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File:NLC416-14jh006373-105273 初中幾何教本.pdf

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初中幾何教本   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
駱師曾編著
image of artwork listed in title parameter on this page
Title
初中幾何教本
Publisher
開明書店[發行者] ([上海])
Description

目錄
第三編 理解幾何學（續）
第一章 圓的基本定理
254 直線與圓
255 弧
256 圓心角，圓周角
257 弧度與角度
習題四十九
258 等圓心角對等弧定理
259 等弧對等圓心角定理
260 等弧對等弦定理
261 等弦對等弧定理
262 等弧證法
習題五十
263 垂徑平分弦弧定理
264 弦距圓心等遠定理
265 圓心距弦等遠定理
266 等弦證法
267 弦距圓心遠近定理
268 圓心距弦遠近定理
269 不等弦證法
習題五十一
270 弓形
271 圓周角定理
272 圓與多角形
273 內接四邊形對角定理
274 內接四邊形判別定理
習題五十二
275 切線定理
276 切線長
277 切線長定理
278 弦切角定理
279 二弦交角定理
280 切割線交角定理
281 平行線截等弧定理
習題五十三
282 二圓關係
283 連心線
284 公弦
285 二圓相交定理
286 公切線
287 二圓相切定理
習題五十四
第二章 關於圓的作圖題與軌跡
288 圓過三點作圖題的證明
289 求圓心作圖題的證明
習題五十五
290 過圓上定點的切線作圖題的證明
291 過圖外定點的切線作圖題的證明
習題五十六
292 三角形內切圓作圖題
293 傍切圓
294 容定角弓形作圖題
295 公切線作圖題
習題五十七
296 三角形頂點軌跡定理
297 軌跡交截法
習題五十八
第三章 比例，相似形
298 幾何圖形的度量
299 幾何圖形的比
300 二量的關係
301 比例
302 比例基本定理
303 積化比例定理
304 反比定理
305 更比定理
306 合比定理
307 分比定理
308 合分比定理
309 冪根比定理
310 和比定理
311 積比定理
312 倍比定理
習題五十九
313 內分外分
314 比例線段
315 三角形一邊平行線定理
316 三角形二邊分成比例線段定理
習題六十
317 依定比分定線段作圖題
318 第四比例項作圖題
319 三角形內角平分線定理
320 三角形外角平分線定理
習題六十一
321 相似形
習題六十二
322 相似三角形從互等角判別定理
323 相似三角形從各邊成比例判別定理
324 相似三角形從一角相等夾邊成比例判別定理
325 相似三角形高與邊成比例定理
習題六十三
326 比例與相似形的應用
327 比例規
328 畫圖縮放儀器
329 對角線尺
習題六十四
330 相似形周界定理
331 相似形性質定理
332 相似形判別定理
333 相似形作圖題
習題六十五
334 相交二弦定理
335 割線定理
336 切割線定理
習題六十六
337 射影
338 股與弦上射影關係定理
339 高與兩股射影關係定理
340 比例中項作圖題
習題六十七
第四章 畢氏定理及推廣
341 畢氏定理
習題六十八
342 畢氏推廣定理一(銳角對邊定理)
343 畢氏推廣定理二(鈍角對邊定理)
習題六十九
344 三角形中線定理
345 三角形分角線與邊關係定理
346 三角形外接圓直徑與高乘積定理
習題七十
第五章 直線形的面積
347 等積形
348 等高二矩形面積比定理
349 二矩形面積比定理
350 矩形面積定理
習題七十一
351 平行四邊形面積定理
352 三角形面積定理
353 梯形面積定理
354 畢氏定理別證
習題七十二
355 —角相等的三角形面積比定理
356 相似三角形面積比定理
357 相似多角形面積比定理
習題七十三
358 正方形和的等積正方形作圖題
359 二相似多角形和的等積多角形作圖題
360 多角形變成等積三角形作圖題
361 平行四邊形變成等積正方形作圖題
習題七十四
第六章 正多角形與圓的度量
362 正多角形外接圓定理
363 正多角形內切圓定理
364 圓內接正多角形定理
365 圓外切正多角形定理
習題七十五
366 正多角形相似定理
367 正多角形周界比定理
368 正多角形面積定理
習題七十六
369 圓內接正方形作圖題
370 圓內接正六邊形作圖題
371 圓內接及外切正n邊形長的關係公式
372 圓內接正n邊形及正2n邊形邊長的關係公式
373 同圓內接外切正多角形的周界
374 圓周與內接外切正多角形周界的比較
習題七十七
375 圓周相比定理
376 圓周率
377 圓周長定理
378 圓面積定理
習題七十八
總習題
第四編 數值三角
第一章 三角函數定義
379 三角法
380 三角函數
381 等角的三角函數不變定理
382 三角函數的線段表示
習題七十九
383 已知一銳角求三角函數法
384 已知三角函數求銳角法
385 銳角正弦餘弦的增減
386 銳角正切正割的增減
387 銳角餘切餘割的增減
習題八十
第二章 基本關係式,三角函數表的用法
388 同角的三角函數相互關係
389 三角函數的關係圖
390 三角函數的互換
習題八十一
391 簡單三角恆等式
習題八十二
392 餘角的三角函數
393 45°的三角函救
394 60°及30°的三角函數
395 0°的三角函數
396 90°的三角函數
習題八十三
397 三角函數真數表
398 有銳角求函數值
399 有函分值求銳角
400 簡單三角方程
習題題八十四
第三章 直角三角形解法
401 直角三角形解法
402 已知一銳角與弦的解法
403 已知一銳角與一股的解法
404 已知弦與一股的解法
405 已知二股的解法
習題八十五
406 等腰三角形解法
407 正多角形解法
408 屬於直角三角形解法的問題
習題八十六
第四章 簡易測量問題
409 測量術
410 捲尺
411 直立線直立面直立角
412 水平線水平面水平角
413 仰角俯角
414 羅盤
415 方位問題
習題八十七
416 經緯儀
417 代用經緯儀
418 象限儀
419 高與距離問題
習題八十八
總習題
附錄
三角函數真數表
中英名詞對照表

Language Chinese
Publication date 民國三十六年[1947]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.63/77
主題
InfoField
平面幾何
中圖分類
InfoField
G634.63
載體形態
InfoField
240頁

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