中考数学函数与几何综合压轴题训练资料包

中考数学函数与几何综合压轴题训练资料包原创训练资料｜建议按“模型识别—独立作答—分步订正—二次复测”使用中考数学函数与几何综合压轴题训练资料包（180题原创题库、动点模型、面积最值、答案详解与二次复测）模型识别·坐标建模·动点追踪·面积最值·存在性分类·分步得分适用对象：九年级学生；中考数学一轮、二轮复习阶段；需要系统突破函数与几何综合题的学习者；教师可用于专题课、作业分层与讲评课。使用场景：专题训练、周末强化、阶段复习、错题重做、考前模型回顾、课堂讲评、分层作业。下载后可获得内容：24张模型方法卡、10个专项模块、180道原创题、完整答案详解、关键题评分细则、易错点诊断、14天使用计划、错题复盘表、2套二次复测卷及详解。资料结构：基础工具→模型方法卡→10模块题库→逐题答案详解→易错诊断→评分与自评→14天计划→二次复测。打印/编辑说明：A4版式；表格已按打印阅读优化；可直接打印，也可在Word中复制题目、调整字号或提取模块用于课堂与作业。推荐使用方法：先限时独立作答并标记卡点；再对照解析只补缺失步骤；48小时后遮住答案重做；7天后进入同模型复测。版权与原创说明：本资料为原创整理与原创模拟训练，不声称来自官方、真实考试、原版教材、厂家手册或内部资料。公开资料仅用于校准学习目标与能力要求，题目、解析、表格和训练流程均为原创编制。编制依据与使用边界本资料依据教育部发布的《义务教育数学课程标准（2022年版）》所强调的几何直观、空间观念、推理能力、模型观念、应用意识等素养方向组织训练；同时参考教育部关于义务教育课程方案和课程标准修订情况的公开说明，将“观察—思考—表达—应用”的要求转化为可操作的模型识别、推理表达、坐标运算与复测流程。公开依据：①教育部《义务教育数学课程标准（2022年版）》，2022年4月；②教育部“介绍义务教育课程方案和课程标准修订情况”新闻发布会，2022年4月21日。以上公开依据只用于确定训练方向与能力边界，不复制课程标准正文，不对应任何地区真实试卷。

目录与训练导航部分内容第一部分使用说明、能力地图、评分规则、24张模型方法卡第二部分模块1—10：180道原创专项训练第三部分180题答案详解与关键题评分细则第四部分易错点诊断、错题复盘、14天训练计划第五部分二次复测卷A/B及答案详解能力地图：一眼判断题目在考什么能力核心动作高频失分读图与提取从坐标、函数式、动点范围中提取不变量与限制条件漏范围、漏象限、漏端点代数建模把长度、面积、角度关系转化为方程或函数式子对但定义域错几何推理相似、全等、圆、勾股、平行垂直关系链只写结论不写依据分类讨论等腰、直角、平行、面积给定等存在性问题漏一种或重复计数最值判断先建函数，再结合开口方向、端点与取值范围只算顶点不看区间表达得分写清设元、关系式、化简、结论与检验跳步导致过程分丢失统一评分与自评标准等级得分率自评口径A档90%—100%模型识别正确；步骤完整；分类无遗漏；能解释关键转化。B档75%—89%主方法正确；偶有运算或表达缺口；复测可独立修正。C档60%—74%能进入模型但卡在方程、相似或最值；需针对性补方法卡。D档60%以下模型判断不稳定；建议回到基础工具与示例题，分模块训练。24张模型方法卡模型卡方法核心易错提醒01交点模型联立两个函数式；先求交点，再把坐标代入长度、面积或比例。先查定义域；交点不一定在第一象限。02轴截距模型令x=0求y轴截距，令y=0求x轴截距。分母、根号或反比例函数要先看能否取0。03三角形面积模型坐标轴型优先用底×高；一般坐标型可分割或用行列式。高必须对应底所在直线。04面积差模型大图形面积减小图形面积，适合凹形或动点切割。注意重叠与重复计算。模型卡方法核心易错提醒05一次函数动点设P(t,mt+b)，把几何量全部化成t。t的范围由线段端点或象限决定。06反比例定积点(x,y)在y=k/x上，则xy=k；矩形面积常与|k|有关。象限决定符号，面积取正。07反比例交点联立一次函数与xy=k，通常得到一元二次方程。根的个数对应交点个数。08二次函数顶点化成y=a(x-h)²+k，直接读顶点、轴、最值。区间最值不能只看顶点。模型卡方法核心易错提醒09二次函数根式y=a(x-x₁)(x-x₂)便于处理与x轴交点。开口方向由a决定。10平移模型图像左右平移改x，竖直平移改整体常数。左加右减、上加下减。11旋转坐标绕原点90°：顺时针(x,y)→(y,-x)，逆时针→(-y,x)。先辨方向。12折叠对称折叠本质是轴对称；折痕是对应点连线的垂直平分线。对应点到折痕距离相等。模型卡方法核心易错提醒13A字相似平行线截三角形，优先写对应边成比例。对应顶点顺序要一致。148字相似对顶角相等+一组平行角，快速建立两组三角形相似。不要把相邻角错当对顶角。15直角三角形射影斜边高模型中，三组相似可连出多条比例。先标直角，再找共角。16中点与倍长遇中点可连中点、作平行线或倍长构造全等。构造后要写新点关系。模型卡方法核心易错提醒17圆切线模型切线垂直半径；点到圆心距离=半径是切点判定入口。切点必须在圆上。18弦距模型圆心到弦垂直则平分弦；半弦、弦心距、半径构成直角三角形。优先画半弦。19等腰存在性列PA=PB、PA=AB、PB=AB三类，再去重与验范围。三类不是必有三解。20直角存在性分别讨论三个顶点为直角；用斜率、勾股或点积。坐标轴垂直可直接识别。模型卡方法核心易错提醒21平行垂直存在性斜率相等判平行，乘积为-1判垂直（斜率存在时）。竖直线需单独处理。22定点模型把含参数式按参数整理，令参数系数为0求固定条件。必须验证所得点对所有参数成立。23定值模型先猜测不变量，再用坐标、相似或代数化简证明。只验证几个数值不算证明。24复测闭环首次错题→归类错因→48小时同题重做→7天同模型异题复测。复测必须遮住原解析。

第二部分180道原创专项训练建议：每题先在题号旁标记“会/半会/不会”。首次训练不要边做边看答案；完成一个模块后再统一订正。模块1一次函数交点、截距与面积本模块必查：交点联立、截距、坐标差、三角形面积01.【基础】已知直线l₁：y=1x-1，l₂：y=2x-3。求两直线交点P，并求△POA的面积，其中O为原点，A为l₁与x轴的交点。________________________________________________________________________________________________________________________________________________________________02.【基础】已知直线l₁：y=2x-3，l₂：y=-1x+6。求两直线交点P，并求△POA的面积，其中O为原点，A为l₁与x轴的交点。________________________________________________________________________________________________________________________________________________________________03.【基础】已知直线l₁：y=-1x+9，l₂：y=-3x+17。求两直线交点P，并求△POA的面积，其中O为原点，A为l₁与x轴的交点。________________________________________________________________________________________________________________________________________________________________04.【基础】已知直线l₁：y=-2x+10，l₂：y=1x-5。求两直线交点P，并求△POA的面积，其中O为原点，A为l₁与x轴的交点。________________________________________________________________________________________________________________________________________________________________05.【基础】已知直线l₁：y=3x-1，l₂：y=-2x+4。求两直线交点P，并求△POA的面积，其中O为原点，A为l₁与x轴的交点。________________________________________________________________________________________________________________________________________________________________06.【基础】已知直线l₁：y=-3x+10，l₂：y=3x-2。求两直线交点P，并求△POA的面积，其中O为原点，A为l₁与x轴的交点。________________________________________________________________________________________________________________________________________________________________07.【提高】直线l₁：y=1x-4与l₂：y=2x-7交于P。过P作y轴的垂线，垂足为H。点Q在y轴上且Q(0,1)。求P坐标，并求△PQH面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________08.【提高】直线l₁：y=2x-7与l₂：y=-1x+5交于P。过P作y轴的垂线，垂足为H。点Q在y轴上且Q(0,4)。求P坐标，并求△PQH面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________09.【提高】直线l₁：y=-1x+8与l₂：y=-3x+18交于P。过P作y轴的垂线，垂足为H。点Q在y轴上且Q(0,4)。求P坐标，并求△PQH面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________10.【提高】直线l₁：y=-2x+7与l₂：y=1x+4交于P。过P作y轴的垂线，垂足为H。点Q在y轴上且Q(0,7)。求P坐标，并求△PQH面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________11.【提高】直线l₁：y=3x-6与l₂：y=-2x+4交于P。过P作y轴的垂线，垂足为H。点Q在y轴上且Q(0,3)。求P坐标，并求△PQH面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________12.【提高】直线l₁：y=-3x+11与l₂：y=3x-7交于P。过P作y轴的垂线，垂足为H。点Q在y轴上且Q(0,3)。求P坐标，并求△PQH面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________13.【综合】直线y=1x+0与x轴、y轴分别交于A、B。点P(4,4)在另一条直线y=2x-4上。求△AOB面积，并判断P是否在△AOB内部（说明理由）。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________14.【综合】直线y=2x-11与x轴、y轴分别交于A、B。点P(5,-1)在另一条直线y=-1x+4上。求△AOB面积，并判断P是否在△AOB内部（说明理由）。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________15.【综合】直线y=-1x+2与x轴、y轴分别交于A、B。点P(1,1)在另一条直线y=-3x+4上。求△AOB面积，并判断P是否在△AOB内部（说明理由）。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.【综合】直线y=-2x+7与x轴、y轴分别交于A、B。点P(2,3)在另一条直线y=1x+1上。求△AOB面积，并判断P是否在△AOB内部（说明理由）。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.【综合】直线y=3x-4与x轴、y轴分别交于A、B。点P(3,5)在另一条直线y=-2x+11上。求△AOB面积，并判断P是否在△AOB内部（说明理由）。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.【综合】直线y=-3x+12与x轴、y轴分别交于A、B。点P(4,0)在另一条直线y=3x-12上。求△AOB面积，并判断P是否在△AOB内部（说明理由）。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

模块2反比例函数与几何面积本模块必查：xy=k、定积、两点连线、面积与距离01.【基础】点A(1,12)在反比例函数y=12/x上。过A分别作坐标轴的垂线，与坐标轴围成矩形。求矩形面积，并说明面积与点A位置的关系。________________________________________________________________________________________________________________________________________________________________02.【基础】点A(2,9)在反比例函数y=18/x上。过A分别作坐标轴的垂线，与坐标轴围成矩形。求矩形面积，并说明面积与点A位置的关系。________________________________________________________________________________________________________________________________________________________________03.【基础】点A(3,8)在反比例函数y=24/x上。过A分别作坐标轴的垂线，与坐标轴围成矩形。求矩形面积，并说明面积与点A位置的关系。________________________________________________________________________________________________________________________________________________________________04.【基础】点A(5,6)在反比例函数y=30/x上。过A分别作坐标轴的垂线，与坐标轴围成矩形。求矩形面积，并说明面积与点A位置的关系。________________________________________________________________________________________________________________________________________________________________05.【基础】点A(6,-2)在反比例函数y=-12/x上。过A分别作坐标轴的垂线，与坐标轴围成矩形。求矩形面积，并说明面积与点A位置的关系。________________________________________________________________________________________________________________________________________________________________06.【基础】点A(6,-3)在反比例函数y=-18/x上。过A分别作坐标轴的垂线，与坐标轴围成矩形。求矩形面积，并说明面积与点A位置的关系。________________________________________________________________________________________________________________________________________________________________07.【提高】反比例函数y=20/x上有两点A(1,20)、B(4,5)。求△OAB面积，并比较线段OA、OB的长短。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________08.【提高】反比例函数y=28/x上有两点A(2,14)、B(7,4)。求△OAB面积，并比较线段OA、OB的长短。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________09.【提高】反比例函数y=32/x上有两点A(4,8)、B(8,4)。求△OAB面积，并比较线段OA、OB的长短。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________10.【提高】反比例函数y=36/x上有两点A(4,9)、B(9,4)。求△OAB面积，并比较线段OA、OB的长短。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________11.【提高】反比例函数y=-24/x上有两点A(6,-4)、B(2,-12)。求△OAB面积，并比较线段OA、OB的长短。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________12.【提高】反比例函数y=40/x上有两点A(8,5)、B(4,10)。求△OAB面积，并比较线段OA、OB的长短。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________13.【综合】A(1,48)、B(4,12)是反比例函数y=48/x上的两点。求直线AB的解析式；再求直线AB与坐标轴围成三角形的面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________14.【综合】A(2,27)、B(6,9)是反比例函数y=54/x上的两点。求直线AB的解析式；再求直线AB与坐标轴围成三角形的面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________15.【综合】A(3,20)、B(6,10)是反比例函数y=60/x上的两点。求直线AB的解析式；再求直线AB与坐标轴围成三角形的面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.【综合】A(5,-6)、B(10,-3)是反比例函数y=-30/x上的两点。求直线AB的解析式；再求直线AB与坐标轴围成三角形的面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.【综合】A(6,7)、B(2,21)是反比例函数y=42/x上的两点。求直线AB的解析式；再求直线AB与坐标轴围成三角形的面积。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.【综合】A(7,8)、B(4,14)是反比例函数y=56/x上的两点。求直线AB的解析式；再求直线AB与坐标轴围成三角形的面积。______________________________________________________________________________________________________________________________________________________________________________________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模块3二次函数图像、区间最值与交点本模块必查：顶点式、交点式、区间最值、交点实根01.【基础】已知二次函数y=1(x--1)²-2。写出顶点、对称轴和开口方向，并求x∈[-3,1]时的最大值与最小值。________________________________________________________________________________________________________________________________________________________________02.【基础】已知二次函数y=-1(x-0)²-1。写出顶点、对称轴和开口方向，并求x∈[-3,3]时的最大值与最小值。________________________________________________________________________________________________________________________________________________________________03.【基础】已知二次函数y=2(x-1)²+0。写出顶点、对称轴和开口方向，并求x∈[0,5]时的最大值与最小值。________________________________________________________________________________________________________________________________________________________________04.【基础】已知二次函数y=-2(x-2)²+1。写出顶点、对称轴和开口方向，并求x∈[0,3]时的最大值与最小值。________________________________________________________________________________________________________________________________________________________________05.【基础】已知二次函数y=1(x--2)²+2。写出顶点、对称轴和开口方向，并求x∈[-5,0]时的最大值与最小值。________________________________________________________________________________________________________________________________________________________________06.【基础】已知二次函数y=-1(x--1)²+3。写出顶点、对称轴和开口方向，并求x∈[-2,2]时的最大值与最小值。________________________________________________________________________________________________________________________________________________________________07.【提高】二次函数y=1(x--2)(x-4)。求与x轴交点、对称轴及顶点纵坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________08.【提高】二次函数y=-1(x--2)(x-2)。求与x轴交点、对称轴及顶点纵坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________09.【提高】二次函数y=1(x-1)(x-4)。求与x轴交点、对称轴及顶点纵坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________10.【提高】二次函数y=-1(x--4)(x-1)。求与x轴交点、对称轴及顶点纵坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________11.【提高】二次函数y=1(x--4)(x-3)。求与x轴交点、对称轴及顶点纵坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________12.【提高】二次函数y=-1(x--1)(x-1)。求与x轴交点、对称轴及顶点纵坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________13.【综合】抛物线y=1(x--2)(x-5)与直线y=2x+4相交。求所有交点的横坐标，并判断交点个数。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________14.【综合】抛物线y=-1(x--3)(x-6)与直线y=3x+9相交。求所有交点的横坐标，并判断交点个数。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________15.【综合】抛物线y=1(x--4)(x-2)与直线y=1x+4相交。求所有交点的横坐标，并判断交点个数。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.【综合】抛物线y=-1(x--1)(x-3)与直线y=2x+2相交。求所有交点的横坐标，并判断交点个数。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.【综合】抛物线y=1(x--2)(x-4)与直线y=3x+6相交。求所有交点的横坐标，并判断交点个数。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.【综合】抛物线y=-1(x--3)(x-5)与直线y=1x+3相交。求所有交点的横坐标，并判断交点个数。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

模块4动点坐标、面积函数与最值本模块必查：动点参数化、面积函数、定义域、最值01.【基础】点P在直线y=1x+3上运动，设P(t,1t+3)，0≤t≤5。固定点A(2,2)，O为原点。求t=2时△OAP面积。________________________________________________________________________________________________________________________________________________________________02.【基础】点P在直线y=2x+4上运动，设P(t,2t+4)，0≤t≤6。固定点A(3,3)，O为原点。求t=3时△OAP面积。________________________________________________________________________________________________________________________________________________________________03.【基础】点P在直线y=-1x+5上运动，设P(t,-1t+5)，0≤t≤7。固定点A(4,1)，O为原点。求t=4时△OAP面积。________________________________________________________________________________________________________________________________________________________________04.【基础】点P在直线y=1x+6上运动，设P(t,1t+6)，0≤t≤8。固定点A(1,2)，O为原点。求t=1时△OAP面积。________________________________________________________________________________________________________________________________________________________________05.【基础】点P在直线y=2x+2上运动，设P(t,2t+2)，0≤t≤4。固定点A(2,3)，O为原点。求t=2时△OAP面积。________________________________________________________________________________________________________________________________________________________________06.【基础】点P在直线y=-1x+3上运动，设P(t,-1t+3)，0≤t≤5。固定点A(3,1)，O为原点。求t=3时△OAP面积。________________________________________________________________________________________________________________________________________________________________07.【提高】A(0,0)、B(7,0)，点P(t,1t+4)在直线y=1x+4上，且0≤t≤6。写出S△ABP关于t的函数关系式，并求最大值和最小值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________08.【提高】A(0,0)、B(8,0)，点P(t,2t+5)在直线y=2x+5上，且0≤t≤7。写出S△ABP关于t的函数关系式，并求最大值和最小值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________09.【提高】A(0,0)、B(9,0)，点P(t,-1t+6)在直线y=-1x+6上，且0≤t≤8。写出S△ABP关于t的函数关系式，并求最大值和最小值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________10.【提高】A(0,0)、B(5,0)，点P(t,1t+2)在直线y=1x+2上，且0≤t≤4。写出S△ABP关于t的函数关系式，并求最大值和最小值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________11.【提高】A(0,0)、B(6,0)，点P(t,2t+3)在直线y=2x+3上，且0≤t≤5。写出S△ABP关于t的函数关系式，并求最大值和最小值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________12.【提高】A(0,0)、B(7,0)，点P(t,-1t+4)在直线y=-1x+4上，且0≤t≤6。写出S△ABP关于t的函数关系式，并求最大值和最小值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________13.【综合】在线段AB上取动点P，设AP=t，PB=4-t（0≤t≤4）。以AP、PB为两条互相垂直的边构造矩形，求面积S关于t的关系式及最大值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________14.【综合】在线段AB上取动点P，设AP=t，PB=5-t（0≤t≤5）。以AP、PB为两条互相垂直的边构造矩形，求面积S关于t的关系式及最大值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________15.【综合】在线段AB上取动点P，设AP=t，PB=6-t（0≤t≤6）。以AP、PB为两条互相垂直的边构造矩形，求面积S关于t的关系式及最大值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.【综合】在线段AB上取动点P，设AP=t，PB=3-t（0≤t≤3）。以AP、PB为两条互相垂直的边构造矩形，求面积S关于t的关系式及最大值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.【综合】在线段AB上取动点P，设AP=t，PB=4-t（0≤t≤4）。以AP、PB为两条互相垂直的边构造矩形，求面积S关于t的关系式及最大值。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.【综合】在线段AB上取动点P，设AP=t，PB=5-t（0≤t≤5）。以AP、PB为两条互相垂直的边构造矩形，求面积S关于t的关系式及最大值。__________________________________________________________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模块5平移、旋转、折叠与函数图像本模块必查：平移、旋转、对称、图像变换01.【基础】点A(-1,-2)先向右平移2个单位，再向上平移0个单位。求所得点A'坐标，并写出平移前后横、纵坐标的变化规律。________________________________________________________________________________________________________________________________________________________________02.【基础】点A(0,-1)先向右平移3个单位，再向上平移1个单位。求所得点A'坐标，并写出平移前后横、纵坐标的变化规律。________________________________________________________________________________________________________________________________________________________________03.【基础】点A(1,0)先向右平移4个单位，再向上平移2个单位。求所得点A'坐标，并写出平移前后横、纵坐标的变化规律。________________________________________________________________________________________________________________________________________________________________04.【基础】点A(2,1)先向右平移1个单位，再向上平移2个单位。求所得点A'坐标，并写出平移前后横、纵坐标的变化规律。________________________________________________________________________________________________________________________________________________________________05.【基础】点A(-2,2)先向右平移2个单位，再向上平移1个单位。求所得点A'坐标，并写出平移前后横、纵坐标的变化规律。________________________________________________________________________________________________________________________________________________________________06.【基础】点A(-1,3)先向右平移3个单位，再向上平移0个单位。求所得点A'坐标，并写出平移前后横、纵坐标的变化规律。________________________________________________________________________________________________________________________________________________________________07.【提高】点A(0,-3)绕原点旋转90°，方向为逆时针。求A'坐标，并求OA²与OA'²。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________08.【提高】点A(1,-2)绕原点旋转90°，方向为顺时针。求A'坐标，并求OA²与OA'²。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________09.【提高】点A(2,-1)绕原点旋转90°，方向为逆时针。求A'坐标，并求OA²与OA'²。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________10.【提高】点A(-2,0)绕原点旋转90°，方向为顺时针。求A'坐标，并求OA²与OA'²。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________11.【提高】点A(-1,1)绕原点旋转90°，方向为逆时针。求A'坐标，并求OA²与OA'²。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________12.【提高】点A(0,2)绕原点旋转90°，方向为顺时针。求A'坐标，并求OA²与OA'²。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________13.【综合】抛物线y=(x-1)²+0向右平移2个单位，再向下平移2个单位。写出新抛物线解析式及顶点坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________14.【综合】抛物线y=(x-2)²+1向右平移3个单位，再向下平移2个单位。写出新抛物线解析式及顶点坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________15.【综合】抛物线y=(x--2)²+2向右平移1个单位，再向下平移2个单位。写出新抛物线解析式及顶点坐标。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.【综合】抛物线