八年级下册数学一元一次方程计算题 初二 50道一元一次方程
\u521d\u4e8c\u6570\u5b66\u4e0b\u518c\u65b9\u7a0b\u7684\u7ec3\u4e60\u9898\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\u6cd5
\u4e00\u3001\u77e5\u8bc6\u8981\u70b9\uff1a
\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u548c\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u90fd\u662f\u6574\u5f0f\u65b9\u7a0b\uff0c\u5b83\u662f\u521d\u4e2d\u6570\u5b66\u7684\u4e00\u4e2a\u91cd\u70b9\u5185\u5bb9\uff0c\u4e5f\u662f\u4eca\u540e\u5b66\u4e60\u6570\u5b66\u7684\u57fa
\u7840\uff0c\u5e94\u5f15\u8d77\u540c\u5b66\u4eec\u7684\u91cd\u89c6\u3002
\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u4e00\u822c\u5f62\u5f0f\u4e3a\uff1aax2+bx+c=0, (a\u22600)\uff0c\u5b83\u662f\u53ea\u542b\u4e00\u4e2a\u672a\u77e5\u6570\uff0c\u5e76\u4e14\u672a\u77e5\u6570\u7684\u6700\u9ad8\u6b21\u6570\u662f2
\u7684\u6574\u5f0f\u65b9\u7a0b\u3002
\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u57fa\u672c\u601d\u60f3\u65b9\u6cd5\u662f\u901a\u8fc7\u201c\u964d\u6b21\u201d\u5c06\u5b83\u5316\u4e3a\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u3002\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u6709\u56db\u79cd\u89e3
\u6cd5\uff1a1\u3001\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\uff1b2\u3001\u914d\u65b9\u6cd5\uff1b3\u3001\u516c\u5f0f\u6cd5\uff1b4\u3001\u56e0\u5f0f\u5206\u89e3\u6cd5\u3002
\u4e8c\u3001\u65b9\u6cd5\u3001\u4f8b\u9898\u7cbe\u8bb2\uff1a
1\u3001\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\uff1a
\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\u5c31\u662f\u7528\u76f4\u63a5\u5f00\u5e73\u65b9\u6c42\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u65b9\u6cd5\u3002\u7528\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\u89e3\u5f62\u5982(x-m)2=n (n\u22650)\u7684
\u65b9\u7a0b\uff0c\u5176\u89e3\u4e3ax=m\u00b1 .
\u4f8b1\uff0e\u89e3\u65b9\u7a0b\uff081\uff09(3x+1)2=7 \uff082\uff099x2-24x+16=11
\u5206\u6790\uff1a\uff081\uff09\u6b64\u65b9\u7a0b\u663e\u7136\u7528\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\u597d\u505a\uff0c\uff082\uff09\u65b9\u7a0b\u5de6\u8fb9\u662f\u5b8c\u5168\u5e73\u65b9\u5f0f(3x-4)2\uff0c\u53f3\u8fb9=11>0\uff0c\u6240\u4ee5
\u6b64\u65b9\u7a0b\u4e5f\u53ef\u7528\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\u89e3\u3002
\uff081\uff09\u89e3\uff1a(3x+1)2=7\u00d7
\u2234(3x+1)2=5
\u22343x+1=\u00b1(\u6ce8\u610f\u4e0d\u8981\u4e22\u89e3)
\u2234x=
\u2234\u539f\u65b9\u7a0b\u7684\u89e3\u4e3ax1=,x2=
\uff082\uff09\u89e3\uff1a 9x2-24x+16=11
\u2234(3x-4)2=11
\u22343x-4=\u00b1
\u2234x=
\u2234\u539f\u65b9\u7a0b\u7684\u89e3\u4e3ax1=,x2=
2\uff0e\u914d\u65b9\u6cd5\uff1a\u7528\u914d\u65b9\u6cd5\u89e3\u65b9\u7a0bax2+bx+c=0 (a\u22600)
\u5148\u5c06\u5e38\u6570c\u79fb\u5230\u65b9\u7a0b\u53f3\u8fb9\uff1aax2+bx=-c
\u5c06\u4e8c\u6b21\u9879\u7cfb\u6570\u5316\u4e3a1\uff1ax2+x=-
\u65b9\u7a0b\u4e24\u8fb9\u5206\u522b\u52a0\u4e0a\u4e00\u6b21\u9879\u7cfb\u6570\u7684\u4e00\u534a\u7684\u5e73\u65b9\uff1ax2+x+( )2=- +( )2
\u65b9\u7a0b\u5de6\u8fb9\u6210\u4e3a\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\uff1a(x+ )2=
\u5f53b2-4ac\u22650\u65f6\uff0cx+ =\u00b1
\u2234x=(\u8fd9\u5c31\u662f\u6c42\u6839\u516c\u5f0f)
\u4f8b2\uff0e\u7528\u914d\u65b9\u6cd5\u89e3\u65b9\u7a0b 3x2-4x-2=0
\u89e3\uff1a\u5c06\u5e38\u6570\u9879\u79fb\u5230\u65b9\u7a0b\u53f3\u8fb9 3x2-4x=2
\u5c06\u4e8c\u6b21\u9879\u7cfb\u6570\u5316\u4e3a1\uff1ax2-x=
\u65b9\u7a0b\u4e24\u8fb9\u90fd\u52a0\u4e0a\u4e00\u6b21\u9879\u7cfb\u6570\u4e00\u534a\u7684\u5e73\u65b9\uff1ax2-x+( )2= +( )2
\u914d\u65b9\uff1a(x-)2=
\u76f4\u63a5\u5f00\u5e73\u65b9\u5f97\uff1ax-=\u00b1
\u2234x=
\u2234\u539f\u65b9\u7a0b\u7684\u89e3\u4e3ax1=,x2= .
3\uff0e\u516c\u5f0f\u6cd5\uff1a\u628a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u5316\u6210\u4e00\u822c\u5f62\u5f0f\uff0c\u7136\u540e\u8ba1\u7b97\u5224\u522b\u5f0f\u25b3=b2-4ac\u7684\u503c\uff0c\u5f53b2-4ac\u22650\u65f6\uff0c\u628a\u5404\u9879
\u7cfb\u6570a, b, c\u7684\u503c\u4ee3\u5165\u6c42\u6839\u516c\u5f0fx=(b2-4ac\u22650)\u5c31\u53ef\u5f97\u5230\u65b9\u7a0b\u7684\u6839\u3002
\u4f8b3\uff0e\u7528\u516c\u5f0f\u6cd5\u89e3\u65b9\u7a0b 2x2-8x=-5
\u89e3\uff1a\u5c06\u65b9\u7a0b\u5316\u4e3a\u4e00\u822c\u5f62\u5f0f\uff1a2x2-8x+5=0
\u2234a=2, b=-8, c=5
b2-4ac=(-8)2-4\u00d72\u00d75=64-40=24>0
\u2234x= = =
\u2234\u539f\u65b9\u7a0b\u7684\u89e3\u4e3ax1=,x2= .
4\uff0e\u56e0\u5f0f\u5206\u89e3\u6cd5\uff1a\u628a\u65b9\u7a0b\u53d8\u5f62\u4e3a\u4e00\u8fb9\u662f\u96f6\uff0c\u628a\u53e6\u4e00\u8fb9\u7684\u4e8c\u6b21\u4e09\u9879\u5f0f\u5206\u89e3\u6210\u4e24\u4e2a\u4e00\u6b21\u56e0\u5f0f\u7684\u79ef\u7684\u5f62\u5f0f\uff0c\u8ba9
\u4e24\u4e2a\u4e00\u6b21\u56e0\u5f0f\u5206\u522b\u7b49\u4e8e\u96f6\uff0c\u5f97\u5230\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff0c\u89e3\u8fd9\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u6240\u5f97\u5230\u7684\u6839\uff0c\u5c31\u662f\u539f\u65b9\u7a0b\u7684\u4e24\u4e2a
\u6839\u3002\u8fd9\u79cd\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u65b9\u6cd5\u53eb\u505a\u56e0\u5f0f\u5206\u89e3\u6cd5\u3002
\u4f8b4\uff0e\u7528\u56e0\u5f0f\u5206\u89e3\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\uff1a
(1) (x+3)(x-6)=-8 (2) 2x2+3x=0
(3) 6x2+5x-50=0 (\u9009\u5b66\uff09 (4)x2-2( + )x+4=0 \uff08\u9009\u5b66\uff09
(1)\u89e3\uff1a(x+3)(x-6)=-8 \u5316\u7b80\u6574\u7406\u5f97
x2-3x-10=0 (\u65b9\u7a0b\u5de6\u8fb9\u4e3a\u4e8c\u6b21\u4e09\u9879\u5f0f\uff0c\u53f3\u8fb9\u4e3a\u96f6)
(x-5)(x+2)=0 (\u65b9\u7a0b\u5de6\u8fb9\u5206\u89e3\u56e0\u5f0f)
\u2234x-5=0\u6216x+2=0 (\u8f6c\u5316\u6210\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b)
\u2234x1=5,x2=-2\u662f\u539f\u65b9\u7a0b\u7684\u89e3\u3002
(2)\u89e3\uff1a2x2+3x=0
x(2x+3)=0 (\u7528\u63d0\u516c\u56e0\u5f0f\u6cd5\u5c06\u65b9\u7a0b\u5de6\u8fb9\u5206\u89e3\u56e0\u5f0f)
\u2234x=0\u62162x+3=0 (\u8f6c\u5316\u6210\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b)
\u2234x1=0\uff0cx2=-\u662f\u539f\u65b9\u7a0b\u7684\u89e3\u3002
\u6ce8\u610f\uff1a\u6709\u4e9b\u540c\u5b66\u505a\u8fd9\u79cd\u9898\u76ee\u65f6\u5bb9\u6613\u4e22\u6389x=0\u8fd9\u4e2a\u89e3\uff0c\u5e94\u8bb0\u4f4f\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u6709\u4e24\u4e2a\u89e3\u3002
(3)\u89e3\uff1a6x2+5x-50=0
(2x-5)(3x+10)=0 (\u5341\u5b57\u76f8\u4e58\u5206\u89e3\u56e0\u5f0f\u65f6\u8981\u7279\u522b\u6ce8\u610f\u7b26\u53f7\u4e0d\u8981\u51fa\u9519)
\u22342x-5=0\u62163x+10=0
\u2234x1=, x2=- \u662f\u539f\u65b9\u7a0b\u7684\u89e3\u3002
(4)\u89e3\uff1ax2-2(+ )x+4 =0 \uff08\u22354 \u53ef\u5206\u89e3\u4e3a2 •2 \uff0c\u2234\u6b64\u9898\u53ef\u7528\u56e0\u5f0f\u5206\u89e3\u6cd5\uff09
(x-2)(x-2 )=0
\u2234x1=2 ,x2=2\u662f\u539f\u65b9\u7a0b\u7684\u89e3\u3002
\u5c0f\u7ed3\uff1a
\u4e00\u822c\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff0c\u6700\u5e38\u7528\u7684\u65b9\u6cd5\u8fd8\u662f\u56e0\u5f0f\u5206\u89e3\u6cd5\uff0c\u5728\u5e94\u7528\u56e0\u5f0f\u5206\u89e3\u6cd5\u65f6\uff0c\u4e00\u822c\u8981\u5148\u5c06\u65b9\u7a0b\u5199\u6210\u4e00\u822c
\u5f62\u5f0f\uff0c\u540c\u65f6\u5e94\u4f7f\u4e8c\u6b21\u9879\u7cfb\u6570\u5316\u4e3a\u6b63\u6570\u3002
\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\u662f\u6700\u57fa\u672c\u7684\u65b9\u6cd5\u3002
\u516c\u5f0f\u6cd5\u548c\u914d\u65b9\u6cd5\u662f\u6700\u91cd\u8981\u7684\u65b9\u6cd5\u3002\u516c\u5f0f\u6cd5\u9002\u7528\u4e8e\u4efb\u4f55\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff08\u6709\u4eba\u79f0\u4e4b\u4e3a\u4e07\u80fd\u6cd5\uff09\uff0c\u5728\u4f7f\u7528\u516c\u5f0f
\u6cd5\u65f6\uff0c\u4e00\u5b9a\u8981\u628a\u539f\u65b9\u7a0b\u5316\u6210\u4e00\u822c\u5f62\u5f0f\uff0c\u4ee5\u4fbf\u786e\u5b9a\u7cfb\u6570\uff0c\u800c\u4e14\u5728\u7528\u516c\u5f0f\u524d\u5e94\u5148\u8ba1\u7b97\u5224\u522b\u5f0f\u7684\u503c\uff0c\u4ee5\u4fbf\u5224\u65ad\u65b9\u7a0b
\u662f\u5426\u6709\u89e3\u3002
\u914d\u65b9\u6cd5\u662f\u63a8\u5bfc\u516c\u5f0f\u7684\u5de5\u5177\uff0c\u638c\u63e1\u516c\u5f0f\u6cd5\u540e\u5c31\u53ef\u4ee5\u76f4\u63a5\u7528\u516c\u5f0f\u6cd5\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u4e86\uff0c\u6240\u4ee5\u4e00\u822c\u4e0d\u7528\u914d\u65b9\u6cd5
\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u3002\u4f46\u662f\uff0c\u914d\u65b9\u6cd5\u5728\u5b66\u4e60\u5176\u4ed6\u6570\u5b66\u77e5\u8bc6\u65f6\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\uff0c\u662f\u521d\u4e2d\u8981\u6c42\u638c\u63e1\u7684\u4e09\u79cd\u91cd\u8981\u7684\u6570\u5b66\u65b9
\u6cd5\u4e4b\u4e00\uff0c\u4e00\u5b9a\u8981\u638c\u63e1\u597d\u3002\uff08\u4e09\u79cd\u91cd\u8981\u7684\u6570\u5b66\u65b9\u6cd5\uff1a\u6362\u5143\u6cd5\uff0c\u914d\u65b9\u6cd5\uff0c\u5f85\u5b9a\u7cfb\u6570\u6cd5\uff09\u3002
\u4f8b5\uff0e\u7528\u9002\u5f53\u7684\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\u3002(\u9009\u5b66\uff09
\uff081\uff094(x+2)2-9(x-3)2=0 \uff082\uff09x2+(2-)x+ -3=0
\uff083\uff09 x2-2 x=- \uff084\uff094x2-4mx-10x+m2+5m+6=0
\u5206\u6790\uff1a\uff081\uff09\u9996\u5148\u5e94\u89c2\u5bdf\u9898\u76ee\u6709\u65e0\u7279\u70b9\uff0c\u4e0d\u8981\u76f2\u76ee\u5730\u5148\u505a\u4e58\u6cd5\u8fd0\u7b97\u3002\u89c2\u5bdf\u540e\u53d1\u73b0\uff0c\u65b9\u7a0b\u5de6\u8fb9\u53ef\u7528\u5e73\u65b9\u5dee
\u516c\u5f0f\u5206\u89e3\u56e0\u5f0f\uff0c\u5316\u6210\u4e24\u4e2a\u4e00\u6b21\u56e0\u5f0f\u7684\u4e58\u79ef\u3002
\uff082\uff09\u53ef\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5c06\u65b9\u7a0b\u5de6\u8fb9\u56e0\u5f0f\u5206\u89e3\u3002
\uff083\uff09\u5316\u6210\u4e00\u822c\u5f62\u5f0f\u540e\u5229\u7528\u516c\u5f0f\u6cd5\u89e3\u3002
\uff084\uff09\u628a\u65b9\u7a0b\u53d8\u5f62\u4e3a 4x2-2(2m+5)x+(m+2)(m+3)=0\uff0c\u7136\u540e\u53ef\u5229\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u56e0\u5f0f\u5206\u89e3\u3002
\uff081\uff09\u89e3\uff1a4(x+2)2-9(x-3)2=0
[2(x+2)+3(x-3)][2(x+2)-3(x-3)]=0
(5x-5)(-x+13)=0
5x-5=0\u6216-x+13=0
\u2234x1=1,x2=13
\uff082\uff09\u89e3\uff1a x2+(2- )x+ -3=0
[x-(-3)](x-1)=0
x-(-3)=0\u6216x-1=0
\u2234x1=-3\uff0cx2=1
\uff083\uff09\u89e3\uff1ax2-2 x=-
x2-2 x+ =0 (\u5148\u5316\u6210\u4e00\u822c\u5f62\u5f0f)
\u25b3=(-2 )2-4 \u00d7=12-8=4>0
\u2234x=
\u2234x1=,x2=
\uff084\uff09\u89e3\uff1a4x2-4mx-10x+m2+5m+6=0
4x2-2(2m+5)x+(m+2)(m+3)=0
[2x-(m+2)][2x-(m+3)]=0
2x-(m+2)=0\u62162x-(m+3)=0
\u2234x1= ,x2=
\u4f8b6\uff0e\u6c42\u65b9\u7a0b3(x+1)2+5(x+1)(x-4)+2(x-4)2=0\u7684\u4e8c\u6839\u3002 (\u9009\u5b66\uff09
\u5206\u6790\uff1a\u6b64\u65b9\u7a0b\u5982\u679c\u5148\u505a\u4e58\u65b9\uff0c\u4e58\u6cd5\uff0c\u5408\u5e76\u540c\u7c7b\u9879\u5316\u6210\u4e00\u822c\u5f62\u5f0f\u540e\u518d\u505a\u5c06\u4f1a\u6bd4\u8f83\u7e41\u7410\uff0c\u4ed4\u7ec6\u89c2\u5bdf\u9898\u76ee\uff0c\u6211
\u4eec\u53d1\u73b0\u5982\u679c\u628ax+1\u548cx-4\u5206\u522b\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\uff0c\u5219\u65b9\u7a0b\u5de6\u8fb9\u53ef\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u5206\u89e3\u56e0\u5f0f\uff08\u5b9e\u9645\u4e0a\u662f\u8fd0\u7528\u6362\u5143\u7684\u65b9
\u6cd5\uff09
\u89e3\uff1a[3(x+1)+2(x-4)][(x+1)+(x-4)]=0
\u5373 (5x-5)(2x-3)=0
\u22345(x-1)(2x-3)=0
(x-1)(2x-3)=0
\u2234x-1=0\u62162x-3=0
\u2234x1=1,x2=\u662f\u539f\u65b9\u7a0b\u7684\u89e3\u3002
\u4f8b7\uff0e\u7528\u914d\u65b9\u6cd5\u89e3\u5173\u4e8ex\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2+px+q=0
\u89e3\uff1ax2+px+q=0\u53ef\u53d8\u5f62\u4e3a
x2+px=-q (\u5e38\u6570\u9879\u79fb\u5230\u65b9\u7a0b\u53f3\u8fb9)
x2+px+( )2=-q+()2 (\u65b9\u7a0b\u4e24\u8fb9\u90fd\u52a0\u4e0a\u4e00\u6b21\u9879\u7cfb\u6570\u4e00\u534a\u7684\u5e73\u65b9)
(x+)2= (\u914d\u65b9)
\u5f53p2-4q\u22650\u65f6\uff0c\u22650\uff08\u5fc5\u987b\u5bf9p2-4q\u8fdb\u884c\u5206\u7c7b\u8ba8\u8bba\uff09
\u2234x=- \u00b1=
\u2234x1= ,x2=
\u5f53p2-4q<0\u65f6\uff0c<0\u6b64\u65f6\u539f\u65b9\u7a0b\u65e0\u5b9e\u6839\u3002
\u8bf4\u660e\uff1a\u672c\u9898\u662f\u542b\u6709\u5b57\u6bcd\u7cfb\u6570\u7684\u65b9\u7a0b\uff0c\u9898\u76ee\u4e2d\u5bf9p, q\u6ca1\u6709\u9644\u52a0\u6761\u4ef6\uff0c\u56e0\u6b64\u5728\u89e3\u9898\u8fc7\u7a0b\u4e2d\u5e94\u968f\u65f6\u6ce8\u610f\u5bf9\u5b57\u6bcd
\u53d6\u503c\u7684\u8981\u6c42\uff0c\u5fc5\u8981\u65f6\u8fdb\u884c\u5206\u7c7b\u8ba8\u8bba\u3002
\u7ec3\u4e60\uff1a
\uff08\u4e00\uff09\u7528\u9002\u5f53\u7684\u65b9\u6cd5\u89e3\u4e0b\u5217\u65b9\u7a0b\uff1a
1. 6x2-x-2=0 2. (x+5)(x-5)=3
3. x2-x=0 4. x2-4x+4=0
5. 3x2+1=2x 6. (2x+3)2+5(2x+3)-6=0
\uff08\u4e8c\uff09\u89e3\u4e0b\u5217\u5173\u4e8ex\u7684\u65b9\u7a0b
1.x2-ax+-b2=0 2. x2-( + )ax+ a2=0
\u7ec3\u4e60\u53c2\u8003\u7b54\u6848\uff1a
\uff08\u4e00\uff091.x1=- ,x2= 2.x1=2,x2=-2
3.x1=0,x2= 4.x1=x2=2 5.x1=x2=
6.\u89e3\uff1a\uff08\u628a2x+3\u770b\u4f5c\u4e00\u4e2a\u6574\u4f53\uff0c\u5c06\u65b9\u7a0b\u5de6\u8fb9\u5206\u89e3\u56e0\u5f0f\uff09
[(2x+3)+6][(2x+3)-1]=0
\u5373 (2x+9)(2x+2)=0
\u22342x+9=0\u62162x+2=0
\u2234x1=-,x2=-1\u662f\u539f\u65b9\u7a0b\u7684\u89e3\u3002
\uff08\u4e8c\uff091\uff0e\u89e3\uff1ax2-ax+( +b)( -b)=0 2\u3001\u89e3\uff1ax2-(+ )ax+ a• a=0
[x-( +b)] [x-( -b)]=0 (x- a)(x-a)=0
\u2234x-( +b)=0\u6216x-( -b) =0 x- a=0\u6216x-a=0
\u2234x1= +b\uff0cx2= -b\u662f \u2234x1= a\uff0cx2=a\u662f
\u539f\u65b9\u7a0b\u7684\u89e3\u3002 \u539f\u65b9\u7a0b\u7684\u89e3\u3002
\u6d4b\u8bd5
\u9009\u62e9\u9898
1\uff0e\u65b9\u7a0bx(x-5)=5(x-5)\u7684\u6839\u662f\uff08 \uff09
A\u3001x=5 B\u3001x=-5 C\u3001x1=x2=5 D\u3001x1=x2=-5
2\uff0e\u591a\u9879\u5f0fa2+4a-10\u7684\u503c\u7b49\u4e8e11\uff0c\u5219a\u7684\u503c\u4e3a\uff08 \uff09\u3002
A\u30013\u62167 B\u3001-3\u62167 C\u30013\u6216-7 D\u3001-3\u6216-7
3\uff0e\u82e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bax2+bx+c=0\u4e2d\u7684\u4e8c\u6b21\u9879\u7cfb\u6570\uff0c\u4e00\u6b21\u9879\u7cfb\u6570\u548c\u5e38\u6570\u9879\u4e4b\u548c\u7b49\u4e8e\u96f6\uff0c\u90a3\u4e48\u65b9\u7a0b\u5fc5\u6709\u4e00\u4e2a
\u6839\u662f\uff08 \uff09\u3002
A\u30010 B\u30011 C\u3001-1 D\u3001\u00b11
4\uff0e \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bax2+bx+c=0\u6709\u4e00\u4e2a\u6839\u662f\u96f6\u7684\u6761\u4ef6\u4e3a\uff08 \uff09\u3002
A\u3001b\u22600\u4e14c=0 B\u3001b=0\u4e14c\u22600
C\u3001b=0\u4e14c=0 D\u3001c=0
5\uff0e \u65b9\u7a0bx2-3x=10\u7684\u4e24\u4e2a\u6839\u662f\uff08 \uff09\u3002
A\u3001-2\uff0c5 B\u30012\uff0c-5 C\u30012\uff0c5 D\u3001-2\uff0c-5
6\uff0e \u65b9\u7a0bx2-3x+3=0\u7684\u89e3\u662f\uff08 \uff09\u3002
A\u3001 B\u3001 C\u3001 D\u3001\u65e0\u5b9e\u6839
7\uff0e \u65b9\u7a0b2x2-0.15=0\u7684\u89e3\u662f\uff08 \uff09\u3002
A\u3001x= B\u3001x=-
C\u3001x1=0.27, x2=-0.27 D\u3001x1=, x2=-
8\uff0e \u65b9\u7a0bx2-x-4=0\u5de6\u8fb9\u914d\u6210\u4e00\u4e2a\u5b8c\u5168\u5e73\u65b9\u5f0f\u540e\uff0c\u6240\u5f97\u7684\u65b9\u7a0b\u662f\uff08 \uff09\u3002
A\u3001(x-)2= B\u3001(x- )2=-
C\u3001(x- )2= D\u3001\u4ee5\u4e0a\u7b54\u6848\u90fd\u4e0d\u5bf9
9\uff0e \u5df2\u77e5\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0bx2-2x-m=0\uff0c\u7528\u914d\u65b9\u6cd5\u89e3\u8be5\u65b9\u7a0b\u914d\u65b9\u540e\u7684\u65b9\u7a0b\u662f\uff08 \uff09\u3002
A\u3001(x-1)2=m2+1 B\u3001(x-1)2=m-1 C\u3001(x-1)2=1-m D\u3001(x-1)2=m+1
\u7b54\u6848\u4e0e\u89e3\u6790
\u7b54\u6848\uff1a1.C 2.C 3.B 4.D 5.A 6.D 7.D 8.C 9.D
\u89e3\u6790\uff1a
1\uff0e\u5206\u6790\uff1a\u79fb\u9879\u5f97\uff1a(x-5)2=0\uff0c\u5219x1=x2=5,
\u6ce8\u610f\uff1a\u65b9\u7a0b\u4e24\u8fb9\u4e0d\u8981\u8f7b\u6613\u9664\u4ee5\u4e00\u4e2a\u6574\u5f0f\uff0c\u53e6\u5916\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u6709\u5b9e\u6570\u6839\uff0c\u4e00\u5b9a\u662f\u4e24\u4e2a\u3002
2\uff0e\u5206\u6790\uff1a\u4f9d\u9898\u610f\u5f97\uff1aa2+4a-10=11, \u89e3\u5f97 a=3\u6216a=-7.
3\uff0e\u5206\u6790\uff1a\u4f9d\u9898\u610f\uff1a\u6709a+b+c=0, \u65b9\u7a0b\u5de6\u4fa7\u4e3aa+b+c, \u4e14\u5177\u4ec5\u6709x=1\u65f6\uff0c ax2+bx+c=a+b+c\uff0c\u610f\u5473\u7740\u5f53x=1
\u65f6\uff0c\u65b9\u7a0b\u6210\u7acb\uff0c\u5219\u5fc5\u6709\u6839\u4e3ax=1\u3002
4\uff0e\u5206\u6790\uff1a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b ax2+bx+c=0\u82e5\u6709\u4e00\u4e2a\u6839\u4e3a\u96f6\uff0c
\u5219ax2+bx+c\u5fc5\u5b58\u5728\u56e0\u5f0fx\uff0c\u5219\u6709\u4e14\u4ec5\u6709c=0\u65f6\uff0c\u5b58\u5728\u516c\u56e0\u5f0fx\uff0c\u6240\u4ee5 c=0.
\u53e6\u5916\uff0c\u8fd8\u53ef\u4ee5\u5c06x=0\u4ee3\u5165\uff0c\u5f97c=0\uff0c\u66f4\u7b80\u5355\uff01
5\uff0e\u5206\u6790\uff1a\u539f\u65b9\u7a0b\u53d8\u4e3a x2-3x-10=0,
\u5219(x-5)(x+2)=0
x-5=0 \u6216x+2=0
x1=5, x2=-2.
6\uff0e\u5206\u6790\uff1a\u0394=9-4\u00d73=-3<0\uff0c\u5219\u539f\u65b9\u7a0b\u65e0\u5b9e\u6839\u3002
7\uff0e\u5206\u6790\uff1a2x2=0.15
x2=
x=\u00b1
\u6ce8\u610f\u6839\u5f0f\u7684\u5316\u7b80\uff0c\u5e76\u6ce8\u610f\u76f4\u63a5\u5f00\u5e73\u65b9\u65f6\uff0c\u4e0d\u8981\u4e22\u6839\u3002
8\uff0e\u5206\u6790\uff1a\u4e24\u8fb9\u4e58\u4ee53\u5f97\uff1ax2-3x-12=0\uff0c\u7136\u540e\u6309\u7167\u4e00\u6b21\u9879\u7cfb\u6570\u914d\u65b9\uff0cx2-3x+(-)2=12+(- )2\uff0c
\u6574\u7406\u4e3a\uff1a(x-)2=
\u65b9\u7a0b\u53ef\u4ee5\u5229\u7528\u7b49\u5f0f\u6027\u8d28\u53d8\u5f62\uff0c\u5e76\u4e14 x2-bx\u914d\u65b9\u65f6\uff0c\u914d\u65b9\u9879\u4e3a\u4e00\u6b21\u9879\u7cfb\u6570-b\u7684\u4e00\u534a\u7684\u5e73\u65b9\u3002
9\uff0e\u5206\u6790\uff1ax2-2x=m, \u5219 x2-2x+1=m+1
\u5219(x-1)2=m+1.
\u4e2d\u8003\u89e3\u6790
\u8003\u9898\u8bc4\u6790
1\uff0e\uff08\u7518\u8083\u7701\uff09\u65b9\u7a0b\u7684\u6839\u662f\uff08 \uff09
\uff08A\uff09 \uff08B\uff09 \uff08C\uff09 \u6216 \uff08D\uff09 \u6216
\u8bc4\u6790\uff1a\u56e0\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u6709\u4e24\u4e2a\u6839\uff0c\u6240\u4ee5\u7528\u6392\u9664\u6cd5\uff0c\u6392\u9664A\u3001B\u9009\u9879\uff0c\u518d\u7528\u9a8c\u8bc1\u6cd5\u5728C\u3001D\u9009\u9879\u4e2d\u9009\u51fa\u6b63\u786e
\u9009\u9879\u3002\u4e5f\u53ef\u4ee5\u7528\u56e0\u5f0f\u5206\u89e3\u7684\u65b9\u6cd5\u89e3\u6b64\u65b9\u7a0b\u6c42\u51fa\u7ed3\u679c\u5bf9\u7167\u9009\u9879\u4e5f\u53ef\u4ee5\u3002\u9009\u9879A\u3001B\u662f\u53ea\u8003\u8651\u4e86\u4e00\u65b9\u9762\u5fd8\u8bb0\u4e86\u4e00\u5143
\u4e8c\u6b21\u65b9\u7a0b\u662f\u4e24\u4e2a\u6839\uff0c\u6240\u4ee5\u662f\u9519\u8bef\u7684\uff0c\u800c\u9009\u9879D\u4e2dx=\uff0d1\uff0c\u4e0d\u80fd\u4f7f\u65b9\u7a0b\u5de6\u53f3\u76f8\u7b49\uff0c\u6240\u4ee5\u4e5f\u662f\u9519\u8bef\u7684\u3002\u6b63\u786e\u9009\u9879\u4e3a
C\u3002
\u53e6\u5916\u5e38\u6709\u540c\u5b66\u5728\u65b9\u7a0b\u7684\u4e24\u8fb9\u540c\u65f6\u9664\u4ee5\u4e00\u4e2a\u6574\u5f0f\uff0c\u4f7f\u5f97\u65b9\u7a0b\u4e22\u6839\uff0c\u8fd9\u79cd\u9519\u8bef\u8981\u907f\u514d\u3002
2\uff0e\uff08\u5409\u6797\u7701\uff09\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6839\u662f__________\u3002
\u8bc4\u6790\uff1a\u601d\u8def\uff0c\u6839\u636e\u65b9\u7a0b\u7684\u7279\u70b9\u8fd0\u7528\u56e0\u5f0f\u5206\u89e3\u6cd5\uff0c\u6216\u516c\u5f0f\u6cd5\u6c42\u89e3\u5373\u53ef\u3002
3\uff0e\uff08\u8fbd\u5b81\u7701\uff09\u65b9\u7a0b\u7684\u6839\u4e3a\uff08 \uff09
\uff08A\uff090 \uff08B\uff09\u20131 \uff08C\uff090\uff0c\u20131 \uff08D\uff090\uff0c1
\u8bc4\u6790\uff1a\u601d\u8def\uff1a\u56e0\u65b9\u7a0b\u4e3a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff0c\u6240\u4ee5\u6709\u4e24\u4e2a\u5b9e\u6839\uff0c\u7528\u6392\u9664\u6cd5\u548c\u9a8c\u8bc1\u6cd5\u53ef\u9009\u51fa\u6b63\u786e\u9009\u9879\u4e3aC\uff0c\u800cA\u3001
B\u4e24\u9009\u9879\u53ea\u6709\u4e00\u4e2a\u6839\u3002D\u9009\u9879\u4e00\u4e2a\u6570\u4e0d\u662f\u65b9\u7a0b\u7684\u6839\u3002\u53e6\u5916\u53ef\u4ee5\u7528\u76f4\u63a5\u6c42\u65b9\u7a0b\u6839\u7684\u65b9\u6cd5\u3002
4\uff0e\uff08\u6cb3\u5357\u7701\uff09\u5df2\u77e5x\u7684\u4e8c\u6b21\u65b9\u7a0b\u7684\u4e00\u4e2a\u6839\u662f\u20132\uff0c\u90a3\u4e48k=__________\u3002
\u8bc4\u6790\uff1ak=4.\u5c06x=-2\u4ee3\u5165\u5230\u539f\u65b9\u7a0b\u4e2d\u53bb\uff0c\u6784\u9020\u6210\u5173\u4e8ek\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff0c\u7136\u540e\u6c42\u89e3\u3002
5\uff0e\uff08\u897f\u5b89\u5e02\uff09\u7528\u76f4\u63a5\u5f00\u5e73\u65b9\u6cd5\u89e3\u65b9\u7a0b(x-3)2=8\u5f97\u65b9\u7a0b\u7684\u6839\u4e3a\uff08 \uff09
\uff08A\uff09x=3+2 \uff08B\uff09x=3-2
\uff08C\uff09x1=3+2 ,x2=3-2 \uff08D\uff09x1=3+2,x2=3-2
\u8bc4\u6790\uff1a\u7528\u89e3\u65b9\u7a0b\u7684\u65b9\u6cd5\u76f4\u63a5\u6c42\u89e3\u5373\u53ef\uff0c\u4e5f\u53ef\u4e0d\u8ba1\u7b97\uff0c\u5229\u7528\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u6709\u89e3\uff0c\u5219\u5fc5\u6709\u4e24\u89e3\u53ca8\u7684\u5e73\u65b9
\u6839\uff0c\u5373\u53ef\u9009\u51fa\u7b54\u6848\u3002
\u8bfe\u5916\u62d3\u5c55
\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b
\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff08quadratic equation of one variable\uff09\u662f\u6307\u542b\u6709\u4e00\u4e2a\u672a\u77e5\u6570\u4e14\u672a\u77e5\u6570\u7684\u6700\u9ad8\u6b21\u9879\u662f\u4e8c
\u6b21\u7684\u6574\u5f0f\u65b9\u7a0b\u3002 \u4e00\u822c\u5f62\u5f0f\u4e3a
ax2+bx+c=0, (a\u22600)
\u5728\u516c\u5143\u524d\u4e24\u5343\u5e74\u5de6\u53f3\uff0c\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u53ca\u5176\u89e3\u6cd5\u5df2\u51fa\u73b0\u4e8e\u53e4\u5df4\u6bd4\u4f26\u4eba\u7684\u6ce5\u677f\u6587\u4e66\u4e2d\uff1a\u6c42\u51fa\u4e00\u4e2a\u6570\u4f7f\u5b83\u4e0e\u5b83
\u7684\u5012\u6570\u4e4b\u548c\u7b49\u4e8e \u4e00\u4e2a\u5df2\u7ed9\u6570\uff0c\u5373\u6c42\u51fa\u8fd9\u6837\u7684x\u4e0e\uff0c\u4f7f
x=1, x+ =b,
x2-bx+1=0,
\u4ed6\u4eec\u505a\u51fa( )2\uff1b\u518d\u505a\u51fa \uff0c\u7136\u540e\u5f97\u51fa\u89e3\u7b54\uff1a+ \u53ca - \u3002\u53ef\u89c1\u5df4\u6bd4\u4f26\u4eba\u5df2\u77e5\u9053\u4e00\u5143\u4e8c\u6b21
\u65b9\u7a0b\u7684\u6c42\u6839\u516c\u5f0f\u3002\u4f46\u4ed6\u4eec\u5f53\u65f6\u5e76\u4e0d\u63a5\u53d7 \u8d1f\u6570\uff0c\u6240\u4ee5\u8d1f\u6839\u662f\u7565\u800c\u4e0d\u63d0\u7684\u3002
\u57c3\u53ca\u7684\u7eb8\u8349\u6587\u4e66\u4e2d\u4e5f\u6d89\u53ca\u5230\u6700\u7b80\u5355\u7684\u4e8c\u6b21\u65b9\u7a0b\uff0c\u4f8b\u5982\uff1aax2=b\u3002
\u5728\u516c\u5143\u524d4\u30015\u4e16\u7eaa\u65f6\uff0c\u6211\u56fd\u5df2\u638c\u63e1\u4e86\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6c42\u6839\u516c\u5f0f\u3002
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\u4e4b\u4e00\u3002
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\u5f0f\u3002
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\u4e0d\u540c\u7684\u5f62\u5f0f\uff0c\u4ee4 a\u3001b\u3001c\u4e3a\u6b63\u6570\uff0c\u5982ax2=bx\u3001ax2=c\u3001 ax2+c=bx\u3001ax2+bx=c\u3001ax2=bx+c \u7b49\u3002\u628a\u4e8c\u6b21\u65b9\u7a0b\u5206\u6210
\u4e0d\u540c\u5f62\u5f0f\u4f5c\u8ba8\u8bba\uff0c\u662f\u4f9d\u7167\u4e22\u756a\u56fe\u7684\u505a\u6cd5\u3002\u963f\u5c14\uff0e\u82b1\u62c9\u5b50\u7c73\u9664\u4e86\u7ed9\u51fa\u4e8c\u6b21\u65b9\u7a0b\u7684\u51e0\u79cd\u7279\u6b8a\u89e3\u6cd5\u5916\uff0c\u8fd8\u7b2c\u4e00 \u6b21
\u7ed9\u51fa\u4e8c\u6b21\u65b9\u7a0b\u7684\u4e00\u822c\u89e3\u6cd5\uff0c\u627f\u8ba4\u65b9\u7a0b\u6709\u4e24\u4e2a\u6839\uff0c\u5e76\u6709\u65e0\u7406\u6839\u5b58\u5728\uff0c\u4f46\u5374\u672a\u6709\u865a\u6839\u7684\u8ba4\u8bc6\u3002\u5341\u516d\u4e16\u7eaa\u610f\u5927\u5229\u7684
\u6570\u5b66\u5bb6\u4eec\u4e3a\u4e86\u89e3\u4e09\u6b21\u65b9\u7a0b\u800c\u5f00\u59cb\u5e94\u7528\u590d\u6570\u6839\u3002
\u97e6\u8fbe\uff081540-1603\uff09\u9664\u5df2\u77e5\u4e00\u5143\u65b9\u7a0b\u5728\u590d\u6570\u8303\u56f4\u5185\u6052\u6709\u89e3\u5916\uff0c\u8fd8\u7ed9\u51fa\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\u3002
\u6211\u56fd\u300a\u4e5d\u7ae0\u7b97\u672f\uff0e\u52fe\u80a1\u300b\u7ae0\u4e2d\u7684\u7b2c\u4e8c\u5341\u9898\u662f\u901a\u8fc7\u6c42\u76f8\u5f53\u4e8e x2+34x-71000=0\u7684\u6b63\u6839\u800c\u89e3\u51b3\u7684\u3002\u6211\u56fd\u6570\u5b66
\u5bb6\u8fd8\u5728\u65b9\u7a0b\u7684\u7814\u7a76\u4e2d\u5e94\u7528\u4e86\u5185\u63d2\u6cd5
\u4e00\u3001\u586b\u7a7a\u9898
1\uff0e\u5df2\u77e54x2n-5+5=0\u662f\u5173\u4e8ex\u7684\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff0c\u5219n=_______\uff0e
2\uff0e\u82e5x=-1\u662f\u65b9\u7a0b2x-3a=7\u7684\u89e3\uff0c\u5219a=_______\uff0e
3\uff0e\u5f53x=______\u65f6\uff0c\u4ee3\u6570\u5f0f x-1\u548cx+2 \u7684\u503c\u4e92\u4e3a\u76f8\u53cd\u6570\uff0e
4\uff0e\u5df2\u77e5x\u7684 \u4e0ex\u76843\u500d\u7684\u548c\u6bd4x\u76842\u500d\u5c116\uff0c\u5217\u51fa\u65b9\u7a0b\u4e3a________\uff0e
5\uff0e\u5728\u65b9\u7a0b4x+3y=1\u4e2d\uff0c\u7528x\u7684\u4ee3\u6570\u5f0f\u8868\u793ay\uff0c\u5219y=________\uff0e
6\uff0e\u67d0\u5546\u54c1\u7684\u8fdb\u4ef7\u4e3a300\u5143\uff0c\u6309\u6807\u4ef7\u7684\u516d\u6298\u9500\u552e\u65f6\uff0c\u5229\u6da6\u7387\u4e3a5%\uff0c\u5219\u5546\u54c1\u7684\u6807\u4ef7\u4e3a____\u5143\uff0e
7\uff0e\u5df2\u77e5\u4e09\u4e2a\u8fde\u7eed\u7684\u5076\u6570\u7684\u548c\u4e3a60\uff0c\u5219\u8fd9\u4e09\u4e2a\u6570\u662f________\uff0e
8\uff0e\u4e00\u4ef6\u5de5\u4f5c\uff0c\u7532\u5355\u72ec\u505a\u97006\u5929\u5b8c\u6210\uff0c\u4e59\u5355\u72ec\u505a\u970012\u5929\u5b8c\u6210\uff0c\u82e5\u7532\u3001\u4e59\u4e00\u8d77\u505a\uff0c\u5219\u9700________\u5929\u5b8c\u6210\uff0e
\u4e8c\u3001\u9009\u62e9\u9898
9\uff0e\u65b9\u7a0b2m+x=1\u548c3x-1=2x+1\u6709\u76f8\u540c\u7684\u89e3\uff0c\u5219m\u7684\u503c\u4e3a\uff08 \uff09\uff0e
A\uff0e0 B\uff0e1 C\uff0e-2 D\uff0e- 0.5
10\uff0e\u65b9\u7a0b\u25023x\u2502=18\u7684\u89e3\u7684\u60c5\u51b5\u662f\uff08 \uff09\uff0e
A\uff0e\u6709\u4e00\u4e2a\u89e3\u662f6 B\uff0e\u6709\u4e24\u4e2a\u89e3\uff0c\u662f\u00b16
C\uff0e\u65e0\u89e3 D\uff0e\u6709\u65e0\u6570\u4e2a\u89e3
11\uff0e\u82e5\u65b9\u7a0b2ax-3=5x+b\u65e0\u89e3\uff0c\u5219a\uff0cb\u5e94\u6ee1\u8db3\uff08 \uff09\uff0e
A\uff0ea\u22605/2 \uff0cb\u22603 B\uff0ea=5/2 \uff0cb=-3
C\uff0ea\u22605/2\uff0cb=-3 D\uff0ea=5/2 \uff0cb\u2260-3
13\uff0e\u5728800\u7c73\u8dd1\u9053\u4e0a\u6709\u4e24\u4eba\u7ec3\u4e2d\u957f\u8dd1\uff0c\u7532\u6bcf\u5206\u949f\u8dd1300\u7c73\uff0c\u4e59\u6bcf\u5206\u949f\u8dd1260\u7c73\uff0c\u4e24\u4eba\u540c\u5730\u3001\u540c\u65f6\u3001\u540c\u5411\u8d77\u8dd1\uff0ct\u5206\u949f\u540e\u7b2c\u4e00\u6b21\u76f8\u9047\uff0ct\u7b49\u4e8e\uff08 \uff09\uff0e
A\uff0e10\u5206 B\uff0e15\u5206 C\uff0e20\u5206 D\uff0e30\u5206
14\uff0e\u67d0\u5546\u573a\u5728\u7edf\u8ba1\u4eca\u5e74\u7b2c\u4e00\u5b63\u5ea6\u7684\u9500\u552e\u989d\u65f6\u53d1\u73b0\uff0c\u4e8c\u6708\u4efd\u6bd4\u4e00\u6708\u4efd\u589e\u52a0\u4e8610%\uff0c\u4e09\u6708\u4efd\u6bd4\u4e8c\u6708\u4efd\u51cf\u5c11\u4e8610%\uff0c\u5219\u4e09\u6708\u4efd\u7684\u9500\u552e\u989d\u6bd4\u4e00\u6708\u4efd\u7684\u9500\u552e\u989d\uff08 \uff09\uff0e
A\uff0e\u589e\u52a010% B\uff0e\u51cf\u5c1110% C\uff0e\u4e0d\u589e\u4e5f\u4e0d\u51cf D\uff0e\u51cf\u5c111%
15\uff0e\u5728\u68af\u5f62\u9762\u79ef\u516c\u5f0fS= \uff08a+b\uff09h\u4e2d\uff0c\u5df2\u77e5h=6\u5398\u7c73\uff0ca=3\u5398\u7c73\uff0cS=24\u5e73\u65b9\u5398\u7c73\uff0c\u5219b=\uff08 \uff09\u5398\u7c73\uff0e
A\uff0e1 B\uff0e5 C\uff0e3 D\uff0e4
16\uff0e\u5df2\u77e5\u7532\u7ec4\u670928\u4eba\uff0c\u4e59\u7ec4\u670920\u4eba\uff0c\u5219\u4e0b\u5217\u8c03\u914d\u65b9\u6cd5\u4e2d\uff0c\u80fd\u4f7f\u4e00\u7ec4\u4eba\u6570\u4e3a\u53e6\u4e00\u7ec4\u4eba\u6570\u7684\u4e00\u534a\u7684\u662f\uff08 \uff09\uff0e
A\uff0e\u4ece\u7532\u7ec4\u8c0312\u4eba\u53bb\u4e59\u7ec4 B\uff0e\u4ece\u4e59\u7ec4\u8c034\u4eba\u53bb\u7532\u7ec4
C\uff0e\u4ece\u4e59\u7ec4\u8c0312\u4eba\u53bb\u7532\u7ec4
D\uff0e\u4ece\u7532\u7ec4\u8c0312\u4eba\u53bb\u4e59\u7ec4\uff0c\u6216\u4ece\u4e59\u7ec4\u8c034\u4eba\u53bb\u7532\u7ec4
17\uff0e\u8db3\u7403\u6bd4\u8d5b\u7684\u89c4\u5219\u4e3a\u80dc\u4e00\u573a\u5f973\u5206\uff0c\u5e73\u4e00\u573a\u5f971\u5206\uff0c\u8d1f\u4e00\u573a\u662f0\u5206\uff0c\u4e00\u4e2a\u961f\u6253\u4e8614\u573a\u6bd4\u8d5b\uff0c\u8d1f\u4e865\u573a\uff0c\u5171\u5f9719\u5206\uff0c\u90a3\u4e48\u8fd9\u4e2a\u961f\u80dc\u4e86\uff08 \uff09\u573a\uff0e
A\uff0e3 B\uff0e4 C\uff0e5 D\uff0e6
18\uff0e\u5982\u56fe\u6240\u793a\uff0c\u5728\u7532\u56fe\u4e2d\u7684\u5de6\u76d8\u4e0a\u5c062\u4e2a\u7269\u54c1\u53d6\u4e0b\u4e00\u4e2a\uff0c\u5219\u5728\u4e59\u56fe\u4e2d\u53f3\u76d8\u4e0a\u53d6\u4e0b\u51e0\u4e2a\u781d\u7801\u624d\u80fd\u4f7f\u5929\u5e73\u4ecd\u7136\u5e73\u8861\uff1f\uff08 \uff09
A\uff0e3\u4e2a B\uff0e4\u4e2a C\uff0e5\u4e2a D\uff0e6\u4e2a
\u4e09\u3001\u89e3\u7b54\u9898
19\uff0e\u89e3\u65b9\u7a0b 200\uff082-3y\uff09-4.5= -9.5
20\u3001\u89e3\u65b9\u7a0b\uff1a \uff08x-1\uff09- \uff083x+2\uff09= - \uff08x-1\uff09\uff0e
21\uff0e\u5982\u56fe\u6240\u793a\uff0c\u5728\u4e00\u5757\u5c55\u793a\u724c\u4e0a\u6574\u9f50\u5730\u8d34\u7740\u8bb8\u591a\u8d44\u6599\u5361\u7247\uff0c\u8fd9\u4e9b\u5361\u7247\u7684\u5927\u5c0f\u76f8\u540c\uff0c\u5361\u7247\u4e4b\u95f4\u9732\u51fa\u4e86\u4e09\u5757\u6b63\u65b9\u5f62\u7684\u7a7a\u767d\uff0c\u5728\u56fe\u4e2d\u7528\u659c\u7ebf\u6807\u660e\uff0e\u5df2\u77e5\u5361\u7247\u7684\u77ed\u8fb9\u957f\u5ea6\u4e3a10\u5398\u7c73\uff0c\u60f3\u8981\u914d\u4e09\u5f20\u56fe\u7247\u6765\u586b\u8865\u7a7a\u767d\uff0c\u9700\u8981\u914d\u591a\u5927\u5c3a\u5bf8\u7684\u56fe\u7247\uff0e
22\uff0e\u4e00\u4e2a\u4e09\u4f4d\u6570\uff0c\u767e\u4f4d\u4e0a\u7684\u6570\u5b57\u6bd4\u5341\u4f4d\u4e0a\u7684\u6570\u59271\uff0c\u4e2a\u4f4d\u4e0a\u7684\u6570\u5b57\u6bd4\u5341\u4f4d\u4e0a\u6570\u5b57\u76843\u500d\u5c112\uff0e\u82e5\u5c06\u4e09\u4e2a\u6570\u5b57\u987a\u5e8f\u98a0\u5012\u540e\uff0c\u6240\u5f97\u7684\u4e09\u4f4d\u6570\u4e0e\u539f\u4e09\u4f4d\u6570\u7684\u548c\u662f1171\uff0c\u6c42\u8fd9\u4e2a\u4e09\u4f4d\u6570\uff0e
23\uff0e\u636e\u4e86\u89e3\uff0c\u706b\u8f66\u7968\u4ef7\u6309\u201c \u201d\u7684\u65b9\u6cd5\u6765\u786e\u5b9a\uff0e\u5df2\u77e5A\u7ad9\u81f3H\u7ad9\u603b\u91cc\u7a0b\u6570\u4e3a1500\u5343\u7c73\uff0c\u5168\u7a0b\u53c2\u8003\u4ef7\u4e3a180\u5143\uff0e\u4e0b\u8868\u662f\u6cbf\u9014\u5404\u7ad9\u81f3H\u7ad9\u7684\u91cc\u7a0b\u6570\uff1a
\u8f66\u7ad9\u540d A B C D E F G H
\u5404\u7ad9\u81f3H\u7ad9
\u91cc\u7a0b\u6570\uff08\u7c73\uff09 1500 1130 910 622 402 219 72 0
\u4f8b\u5982\uff1a\u8981\u786e\u5b9a\u4eceB\u7ad9\u81f3E\u7ad9\u706b\u8f66\u7968\u4ef7\uff0c\u5176\u7968\u4ef7\u4e3a =87.36\u224887\uff08\u5143\uff09\uff0e
\uff081\uff09\u6c42A\u7ad9\u81f3F\u7ad9\u7684\u706b\u8f66\u7968\u4ef7\uff08\u7ed3\u679c\u7cbe\u786e\u52301\u5143\uff09\uff0e
\uff082\uff09\u65c5\u5ba2\u738b\u5927\u5988\u4e58\u706b\u8f66\u53bb\u5973\u513f\u5bb6\uff0c\u4e0a\u8f66\u8fc7\u4e24\u7ad9\u540e\u62ff\u7740\u8f66\u7968\u95ee\u4e58\u52a1\u5458\uff1a\u201c\u6211\u5feb\u5230\u7ad9\u4e86\u5417\uff1f\u201d\u4e58\u52a1\u5458\u770b\u5230\u738b\u5927\u5988\u624b\u4e2d\u7684\u7968\u4ef7\u662f66\u5143\uff0c\u9a6c\u4e0a\u8bf4\u4e0b\u4e00\u7ad9\u5c31\u5230\u4e86\uff0e\u8bf7\u95ee\u738b\u5927\u5988\u662f\u5728\u54ea\u4e00\u7ad9\u4e0b\u7684\u8f66\uff08\u8981\u6c42\u5199\u51fa\u89e3\u7b54\u8fc7\u7a0b\uff09\uff0e
24\uff0e\u67d0\u516c\u56ed\u7684\u95e8\u7968\u4ef7\u683c\u89c4\u5b9a\u5982\u4e0b\u8868\uff1a
\u8d2d\u7968\u4eba\u6570 1~50\u4eba 51~100\u4eba 100\u4eba\u4ee5\u4e0a
\u7968 \u4ef7 5\u5143 4.5\u5143 4\u5143
\u67d0\u6821\u521d\u4e00\u7532\u3001\u4e59\u4e24\u73ed\u5171103\u4eba\uff08\u5176\u4e2d\u7532\u73ed\u4eba\u6570\u591a\u4e8e\u4e59\u73ed\u4eba\u6570\uff09\u53bb\u6e38\u8be5\u516c\u56ed\uff0c\u5982\u679c\u4e24\u73ed\u90fd\u4ee5\u73ed\u4e3a\u5355\u4f4d\u5206\u522b\u8d2d\u7968\uff0c\u5219\u4e00\u5171\u9700\u4ed8486\u5143\uff0e
\uff081\uff09\u5982\u679c\u4e24\u73ed\u8054\u5408\u8d77\u6765\uff0c\u4f5c\u4e3a\u4e00\u4e2a\u56e2\u4f53\u8d2d\u7968\uff0c\u5219\u53ef\u4ee5\u8282\u7ea6\u591a\u5c11\u94b1\uff1f
\uff082\uff09\u4e24\u73ed\u5404\u6709\u591a\u5c11\u540d\u5b66\u751f\uff1f\uff08\u63d0\u793a\uff1a\u672c\u9898\u5e94\u5206\u60c5\u51b5\u8ba8\u8bba\uff09
\u7b54\u6848:
\u4e00\u30011\uff0e3
2\uff0e-3 \uff08\u70b9\u62e8\uff1a\u5c06x=-1\u4ee3\u5165\u65b9\u7a0b2x-3a=7\uff0c\u5f97-2-3a=7\uff0c\u5f97a=-3\uff09
3\uff0e-4 \uff08\u70b9\u62e8\uff1a\u89e3\u65b9\u7a0b x-1=2x+3 \uff0c\u5f97x= -4\uff09
4\uff0e x+3x=2x-6 5\uff0ey= - x
6\uff0e525 \uff08\u70b9\u62e8\uff1a\u8bbe\u6807\u4ef7\u4e3ax\u5143\uff0c\u5219 =5%\uff0c\u89e3\u5f97x=525\u5143\uff09
7\uff0e18\uff0c20\uff0c22
8\uff0e4 [\u70b9\u62e8\uff1a\u8bbe\u9700x\u5929\u5b8c\u6210\uff0c\u5219x\uff081/6 +1/12 \uff09=1\uff0c\u89e3\u5f97x=4]
\u4e8c\u30019\uff0eD
10\uff0eB \uff08\u70b9\u62e8\uff1a\u7528\u5206\u7c7b\u8ba8\u8bba\u6cd5\uff1a
\u5f53x\u22650\u65f6\uff0c3x=18\uff0c\u2234x=6
\u5f53x<0\u65f6\uff0c-3=18\uff0c\u2234x=-6
\u6545\u672c\u9898\u5e94\u9009B\uff09
11\uff0eD \uff08\u70b9\u62e8\uff1a\u75312ax-3=5x+b\uff0c\u5f97\uff082a-5\uff09x=b+3\uff0c\u6b32\u4f7f\u65b9\u7a0b\u65e0\u89e3\uff0c\u5fc5\u987b\u4f7f2a-5=0\uff0ca= \uff0cb+3\u22600\uff0cb\u2260-3\uff0c\u6545\u672c\u9898\u5e94\u9009D\uff0e\uff09
13\uff0eC \uff08\u70b9\u62e8\uff1a\u5f53\u7532\u3001\u4e59\u4e24\u4eba\u518d\u6b21\u76f8\u9047\u65f6\uff0c\u7532\u6bd4\u4e59\u591a\u8dd1\u4e86800\u7c73\uff0c\u5217\u65b9\u7a0b\u5f97260t+800=300t\uff0c\u89e3\u5f97t=20\uff09
14\uff0eD
15\uff0eB \uff08\u70b9\u62e8\uff1a\u7531\u516c\u5f0fS= \uff08a+b\uff09h\uff0c\u5f97b= -3=5\u5398\u7c73\uff09
16\uff0eD 17\uff0eC
18\uff0eA \uff08\u70b9\u62e8\uff1a\u6839\u636e\u7b49\u5f0f\u7684\u6027\u8d282\uff09
\u4e09\u300119\uff0e\u89e3\uff1a\u539f\u65b9\u7a0b\u53d8\u5f62\u4e3a
200\uff082-3y\uff09-4.5= -9.5
\u2234400-600y-4.5=1-100y-9.5
500y=404
\u2234y= 101/125
20\uff0e\u89e3\uff1a\u53bb\u5206\u6bcd\uff0c\u5f97
15\uff08x-1\uff09-8\uff083x+2\uff09=2-30\uff08x-1\uff09
\u223421x=63
\u2234x=3
21\uff0e\u89e3\uff1a\u8bbe\u5361\u7247\u7684\u957f\u5ea6\u4e3ax\u5398\u7c73\uff0c\u6839\u636e\u56fe\u610f\u548c\u9898\u610f\uff0c\u5f97
5x=3\uff08x+10\uff09\uff0c\u89e3\u5f97x=15
\u6240\u4ee5\u9700\u914d\u6b63\u65b9\u5f62\u56fe\u7247\u7684\u8fb9\u957f\u4e3a15-10=5\uff08\u5398\u7c73\uff09
\u7b54\uff1a\u9700\u8981\u914d\u8fb9\u957f\u4e3a5\u5398\u7c73\u7684\u6b63\u65b9\u5f62\u56fe\u7247\uff0e
22\uff0e\u89e3\uff1a\u8bbe\u5341\u4f4d\u4e0a\u7684\u6570\u5b57\u4e3ax\uff0c\u5219\u4e2a\u4f4d\u4e0a\u7684\u6570\u5b57\u4e3a3x-2\uff0c\u767e\u4f4d\u4e0a\u7684\u6570\u5b57\u4e3ax+1\uff0c\u6545
100\uff08x+1\uff09+10x+\uff083x-2\uff09+100\uff083x-2\uff09+10x+\uff08x+1\uff09=1171
\u89e3\u5f97x=3
\u7b54\uff1a\u539f\u4e09\u4f4d\u6570\u662f437\uff0e
23\uff0e\u89e3\uff1a\uff081\uff09\u7531\u5df2\u77e5\u53ef\u5f97 =0.12
A\u7ad9\u81f3H\u7ad9\u7684\u5b9e\u9645\u91cc\u7a0b\u6570\u4e3a1500-219=1281\uff08\u5343\u7c73\uff09
\u6240\u4ee5A\u7ad9\u81f3F\u7ad9\u7684\u706b\u8f66\u7968\u4ef7\u4e3a0.12\u00d71281=153.72\u2248154\uff08\u5143\uff09
\uff082\uff09\u8bbe\u738b\u5927\u5988\u5b9e\u9645\u4e58\u8f66\u91cc\u7a0b\u6570\u4e3ax\u5343\u7c73\uff0c\u6839\u636e\u9898\u610f\uff0c\u5f97 =66
\u89e3\u5f97x=550\uff0c\u5bf9\u7167\u8868\u683c\u53ef\u77e5\uff0cD\u7ad9\u4e0eG\u7ad9\u8ddd\u79bb\u4e3a550\u5343\u7c73\uff0c\u6240\u4ee5\u738b\u5927\u5988\u662f\u5728D\u7ad9\u6216G\u7ad9\u4e0b\u7684\u8f66\uff0e
24\uff0e\u89e3\uff1a\uff081\uff09\u2235103>100
\u2234\u6bcf\u5f20\u95e8\u7968\u63094\u5143\u6536\u8d39\u7684\u603b\u7968\u989d\u4e3a103\u00d74=412\uff08\u5143\uff09
\u53ef\u8282\u7701486-412=74\uff08\u5143\uff09
\uff082\uff09\u2235\u7532\u3001\u4e59\u4e24\u73ed\u5171103\u4eba\uff0c\u7532\u73ed\u4eba\u6570>\u4e59\u73ed\u4eba\u6570
\u2234\u7532\u73ed\u591a\u4e8e50\u4eba\uff0c\u4e59\u73ed\u6709\u4e24\u79cd\u60c5\u5f62\uff1a
\u2460\u82e5\u4e59\u73ed\u5c11\u4e8e\u6216\u7b49\u4e8e50\u4eba\uff0c\u8bbe\u4e59\u73ed\u6709x\u4eba\uff0c\u5219\u7532\u73ed\u6709\uff08103-x\uff09\u4eba\uff0c\u4f9d\u9898\u610f\uff0c\u5f97
5x+4.5\uff08103-x\uff09=486
\u89e3\u5f97x=45\uff0c\u2234103-45=58\uff08\u4eba\uff09
\u5373\u7532\u73ed\u670958\u4eba\uff0c\u4e59\u73ed\u670945\u4eba\uff0e
\u2461\u82e5\u4e59\u73ed\u8d85\u8fc750\u4eba\uff0c\u8bbe\u4e59\u73edx\u4eba\uff0c\u5219\u7532\u73ed\u6709\uff08103-x\uff09\u4eba\uff0c
\u6839\u636e\u9898\u610f\uff0c\u5f97
4.5x+4.5\uff08103-x\uff09=486
\u2235\u6b64\u7b49\u5f0f\u4e0d\u6210\u7acb\uff0c\u2234\u8fd9\u79cd\u60c5\u51b5\u4e0d\u5b58\u5728\uff0e
\u6545\u7532\u73ed\u4e3a58\u4eba\uff0c\u4e59\u73ed\u4e3a45\u4eba\uff0e
==================================================================3.2 \u89e3\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff08\u4e00\uff09
\u2014\u2014\u5408\u5e76\u540c\u7c7b\u9879\u4e0e\u79fb\u9879
\u3010\u77e5\u80fd\u70b9\u5206\u7c7b\u8bad\u7ec3\u3011
\u77e5\u80fd\u70b91 \u5408\u5e76\u4e0e\u79fb\u9879
1\uff0e\u4e0b\u9762\u89e3\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u7684\u53d8\u5f62\u5bf9\u4e0d\u5bf9\uff1f\u5982\u679c\u4e0d\u5bf9\uff0c\u6307\u51fa\u9519\u5728\u54ea\u91cc\uff0c\u5e76\u6539\u6b63\uff0e
\uff081\uff09\u4ece3x-8=2\uff0c\u5f97\u52303x=2-8; \uff082\uff09\u4ece3x=x-6\uff0c\u5f97\u52303x-x=6.
2\uff0e\u4e0b\u5217\u53d8\u5f62\u4e2d\uff1a
\u2460\u7531\u65b9\u7a0b =2\u53bb\u5206\u6bcd\uff0c\u5f97x-12=10;
\u2461\u7531\u65b9\u7a0b x= \u4e24\u8fb9\u540c\u9664\u4ee5 \uff0c\u5f97x=1;
\u2462\u7531\u65b9\u7a0b6x-4=x+4\u79fb\u9879\uff0c\u5f977x=0;
\u2463\u7531\u65b9\u7a0b2- \u4e24\u8fb9\u540c\u4e58\u4ee56\uff0c\u5f9712-x-5=3\uff08x+3\uff09.
\u9519\u8bef\u53d8\u5f62\u7684\u4e2a\u6570\u662f\uff08 \uff09\u4e2a\uff0e
A\uff0e4 B\uff0e3 C\uff0e2 D\uff0e1
3\uff0e\u82e5\u5f0f\u5b505x-7\u4e0e4x+9\u7684\u503c\u76f8\u7b49\uff0c\u5219x\u7684\u503c\u7b49\u4e8e\uff08 \uff09\uff0e
A\uff0e2 B\uff0e16 C\uff0e D\uff0e
4\uff0e\u5408\u5e76\u4e0b\u5217\u5f0f\u5b50\uff0c\u628a\u7ed3\u679c\u5199\u5728\u6a2a\u7ebf\u4e0a\uff0e
\uff081\uff09x-2x+4x=__________; \uff082\uff095y+3y-4y=_________;
\uff083\uff094y-2.5y-3.5y=__________\uff0e
5\uff0e\u89e3\u4e0b\u5217\u65b9\u7a0b\uff0e
\uff081\uff096x=3x-7 \uff082\uff095=7+2x
\uff083\uff09y- = y-2 \uff084\uff097y+6=4y-3
6\uff0e\u6839\u636e\u4e0b\u5217\u6761\u4ef6\u6c42x\u7684\u503c:
\uff081\uff0925\u4e0ex\u7684\u5dee\u662f-8\uff0e \uff082\uff09x\u7684 \u4e0e8\u7684\u548c\u662f2\uff0e
7\uff0e\u5982\u679c\u65b9\u7a0b3x+4=0\u4e0e\u65b9\u7a0b3x+4k=8\u662f\u540c\u89e3\u65b9\u7a0b\uff0c\u5219k=________\uff0e
8\uff0e\u5982\u679c\u5173\u4e8ey\u7684\u65b9\u7a0b3y+4=4a\u548cy-5=a\u6709\u76f8\u540c\u89e3\uff0c\u5219a\u7684\u503c\u662f________\uff0e
\u77e5\u80fd\u70b92 \u7528\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u5206\u6790\u548c\u89e3\u51b3\u5b9e\u9645\u95ee\u9898
9\uff0e\u4e00\u6876\u8272\u62c9\u6cb9\u6bdb\u91cd8\u5343\u514b\uff0c\u4ece\u6876\u4e2d\u53d6\u51fa\u4e00\u534a\u6cb9\u540e\uff0c\u6bdb\u91cd4.5\u5343\u514b\uff0c\u6876\u4e2d\u539f\u6709\u6cb9\u591a\u5c11\u5343\u514b\uff1f
10\uff0e\u5982\u56fe\u6240\u793a\uff0c\u5929\u5e73\u7684\u4e24\u4e2a\u76d8\u5185\u5206\u522b\u76db\u670950\u514b\uff0c45\u514b\u76d0\uff0c\u95ee\u5e94\u8be5\u4ece\u76d8A\u5185\u62ff\u51fa\u591a\u5c11\u76d0\u653e\u5230\u76d8B\u5185\uff0c\u624d\u80fd\u4f7f\u4e24\u76d8\u5185\u6240\u76db\u76d0\u7684\u8d28\u91cf\u76f8\u7b49\uff0e
11\uff0e\u5c0f\u660e\u6bcf\u5929\u65e9\u4e0a7\uff1a50\u4ece\u5bb6\u51fa\u53d1\uff0c\u5230\u8ddd\u5bb61000\u7c73\u7684\u5b66\u6821\u4e0a\u5b66\uff0c\u6bcf\u5929\u7684\u884c\u8d70\u901f\u5ea6\u4e3a80\u7c73/\u5206\uff0e\u4e00\u5929\u5c0f\u660e\u4ece\u5bb6\u51fa\u53d15\u5206\u540e\uff0c\u7238\u7238\u4ee5180\u7c73/\u5206\u7684\u901f\u5ea6\u53bb\u8ffd\u5c0f\u660e\uff0c\u5e76\u4e14\u5728\u9014\u4e2d\u8ffd\u4e0a\u4e86\u4ed6\uff0e
\uff081\uff09\u7238\u7238\u8ffd\u4e0a\u5c0f\u660e\u7528\u4e86\u591a\u957f\u65f6\u95f4\uff1f
\uff082\uff09\u8ffd\u4e0a\u5c0f\u660e\u65f6\u8ddd\u79bb\u5b66\u6821\u6709\u591a\u8fdc\uff1f
\u3010\u7efc\u5408\u5e94\u7528\u63d0\u9ad8\u3011
12\uff0e\u5df2\u77e5y1=2x+8\uff0cy2=6-2x\uff0e
\uff081\uff09\u5f53x\u53d6\u4f55\u503c\u65f6\uff0cy1=y2? \uff082\uff09\u5f53x\u53d6\u4f55\u503c\u65f6\uff0cy1\u6bd4y2\u5c0f5?
13\uff0e\u5df2\u77e5\u5173\u4e8ex\u7684\u65b9\u7a0b x=-2\u7684\u6839\u6bd4\u5173\u4e8ex\u7684\u65b9\u7a0b5x-2a=0\u7684\u6839\u59272\uff0c\u6c42\u5173\u4e8ex\u7684\u65b9\u7a0b -15=0\u7684\u89e3\uff0e
\u3010\u5f00\u653e\u63a2\u7d22\u521b\u65b0\u3011
14\uff0e\u7f16\u5199\u4e00\u9053\u5e94\u7528\u9898\uff0c\u4f7f\u5b83\u6ee1\u8db3\u4e0b\u5217\u8981\u6c42\uff1a
\uff081\uff09\u9898\u610f\u9002\u5408\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b \uff1b
\uff082\uff09\u6240\u7f16\u5e94\u7528\u9898\u5b8c\u6574\uff0c\u9898\u76ee\u6e05\u695a\uff0c\u4e14\u7b26\u5408\u5b9e\u9645\u751f\u6d3b\uff0e
\u3010\u4e2d\u8003\u771f\u9898\u5b9e\u6218\u3011
15\uff0e\uff08\u6c5f\u897f\uff09\u5982\u56fe3-2\u662f\u67d0\u98ce\u666f\u533a\u7684\u65c5\u6e38\u8def\u7ebf\u793a\u610f\u56fe\uff0c\u5176\u4e2dB\uff0cC\uff0cD\u4e3a\u98ce\u666f\u70b9\uff0cE\u4e3a\u4e24\u6761\u8def\u7684\u4ea4\u53c9\u70b9\uff0c\u56fe\u4e2d\u6570\u636e\u4e3a\u76f8\u5e94\u4e24\u70b9\u95f4\u7684\u8def\u7a0b\uff08\u5355\u4f4d\uff1a\u5343\u7c73\uff09\uff0e\u4e00\u5b66\u751f\u4eceA\u5904\u51fa\u53d1\uff0c\u4ee52\u5343\u7c73/\u65f6\u7684\u901f\u5ea6\u6b65\u884c\u6e38\u89c8\uff0c\u6bcf\u4e2a\u666f\u70b9\u7684\u9017\u7559\u65f6\u95f4\u5747\u4e3a0\uff0e5\u5c0f\u65f6\uff0e
\uff081\uff09\u5f53\u4ed6\u6cbf\u8def\u7ebfA\u2014D\u2014C\u2014E\u2014A\u6e38\u89c8\u56de\u5230A\u5904\u65f6\uff0c\u5171\u7528\u4e863\u5c0f\u65f6\uff0c\u6c42CE\u7684\u957f\uff0e
\uff082\uff09\u82e5\u6b64\u5b66\u751f\u6253\u7b97\u4eceA\u5904\u51fa\u53d1\uff0c\u6b65\u884c\u901f\u5ea6\u4e0e\u5404\u666f\u70b9\u7684\u9017\u7559\u65f6\u95f4\u4fdd\u6301\u4e0d\u53d8\uff0c\u4e14\u5728\u6700\u77ed\u65f6\u95f4\u5185\u770b\u5b8c\u4e09\u4e2a\u666f\u70b9\u8fd4\u56de\u5230A\u5904\uff0c\u8bf7\u4f60\u4e3a\u4ed6\u8bbe\u8ba1\u4e00\u6761\u6b65\u884c\u8def\u7ebf\uff0c\u5e76\u8bf4\u660e\u8fd9\u6837\u8bbe\u8ba1\u7684\u7406\u7531\uff08\u4e0d\u8003\u8651\u5176\u4ed6\u56e0\u7d20\uff09\uff0e
\u7b54\u6848:
1\uff0e\uff081\uff09\u9898\u4e0d\u5bf9\uff0c-8\u4ece\u7b49\u53f7\u7684\u5de6\u8fb9\u79fb\u5230\u53f3\u8fb9\u5e94\u8be5\u6539\u53d8\u7b26\u53f7\uff0c\u5e94\u6539\u4e3a3x=2+8\uff0e
\uff082\uff09\u9898\u4e0d\u5bf9\uff0c-6\u5728\u7b49\u53f7\u53f3\u8fb9\u6ca1\u6709\u79fb\u9879\uff0c\u4e0d\u5e94\u8be5\u6539\u53d8\u7b26\u53f7\uff0c\u5e94\u6539\u4e3a3x-x=-6\uff0e
2\uff0eB [\u70b9\u62e8\uff1a\u65b9\u7a0b x= \uff0c\u4e24\u8fb9\u540c\u9664\u4ee5 \uff0c\u5f97x= \uff09
3\uff0eB [\u70b9\u62e8\uff1a\u7531\u9898\u610f\u53ef\u5217\u65b9\u7a0b5x-7=4x+9\uff0c\u89e3\u5f97x=16\uff09
4\uff0e\uff081\uff093x \uff082\uff094y \uff083\uff09-2y
5\uff0e\uff081\uff096x=3x-7\uff0c\u79fb\u9879\uff0c\u5f976x-3x=-7\uff0c\u5408\u5e76\uff0c\u5f973x=-7\uff0c\u7cfb\u6570\u5316\u4e3a1\uff0c\u5f97x=- \uff0e
\uff082\uff095=7+2x\uff0c\u53737+2x=5\uff0c\u79fb\u9879\uff0c\u5408\u5e76\uff0c\u5f972x=-2\uff0c\u7cfb\u6570\u5316\u4e3a1\uff0c\u5f97x=-1\uff0e
\uff083\uff09y- = y-2\uff0c\u79fb\u9879\uff0c\u5f97y- y=-2+ \uff0c\u5408\u5e76\uff0c\u5f97 y=- \uff0c\u7cfb\u6570\u5316\u4e3a1\uff0c\u5f97y=-3\uff0e
\uff084\uff097y+6=4y-3\uff0c\u79fb\u9879\uff0c\u5f977y-4y=-3-6\uff0c \u5408\u5e76\u540c\u7c7b\u9879\uff0c\u5f973y=-9\uff0c
\u7cfb\u6570\u5316\u4e3a1\uff0c\u5f97y=-3\uff0e
6\uff0e\uff081\uff09\u6839\u636e\u9898\u610f\u53ef\u5f97\u65b9\u7a0b\uff1a25-x=-8\uff0c\u79fb\u9879\uff0c\u5f9725+8=x\uff0c\u5408\u5e76\uff0c\u5f97x=33\uff0e
\uff082\uff09\u6839\u636e\u9898\u610f\u53ef\u5f97\u65b9\u7a0b\uff1a x+8=2\uff0c\u79fb\u9879\uff0c\u5f97 x=2-8\uff0c\u5408\u5e76\uff0c\u5f97 x=-6\uff0c
\u7cfb\u6570\u5316\u4e3a1\uff0c\u5f97x=-10\uff0e
7\uff0ek=3 [\u70b9\u62e8\uff1a\u89e3\u65b9\u7a0b3x+4=0\uff0c\u5f97x=- \uff0c\u628a\u5b83\u4ee3\u51653x+4k=8\uff0c\u5f97-4+4k=8\uff0c\u89e3\u5f97k=3]
8\uff0e19 [\u70b9\u62e8\uff1a\u22353y+4=4a\uff0cy-5=a\u662f\u540c\u89e3\u65b9\u7a0b\uff0c\u2234y= =5+a\uff0c\u89e3\u5f97a=19]
9\uff0e\u89e3\uff1a\u8bbe\u6876\u4e2d\u539f\u6709\u6cb9x\u5343\u514b\uff0c\u90a3\u4e48\u53d6\u6389\u4e00\u534a\u6cb9\u540e\uff0c\u4f59\u4e0b\u90e8\u5206\u8272\u62c9\u6cb9\u7684\u6bdb\u91cd\u4e3a\uff088-0.5x\uff09\u5343\u514b\uff0c\u7531\u5df2\u77e5\u6761\u4ef6\u77e5\uff0c\u4f59\u4e0b\u7684\u8272\u62c9\u6cb9\u7684\u6bdb\u91cd\u4e3a4.5\u5343\u514b\uff0c\u56e0\u4e3a\u4f59\u4e0b\u7684\u8272\u62c9\u6cb9\u7684\u6bdb\u91cd\u662f\u4e00\u4e2a\u5b9a\u503c\uff0c\u6240\u4ee5\u53ef\u5217\u65b9\u7a0b8-0.5x=4.5\uff0e
\u89e3\u8fd9\u4e2a\u65b9\u7a0b\uff0c\u5f97x=7\uff0e
\u7b54\uff1a\u6876\u4e2d\u539f\u6709\u6cb97\u5343\u514b\uff0e
[\u70b9\u62e8\uff1a\u8fd8\u6709\u5176\u4ed6\u5217\u6cd5]
10\uff0e\u89e3\uff1a\u8bbe\u5e94\u8be5\u4ece\u76d8A\u5185\u62ff\u51fa\u76d0x\u514b\uff0c\u53ef\u5217\u51fa\u8868\u683c\uff1a
\u76d8A \u76d8B
\u539f\u6709\u76d0\uff08\u514b\uff09 50 45
\u73b0\u6709\u76d0\uff08\u514b\uff09 50-x 45+x
\u8bbe\u5e94\u4ece\u76d8A\u5185\u62ff\u51fa\u76d0x\u514b\u653e\u5728\u76d8B\u5185\uff0c\u5219\u6839\u636e\u9898\u610f\uff0c\u5f9750-x=45+x\uff0e
\u89e3\u8fd9\u4e2a\u65b9\u7a0b\uff0c\u5f97x=2.5\uff0c\u7ecf\u68c0\u9a8c\uff0c\u7b26\u5408\u9898\u610f\uff0e
\u7b54\uff1a\u5e94\u4ece\u76d8A\u5185\u62ff\u51fa\u76d02.5\u514b\u653e\u5165\u5230\u76d8B\u5185\uff0e
11\uff0e\u89e3\uff1a\uff081\uff09\u8bbe\u7238\u7238\u8ffd\u4e0a\u5c0f\u660e\u65f6\uff0c\u7528\u4e86x\u5206\uff0c\u7531\u9898\u610f\uff0c\u5f97
180x=80x+80\u00d75\uff0c
\u79fb\u9879\uff0c\u5f97100x=400\uff0e
\u7cfb\u6570\u5316\u4e3a1\uff0c\u5f97x=4\uff0e
\u6240\u4ee5\u7238\u7238\u8ffd\u4e0a\u5c0f\u660e\u7528\u65f64\u5206\u949f\uff0e
\uff082\uff09180\u00d74=720\uff08\u7c73\uff09\uff0c1000-720=280\uff08\u7c73\uff09\uff0e
\u6240\u4ee5\u8ffd\u4e0a\u5c0f\u660e\u65f6\uff0c\u8ddd\u79bb\u5b66\u6821\u8fd8\u6709280\u7c73\uff0e
12\uff0e\uff081\uff09x=-
[\u70b9\u62e8\uff1a\u7531\u9898\u610f\u53ef\u5217\u65b9\u7a0b2x+8=6-2x\uff0c\u89e3\u5f97x=- ]
\uff082\uff09x=-
[\u70b9\u62e8\uff1a\u7531\u9898\u610f\u53ef\u5217\u65b9\u7a0b6-2x-\uff082x+8\uff09=5\uff0c\u89e3\u5f97x=- ]
13\uff0e\u89e3\uff1a\u2235 x=-2\uff0c\u2234x=-4\uff0e
\u2235\u65b9\u7a0b x=-2\u7684\u6839\u6bd4\u65b9\u7a0b5x-2a=0\u7684\u6839\u59272\uff0c
\u2234\u65b9\u7a0b5x-2a=0\u7684\u6839\u4e3a-6\uff0e
\u22345\u00d7\uff08-6\uff09-2a=0\uff0c\u2234a=-15\uff0e
\u2234 -15=0\uff0e
\u2234x=-225\uff0e
14\uff0e\u672c\u9898\u5f00\u653e\uff0c\u7b54\u6848\u4e0d\u552f\u4e00\uff0e
15\uff0e\u89e3\uff1a\uff081\uff09\u8bbeCE\u7684\u957f\u4e3ax\u5343\u7c73\uff0c\u4f9d\u636e\u9898\u610f\u5f97
1.6+1+x+1=2\uff083-2\u00d70.5\uff09
\u89e3\u5f97x=0.4\uff0c\u5373CE\u7684\u957f\u4e3a0.4\u5343\u7c73\uff0e
\uff082\uff09\u82e5\u6b65\u884c\u8def\u7ebf\u4e3aA\u2014D\u2014C\u2014B\u2014E\u2014A\uff08\u6216A\u2014E\u2014B\u2014C\u2014D\u2014A\uff09\uff0c
\u5219\u6240\u7528\u65f6\u95f4\u4e3a \uff081.6+1+1.2+0.4+1\uff09+3\u00d70.5=4.1\uff08\u5c0f\u65f6\uff09\uff1b
\u82e5\u6b65\u884c\u8def\u7ebf\u4e3aA\u2014D\u2014C\u2014E\u2014B\u2014E\u2014A\uff08\u6216A\u2014E\u2014B\u2014E\u2014C\u2014D\u2014A\uff09\uff0c
\u5219\u6240\u7528\u65f6\u95f4\u4e3a \uff081.6+1+0.4+0.4\u00d72+1\uff09+3\u00d70.5=3.9\uff08\u5c0f\u65f6\uff09\uff0e
\u6545\u6b65\u884c\u8def\u7ebf\u5e94\u4e3aA\u2014D\u2014C\u2014E\u2014B\u2014E\u2014A\uff08\u6216A\u2014E\u2014B\u2014E\u2014C\u2014D\u2014A\uff09\uff0e
\u89e3\u65b9\u7a0b\u7ec3\u4e6010\u9053\uff1a
3x+5=6
3x=1
x=1/3
3x+4=2x+9
3x-2x=5
x=5
3x+3=6-2x
5x=3
x=3/5
2x+6=12
2x=6
x=3
4x-5=15
4x=20
x=5
6x+7=8x-2
8x-6x=9
2x=9
x=9/2
9x+2=11
9x=9
x=1
4x-9=5x+10
5x-4x=10+9
x=19
19-3x=7
3x=19-7
3x=12
x=4
23+3x=2x-11
3x-2x=-11-23
x=-34
\u8fd9\u4e9b\u53ef\u4ee5\u5427\u3002
此时半径增加5，即半径为r+5,此时面积为
S1=π(r+5)²=2S=2πr²
(r+5)^2=2r^2
r+5=根号2r
5=(根号2-1)r
r=5/(根号2-1)=5(根号2+1)
满意谢谢采纳，给个“能解决+原创"！
绛旓細x=40/3 妫楠岋細鎶妜=40/3浠ｅ叆x(x+2)(x-2)=40/3脳46/3脳34/3=62560/27鈮0 鎵浠=40/3鏄師鏂圭▼鐨勬牴 绛旓細姹借墖鍦ㄩ潤姘翠腑鐨勯熷害鏄40/3鍗冪背/灏忔椂銆
绛旓細涓鍏冧竴娆鏂圭▼瑙ｉ姝ラ渚嬮濡備笅锛氬厓涓娆℃柟绋嬬殑涓鑸舰寮忔槸ax+b=0锛屽叾涓璦鍜宐鏄父鏁帮紝x鏄湭鐭ユ暟銆備緥瀛愶細瑙ｆ柟绋3x-7=2 姝ラ1锛氶鍏堬紝鎴戜滑闇瑕佸皢鏂圭▼鍙樺舰锛屼娇寰梮鐨勭郴鏁颁负1銆傛垜浠彲浠ラ氳繃涓よ竟鍚屾椂鍔犱笂7锛屽緱鍒3x=9銆傛楠2锛氱劧鍚庯紝鎴戜滑鍐嶉氳繃涓よ竟鍚屾椂闄や互3锛屽緱鍒皒=3銆傛墍浠ワ紝杩欎釜鏂圭▼鐨勮В鏄痻=3銆
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绛旓細x-0.36x=16鐨 瑙ｏ細1銆佸乏杈规彁鍙栵細(1-0.36)x=16 2銆佸悎骞跺悓绫婚」锛0.64x=16 3銆佺瓑寮忎袱杈瑰悓鏃堕櫎浠0.64锛歺=16梅0.64 4銆佹渶缁堢粨鏋滐細x=25
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绛旓細锛1锛夎绉嶆鏍戞湪闈㈢Н涓篨浜╋紝绉嶆鏍戞湪闈㈢Н涓猴紙30-X锛変憨 X锛2/3(30-X)鈮0 X-20+2/3X鈮0 X鈮12 鍥犱负X鈮10,30-X鈮10 鎵浠鈮20 12鈮鈮20 锛2锛夋鏍戞湪闈㈢Н12浜╂椂锛8000脳12+1200脳(30-12)=117600(鍏)缁垮寲鎬昏垂鐢ㄦ渶浣庝负117600鍏 ...
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