\u6ee1\u5206100\u5206\uff0c\u65f6\u95f42\u5c0f\u65f6<\/p>\n
\\begin{enumerate}
\n\\item (5′) \u6b63\u4e94\u8fb9\u5f62\u5e7f\u573aABCDE\u7684\u8fb9\u957f\u4e3a80m\uff0c\u7532\u3001\u4e59\u4e24\u4e2a\u540c\u5b66\u505a\u6e38\u620f\uff0c\u5206\u522b\u4eceA\u3001C\u4e24\u70b9\u5904\u540c\u65f6\u51fa\u53d1\uff0c\u6cbfA-B-C-D-E-A\u7684\u65b9\u5411\u7ed5\u5e7f\u573a\u884c\u8d70\uff0c\u7532\u7684\u901f\u5ea6\u4e3a50m\/min\uff0c\u4e59\u7684\u901f\u5ea6\u4e3a46m\/min\uff0c\u5219\u4e24\u4eba\u7b2c\u4e00\u6b21\u521a\u8d70\u5230\u540c\u4e00\u6761\u8fb9\u4e0a\u65f6\uff0c\u7532\u5728\u9876\u70b9\uff08 \uff09\u5904\u3002
\n\\item (8′, \u6e56\u5317\u6b66\u6c492019). \u5df2\u77e5$AB$\u662f\u5706$O$\u7684\u76f4\u5f84\uff0c$AM$\u548c$BN$\u662f\u5706$O$\u7684\u4e24\u6761\u5207\u7ebf\uff0c$DC$\u4e0e\u5706$O$\u76f8\u5207\u4e8e\u70b9$E$\uff0c\u5206\u522b\u4ea4$AM$\u3001$BN$\u4e8e$D$\u3001$C$\u4e24\u70b9.
\n(1). \u6c42\u8bc1$AB^2=4AD\\cdot BC$;
\n(2). \u8fde\u63a5$OE$\u5e76\u5ef6\u957f\u4ea4$AM$\u4e8e$F$\uff0c\u8fde\u63a5$CF$. \u82e5$\\angle ADE=2\\angle OFC$\uff0c$AD=1$, \u6c42\u56fe\u4e2d\u9634\u5f71\u90e8\u5206\u7684\u9762\u79ef.
\n\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53481.24.26.png}
\n\\caption{\u7b2c\u4e8c\u9898}
\n\\end{figure}
\n\\item (14′, \u5e7f\u5dde2019) \u5047\u8bbe\u7b49\u8fb9\u4e09\u89d2\u5f62$\\Delta ABC$\u4e2d\uff0c $AB=6$\uff0c$D$\u5728$BC$\u4e0a\uff0c$BD=4$. \u70b9$E$\u4e3a\u8fb9$AC$\u4e0a\u4e00\u52a8\u70b9\uff08\u4e0d\u4e0e$C$\u91cd\u5408\uff09\uff0c\u4e09\u89d2\u5f62$\\Delta CDE$\u5173\u4e8e$DE$\u7684\u8f74\u5bf9\u79f0\u56fe\u5f62\u4e3a$\\Delta FDE$.
\n(1) \u5f53\u70b9$F$\u5728$AC$\u4e0a\u65f6\uff0c\u6c42\u8bc1: $DF\/\/AB$;
\n(2) \u8bbe$\\Delta ACD$\u7684\u9762\u79ef\u4e3a$S_1$, $\\Delta ABF$\u7684\u9762\u79ef\u4e3a$S_2$, \u8bb0$S=S_1-S_2$\uff0c \u95ee$S$\u662f\u5426\u5b58\u5728\u6700\u5927\u503c\uff1f\u82e5\u5b58\u5728\uff0c\u6c42\u51fa\u8be5\u6700\u5927\u503c\uff0c\u5426\u5219\u8bf4\u660e\u7406\u7531\u3002
\n(3) \u5f53$B$\u3001$F$\u3001$E$\u4e09\u70b9\u5171\u7ebf\u65f6\uff0c\u6c42$AE$\u7684\u957f\u3002
\n\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53488.07.21.png}
\n\\caption{\u7b2c\u4e09\u9898}
\n\\end{figure}
\n
\n\\item (10′, \u6e56\u5317\u8346\u95e82019\uff09\u5df2\u77e5$ABCD$\u662f\u6b63\u65b9\u5f62\uff0c\u70b9$E$\u662f$AB$\u4e0a\u7684\u52a8\u70b9\uff0c\u4f5c\u7b49\u8170\u76f4\u89d2\u4e09\u89d2\u5f62$FEC$\uff0c\u5176\u4e2d$\\angle E$\u4e3a\u76f4\u89d2\u3002
\n\uff081\uff09\u8fc7$F$\u4f5c$AD$\u7684\u5782\u7ebf\uff0c\u5782\u8db3\u4e3a$G$\u3002\u8bd5\u95ee$FG$\u662f\u5426\u603b\u7b49\u4e8e$AG$? \u8bf4\u660e\u7406\u7531\uff1b
\n\uff082\uff09\u8fde\u63a5$FC$\u5e76\u8bbe\u5176\u4e2d\u70b9\u4e3a$H$\uff0c\u8bd5\u95ee$HD=HG$\u662f\u5426\u603b\u6210\u7acb\uff1f\u8bf4\u660e\u7406\u7531\u3002
\n\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53486.46.06.png}
\n\\caption{\u7b2c\u56db\u9898}
\n\\end{figure}
\n\\item (12’\uff0c\u6e56\u5317\u8346\u95e82019). \u5df2\u77e5\u629b\u7269\u7ebf$y=ax^2+bx+c$\u9876\u70b9\u4e3a$(2,-1)$\u4e14\u7ecf\u8fc7\u70b9$(0,3)$. \u5047\u8bbe\u5b83\u4e0e\u76f4\u7ebf$y=x-1$\u4ea4\u4e0e\u70b9$A$\u3001$B$.
\n\uff081) \u6c42\u629b\u7269\u7ebf\u7684\u89e3\u6790\u5f0f
\n\uff082) \u82e5\u5728\u629b\u7269\u7ebf\u4e0a\u6070\u597d\u53ea\u6709\u4e09\u70b9$Q$\u3001$M$\u3001$N$\u4f7f\u5f97$S_{\\Delta QAB}=S_{\\Delta MAB}=S_{\\Delta NAB}=S$, \u6c42$S$\u7684\u503c\uff1b
\n\uff083) \u5728$A$\u3001$B$\u4e4b\u95f4\u7684\u629b\u7269\u7ebf\u5f27\u4e0a\u662f\u5426\u5b58\u5728\u70b9$P$\u6ee1\u8db3$\\angle APB=90^\\circ$? \u82e5\u5b58\u5728\u6c42\u51fa$P$\u7684\u6a2a\u5750\u6807\uff0c\u5426\u5219\u8bf7\u8bf4\u660e\u7406\u7531\u3002\uff08\u56de\u5fc6\uff0c\u5750\u6807\u5e73\u9762\u5185\u4e24\u70b9$M(x_1,y_1)$\u3001$N(x_2,y_2)$\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e3a
\n$\\overline{MN}=\\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$. \uff09<\/p>\n
\\item (13′, \u6c5f\u82cf\u6cf0\u5b892019)\u82e5\u4e8c\u6b21\u51fd\u6570$y=ax^2+bx+c$\u7684\u56fe\u50cf\u4e0e$x$\u3001$y$\u8f74\u5206\u522b\u4ea4\u4e8e\u70b9$A(3,0)$\u3001$B(0,-2)$\u4e14\u8fc7\u70b9$C(2,-2)$.
\n(1) \u6c42\u4e8c\u6b21\u51fd\u6570\u7684\u8868\u8fbe\u5f0f\uff1b
\n(2) \u82e5\u70b9$P$\u4e3a\u629b\u7269\u7ebf\u4e0a\u7b2c\u4e00\u8c61\u9650\u5185\u7684\u70b9\uff0c\u4e14$S_{\\Delta PBA}=4$, \u6c42$P$\u7684\u5750\u6807\uff1b
\n(3) \u5728\u629b\u7269\u7ebf\u4e0a\uff08$AB$\u4e0b\u65b9\uff09\u662f\u5426\u5b58\u5728\u70b9$M$\uff0c\u4f7f\u5f97$\\angle ABO=\\angle ABM$? \u82e5\u5b58\u5728\u6c42\u51fa$M$\u5230$y$\u8f74\u5230\u8ddd\u79bb\uff0c\u5426\u5219\u8bf4\u660e\u7406\u7531\u3002<\/p>\n
\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53487.54.08.png}
\n\\caption{\u7b2c\u516d\u9898}
\n\\end{figure}
\n\\item (14′, \u5e7f\u5dde2019\uff09\u5df2\u77e5\u629b\u7269\u7ebf$G: y=mx^2-2mx-3$\u6709\u6700\u4f4e\u70b9.
\n(1) \u6c42\u4e8c\u6b21\u51fd\u6570$y=mx^2-2mx-3$\u7684\u6700\u5c0f\u503c\uff08\u7528\u542b$m$\u7684\u5f0f\u5b50\u8868\u793a\uff09\uff1b
\n(2) \u5c06\u629b\u7269\u7ebf$G$\u5411\u53f3\u5e73\u79fb$m$\u4e2a\u5355\u4f4d\u5f97\u5230\u629b\u7269\u7ebf$G_1$, \u7ecf\u63a2\u7a76\u53d1\u73b0\uff0c\u968f\u7740$m$\u7684\u53d8\u5316\uff0c\u629b\u7269\u7ebf$G_1$\u7684\u9876\u70b9\u4e4b\u7eb5\u5750\u6807$y$\u4e0e\u6a2a\u5750\u6807$x$\u4e4b\u95f4\u5b58\u5728\u4e00\u4e2a\u51fd\u6570\u5173\u7cfb\uff0c\u8bd5\u6c42\u8fd9\u4e2a\u51fd\u6570\u5173\u7cfb\u5f0f\uff0c\u5e76\u5199\u51fa\u81ea\u53d8\u91cf$x$\u7684\u53d6\u503c\u8303\u56f4\u3002
\n(3) \u8bb0\uff082\uff09\u4e2d\u6240\u6c42\u5f97\u5f97\u51fd\u6570\u4e3a$H$\uff0c \u629b\u7269\u7ebf$G$\u4e0e$H$\u7684\u56fe\u50cf\u4ea4\u4e8e\u70b9$P$\uff0c \u7ed3\u5408\u56fe\u50cf\u6c42\u70b9$P$\u7684\u7eb5\u5750\u6807\u7684\u53d6\u503c\u8303\u56f4\u3002
\n\\item (12′, \u6210\u90fd2019) \u5982\u56fe\uff0c\u629b\u7269\u7ebf$y=ax^2+bx+c$\u7ecf\u8fc7\u70b9$A(-2,5)$, \u4e0e$x$\u8f74\u4ea4\u4e8e\u70b9$B(-1,0)$, $C(3,0)$.
\n(1) \u6c42\u629b\u7269\u7ebf\u7684\u51fd\u6570\u8868\u8fbe\u5f0f\uff1b
\n(2) \u70b9$D$\u5728\u629b\u7269\u7ebf\u7684\u5bf9\u79f0\u8f74\u4e0a\uff0c\u4e14\u4f4d\u4e8e$x$\u8f74\u7684\u4e0a\u65b9\uff0c\u5c06$\\Delta BCD$\u6cbf\u76f4\u7ebf$BD$\u7ffb\u6298\u5f97\u5230$\\Delta BC’D$, \u82e5\u70b9$C’$\u6070\u597d\u843d\u5728\u629b\u7269\u7ebf\u7684\u5bf9\u79f0\u8f74\u4e0a\uff0c\u6c42\u70b9$C’$\u548c\u70b9$D$\u7684\u5750\u6807\uff1b
\n(3) \u8bbe$P$\u662f\u629b\u7269\u7ebf\u4e0a\u4f4d\u4e8e\u5bf9\u79f0\u8f74\u53f3\u4fa7\u7684\u4e00\u70b9\uff0c\u70b9$Q$\u5728\u629b\u7269\u7ebf\u7684\u5bf9\u79f0\u8f74\u4e0a\uff0c\u5f53$\\Delta CPQ$\u4e3a\u7b49\u8fb9\u4e09\u89d2\u5f62\u65f6\uff0c\u6c42\u76f4\u7ebf$BP$\u7684\u51fd\u6570\u8868\u8fbe\u5f0f\u3002
\n\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53488.48.43.png}
\n\\caption{\u7b2c\u516b\u9898}
\n\\end{figure}<\/p>\n
\\item (12′, \u6b66\u6c492019) \u5df2\u77e5\u629b\u7269\u7ebf$C_1: y=(x-1)^2-4$\u548c$C_2:y=x^2$
\n(1) \u5982\u4f55\u5c06\u629b\u7269\u7ebf$C_1$\u5e73\u79fb\u5f97\u5230\u629b\u7269\u7ebf$C_2$ ?
\n(2) \u5982\u679c\u629b\u7269\u7ebf$C_1$\u4e0e$x$\u6b63\u534a\u8f74\u4ea4\u4e8e\u70b9$A$\uff0c \u7ecf\u8fc7\u70b9$A$\u7684\u76f4\u7ebf$y=-\\frac{4}{3} x+b$\u4ea4\u629b\u7269\u7ebf$C_1$\u4e8e\u53e6\u4e00\u70b9$B$. \u8bd5\u5728\u7ebf\u6bb5$AB$\u4e0a\u6c42\u70b9$P$\uff0c\u4f7f\u5f97\u8fc7\u70b9$P$\u4f5c\u76f4\u7ebf$PQ\/\/y$\u8f74\u4ea4\u629b\u7269\u7ebf$C_1$\u4e8e\u70b9$Q$:
\n(a) \u82e5$AP=AQ$\uff0c\u6c42\u70b9$P$\u7684\u6a2a\u5750\u6807\uff1b
\n(b) \u82e5$PA=PQ$\uff0c\u76f4\u63a5\u5199\u51fa\u70b9$P$\u7684\u6a2a\u5750\u6807\uff1b
\n(3) $\\Delta MNE$\u7684\u9876\u70b9$M$\u3001$N$\u5728\u629b\u7269\u7ebf$C_2$\u4e0a\uff0c\u70b9$M$\u5728\u70b9$N$\u53f3\u8fb9\uff0c\u6709\u4e24\u6761\u76f4\u7ebf$ME$\u3001$NE$\u4e8e\u629b\u7269\u7ebf$C_2$\u90fd\u6709\u552f\u4e00\u516c\u5171\u70b9\uff0c$ME$\u3001$NE$\u5747\u4e0e$y$\u8f74\u4e0d\u5e73\u884c\u3002\u82e5\u4e09\u89d2\u5f62$\\Delta MNE$\u7684\u9762\u79ef\u4e3a2, \u8bbe$M$\u3001$N$\u4e24\u70b9\u7684\u6a2a\u5750\u6807\u5206\u522b\u4e3a$m$\u3001$n$\uff0c\u6c42$m$\u4e8e$n$\u7684\u6570\u91cf\u5173\u7cfb\u3002
\n\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53489.31.29.png}
\n\\caption{\u7b2c\u4e5d\u9898(2)(a)}
\n\\end{figure}
\n\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53489.31.07.png}
\n\\caption{\u7b2c\u4e5d\u9898(2)(b)}
\n\\end{figure}
\n\\begin{figure}[htbp]
\n\\centering
\n\\includegraphics{\u5c4f\u5e55\u5feb\u7167-2020-04-17-\u4e0b\u53489.35.44.png}
\n\\caption{\u7b2c\u4e5d\u9898(3)}
\n\\end{figure}
\n\\end{enumerate}<\/p>\n","protected":false},"excerpt":{"rendered":"
\u6ee1\u5206100\u5206\uff0c\u65f6\u95f42\u5c0f\u65f6 \\begin{enumerate} \\item (5& …<\/p>\n