则：在加减运算中，一般把二次根式化简后再运算，运算时只有同类二次根式才能合并（合并时，只合并根号外的因式，被开方数不变），合并同类二次根式之后的式子作为最后的结果（注意：最后结果要尽可能最简）。h.使分母不带根号（分母有理化）常用方法：化去分母中的根号关键是确定与分母相乘后，其结果不再含根号的因式。i.形如ba的式子，利用()aa2，分子、分母同乘以a得bab aab aa()2ii.形如cabcaxby或的式子利用平方差公式，分子、分母同时乘以abaxb y或（）得cabc ababcaxbyc axbya xb y()()222或注意：分子、分母同时所乘以的式子必须不为0。即如：xyxyxyxyxyxyxy()()()()，这样运算不一定正确，因为xy有可能为0。化去分母中的根号，有时通过约分来解决如：xyxyxyxy（且，）00()()xyxyxyxy文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3文档编码:CT1A3E6T3K8 HG5J7A2E10C6 ZY6H10C2T7L3学习必备欢迎下载（3）实数与数轴：a.无理数的概念：无限不循环小数叫做无理数。b.实数的概念：有理数与无理数统称为实数。c.实数的分类：按实数的定义分类实数有理数整数正整数负整数自然数分数正分数负分数有限小数或无限循环小数无理数正无理数负无理数无限不循环小数0按正负分类实 数正 实 数正 有 理 数正 整 数正 分 数正 无 理 数零负 实 数负 有 理 数负 整 数负 分 数负 无 理 数d.实数与数轴上的点之间的关系：实数与数轴上的点是一一对应的。数轴上的任一点表示的数，不是有理数，就是无理数。数轴上的任一点必定表示一个实数；反过来每一个实数都可以用数轴上的点来表示。e.常见的几种无理数：根号型：如243、等开方开不尽的数。构造型：如1.21121112等无限不循环小数。化简后含有（圆周率）的数。在今后学习中还会遇到三角函数型等。f.实数比较大小的几种常用方法：数轴比较法：将两实数分别表示在数轴上，右边的数总比左边的数大，表示在同一点上的两个数相等。差值比较法：设 a、b 是任意两实数，若ab0，则ab；若ab0，则 ab；若abab0，则。商值比较法：设a、b 是两个正实数若abab1，则；若abab1，则；若abab1，则。文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1学习必备欢迎下载注：除此以外还有平方法等方法。【典型例题】例 1.判断下列说法是否正确：（1）4 的平方根是2（2）25 的平方根是5（3）()82的算术平方根是8（4）0.027 的立方根是0.3（5）827的立方根是23解析：要作出正确判断，必须弄清平方根、算术平方根的概念和立方根的概念。例 2.要使下列各式有意义，字母x 的取值必须分别满足什么条件？（1）34x（2）x2（3）xx12（4）31xx解析：二次根式有意义的条件是被开方数为非负数，分式有意义的条件是分母不为0，对于含有多个表达式的式子需同时让每一个式子有意义，此表达式才有意义。例 3.已知abab35与|互为相反数，求ab22的值。例 4.计算下列各式：（1）()232（2）()7 52（3）2 36（4）41322x yxy（5）()123554（6）6 301248.（7）()(.)124183134 0 5解析：（1）由公式()aaa20（）可以直接得到。（2）根据积的乘方法则()ababnnn可以求解。（3）利用ababab（，）00进行乘法计算。（4）利用ababab（，）00进行乘法计算，但应知道yx00，。文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1学习必备欢迎下载（5）利用ababab（，）00进行计算。（6）和（7）应先对式子中的每个二次根式进行化简，然后对同类二次根式进行合并。例 5.化简下列各式：（1）()22（2）()xx222（）（3）xx2816（4）1244a b c（5）123（6）baab（，）00解析：（1）（2）（3）都是形如a2的化简，关键是正确理解和使用aaaaaa200|（）（）（4）运用ababab（，）00对二次根式进行化简时尽可能将被开方数的因式写成平方的形式。（5）（6）去掉分母中的根号，常用的方法是使分母化为a2（或a2）的形式。例 6.已知 a、b 均为有理数，并且满足等式：532233aba，求 a、b 的值。解析：因为532233aba所以()()aba252330因为 a、b 均是有理数所以5223aba与都是有理数所以有520230aba解得ab23136例 7.比较3221与的大小。文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1学习必备欢迎下载分析：比较3221与的大小，可先将各数的近似值求出来32173214140318.21141410414.再比较大小，本题还有一种方法“分子有理化”解：32323232132()()21212121121()()()又1321213221例 8.观察下列各式及其验证过程：223223验证：22323222212 2122122333222()()338338验证：33838333313 3133133833222()()（1）按照上述两个等式及其验证过程的基本思路猜想4415的变形结果并进行验证。（2）针对上述各式反映的规律，写出用n（n 为任意自然数，且n2）表示的等式，并给出证明。文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1学习必备欢迎下载【模拟试题】（答题时间：80分钟）一.填空题1.计算|2=_；273=_。2.若代数式112x有意义，则x 的取值范围是 _。3.计算：12118=_。4.在实数范围内分解因式：xx22 33_。5.若 x5，则()x52_。6.绝对值不超过3 的无理数有 _（只需写出3 个即可）。7.已知ab152152，则ab227的值为 _。8.实数 a、b、c 在数轴上的对应点如图。化简：aabcbc|2_。9.已知()abab12402，计算 ab=_。10.3的整数部分为a，小数部分为b，则 a=_，b=_。二.选择题11.在二次根式589223aacaba，中，最简二次根式共有（）A.1 个B.2 个C.3 个D.4 个12.在二次根式：（1）12；（2）23；（3）23；（4）27中，与3是同类二次根式的是（）A.（1）和（3）B.（2）和（3）C.（1）和（4）D.（3）和（4）13.下列实数中，无理数是（）A.3.14 B.12C.0 D.314.下列各组数中，互为相反数的是（）A.212和B.|22与C.222与()D.283和15.若 a为实数，下列代数式中，一定是负数的是（）A.a2B.()a12C.a2D.(|)a 1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 ZM1G1Q3N6T1文档编码:CG7B5X1B3U10 HZ2P6Q3Y6S7 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